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Causal Discovery : Foundations, Algorithms and Applications / / by Luis Enrique Sucar
| Causal Discovery : Foundations, Algorithms and Applications / / by Luis Enrique Sucar |
| Autore | Sucar Luis Enrique |
| Edizione | [1st ed. 2026.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2026 |
| Descrizione fisica | 1 online resource (302 pages) |
| Disciplina | 004.0151 |
| Collana | Computer Science Foundations and Applied Logic |
| Soggetto topico |
Computer science
Graph theory Probabilities Philosophy Computer Science Logic and Foundations of Programming Graph Theory Philosophy of Probability Graph Theory in Probability Probability Theory |
| ISBN | 9783031983450 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Causality -- 3. Causal Graphical Models -- 4. Causal Discovery from Observational Data -- 5. Causal Discovery from Interventional Data -- 6. Causal Discovery in Time Series -- 7. Causal Reinforcement Learning. |
| Record Nr. | UNINA-9911046533103321 |
Sucar Luis Enrique
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| Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2026 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Combinatorics, Graph Theory and Computing : SEICCGTC 2023, Boca Raton, USA, March 6–10 / / edited by Sarah Heuss, Richard M. Low, John C. Wierman
| Combinatorics, Graph Theory and Computing : SEICCGTC 2023, Boca Raton, USA, March 6–10 / / edited by Sarah Heuss, Richard M. Low, John C. Wierman |
| Autore | Hoffman Frederick |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (385 pages) |
| Disciplina | 511.5 |
| Altri autori (Persone) |
HeussSarah
LowRichard M WiermanJohn C |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Graph theory
Probabilities Algorithms Graph Theory Graph Theory in Probability |
| ISBN | 3-031-83864-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Constraint Programming Generation of Optimal Balanced Incomplete Block Design -- 2 Some Remarks on Fibonacci-type Recursive Polynomials -- 3 Survival Probabilities of Counting-Out Games on a Line -- 4 Intersection of Longest Cycle and Largest Bond in 3-Connected Graphs -- 5 Characterizing Minimally 3-Connected Graphs -- 6 Properties of Pancentral and Related Graphs -- 7 The Gathering Number of a Graph and Vertex Degrees -- 8 Complete Multipartite Graphs are Pansophical -- 9 Superuser Pansophy -- 10 The Conclusion to the Edge-Balance Index Set Problem for Complete Bipartite Graphs -- 11 On Tight 6-Cycle Decompositions of Complete 3-Uniform Multi-Hypergraphs -- 12 An Extension of Seymour's Second Neighborhood Conjecture -- 13 k-Domination in Cartesian Product of Complete Graphs -- 14 On Irregular Domination in Graphs -- 15 Cop Numbers of Periodic Graphs -- 16 Euler's Formula for General Graph Embeddings -- 17 Ramsey Theory in Mathematical Olympiad and Nesting Parallelepipeds -- 18 Geometric Parameters of Bipartite Suspensions. |
| Record Nr. | UNINA-9911016070303321 |
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Hoffman Frederick
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Combinatorics, Graph Theory and Computing : SEICCGTC 2022, Boca Raton, USA, March 7–11 / / edited by Sarah Heuss, Richard Low, John C. Wierman
| Combinatorics, Graph Theory and Computing : SEICCGTC 2022, Boca Raton, USA, March 7–11 / / edited by Sarah Heuss, Richard Low, John C. Wierman |
| Autore | Hoffman Frederick |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (429 pages) |
| Disciplina | 511.6 |
| Altri autori (Persone) |
HeussSarah
LowRichard WiermanJohn C. <1949-> |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Graph theory
Probabilities Algorithms Graph Theory Graph Theory in Probability Teoria de grafs Anàlisi combinatòria |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031621666
3031621662 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Agrinsoni C., Janwa H., Delgado M. A New Absolute Irreducibility Criterion for Multivariate Polynomials over Finite Fields -- Abueida A., Daven M. On Decompositions of the Johnson Graph -- Almodóvar L., Brady E., Fitzgerald M., Su H.-H., Todt H. DNA Self-Assembly: Friendship Graphs -- Bajnok B. Additive Combinatorics in Groups and Geometric Combinatorics on Spheres -- Bajnok B. A Walk Through Some Newer Parts of Additive Combinatorics -- Berry T., Schluchter S. Applications of Topological Graph Theory to 2-Manifold Learning -- Bickle A. Nordhaus-Gaddum Theorems for Multifactor Decompositions -- Boats J., Kikas L. The Pansophy of Semi Directed Graphs -- Bunge R.C., Dodson S.R., El-Zanati S.I., Franzmeier J., Horne D. Decomposing the λ-fold complete 3-uniform hypergraph into the lines of the Pasch configuration -- Bunge R.C., El-Zanati S.I., Kirkpatrick J.N., Sanderson S.M., Severino M.J., Turner W.F. The Spectrum Problem for the 4-Uniform 4-Colorable 3-Cycles with Maximum Degree 2 -- Bass C., Butler S. Passing Drops and Descents -- Chand P., Ollis M.A. The Buratti-Horak-Rosa Conjecture Holds for Some Underlying Sets of Size Three -- Choi S.-Y., Guan P. On the Minimum Locating Number of Graphs with a Given Order -- Cloteaux B. Graphic Approximation of Integer Sequences -- Davenport D., Fall F., Francis J., Lee T. Production Varieties of Double Riordan Arrays -- Doucette A., Suffel C. j-Multiple, k-Component Order Neighbor Connectivity -- Hoffman F., Heuss S., Low R., Wierman J. The Volume Editors will be listed in the following order in the contract -- Khodkar A., Leach D. Signed Magic Arrays with Certain Property -- Linthacum N., Martin L., McKenzie T., Overbay S., Tan L.A. Mobius Book Embeddings -- Lu S., Yerger C. The Existence of a Knight’s Tour on the Surface of Rectangular Boxes -- Meissner L.H., Saccoman J.T. Strongly Regular Multigraphs -- Meyerowitz A. Tiling with Three Element Sets -- McKee T.A. Characterizing s-Strongly Chordal Graphs using 2-Paths and k-Chords -- Melles C.G., Joyner D. A Matrix Criterion for Harmonic Morphisms of Graphs with Applications to Graph Products -- Olejniczak D., Vandell R. Changing the Uniform Spectrum by Deleting Edges -- Sarvate D.G., Woldenmariam D.M., Zhang L. Group Divisible Designs with Three Groups and Block Size 4 -- Varghese S., Lakshmanan S.A., Arumugam S. Geodesic Leech Graphs -- Wang J., Fehribach J.D. Prime, Composite, and Fundamental Kirchhoff Graphs -- Wierman J.C., Oberly S.P. A New Upper Bound for the Site Percolation Threshold of the Square Lattice -- Zeleke M., Jani M. On Combinatorial Interpretations of some Elements of the Riordan Group. |
| Record Nr. | UNINA-9910913793103321 |
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Hoffman Frederick
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Distributed Economic Operation in Smart Grid: Model-Based and Model-Free Perspectives / / by Jiahu Qin, Yanni Wan, Fangyuan Li, Yu Kang, Weiming Fu
| Distributed Economic Operation in Smart Grid: Model-Based and Model-Free Perspectives / / by Jiahu Qin, Yanni Wan, Fangyuan Li, Yu Kang, Weiming Fu |
| Autore | Wan Yanni |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (246 pages) |
| Disciplina | 605 |
| Collana | Studies in Systems, Decision and Control |
| Soggetto topico |
Electric power distribution
Mathematical optimization Vehicles Probabilities Graph theory Electronics Energy Grids and Networks Optimization Vehicle Engineering Graph Theory in Probability Electronics and Microelectronics, Instrumentation |
| ISBN | 981-19-8594-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Preliminaries -- Model-Based Distributed Optimization -- Model-Free Distributed Optimization -- Extensions to PEVs Charging/Discharging Scheduling. |
| Record Nr. | UNINA-9910647388203321 |
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Wan Yanni
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| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Game Theory and Networks : New Perspectives and Directions / / edited by Surajit Borkotokey, Rajnish Kumar, Diganta Mukherjee, K. S. Mallikarjuna Rao, Sudipta Sarangi
| Game Theory and Networks : New Perspectives and Directions / / edited by Surajit Borkotokey, Rajnish Kumar, Diganta Mukherjee, K. S. Mallikarjuna Rao, Sudipta Sarangi |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021 |
| Descrizione fisica | 1 online resource (372 pages) |
| Disciplina | 519.3 |
| Collana | Indian Statistical Institute Series |
| Soggetto topico |
Game theory
Queuing theory Probabilities Graph theory Game Theory Queueing Theory Graph Theory in Probability |
| ISBN | 981-16-4737-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Agnieszka Rusinowska: On Different Ranking Methods -- Manipushpak Mitra and Suresh Mutuswami: No-Envy Allocations for Queueing Problems with Multiple Identical Machines -- Amarjyoti Mahanta: On Imitation Learning -- Soumendu Sarkar: Assembly Problems -- Sudipta Sarangi: Social Preferences and the Provision of Public Goods -- Robert P. Gilles: Building Social Networks under Constraints -- Sinan Ertemal and Rajnish Kumar: Rationing Rules under Uncertain Claims: A Survey -- Sujata Gowala and Surajit Borkotokey: A Class of Egalitarian Shapley Values -- Parishmita Boruah: New Characterizations of the Discounted Shapley Values -- Maria Zdimalova: Analysis of Biological Data by Graph Theory Approach -- S. Gokulraj and A. Chandrashekaran: Linear Games and Complementarity Problems -- Anindya Chakravarty, Anirban Chakraborty and Suryansh Upamanyu: A Complex Network View of the Economy -- Souvik Roy, Soumyarup Sadhukhany, and Arunava Sen: Recent Results on Strategy-Proofness of Random Social Choice Functions. |
| Record Nr. | UNINA-9910733708503321 |
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical Analysis and Numerical Methods : IACMC 2023, Zarqa, Jordan, May 10–12 / / edited by Aliaa Burqan, Rania Saadeh, Ahmad Qazza, Osama Yusuf Ababneh, Juan C. Cortés, Kai Diethelm, Dia Zeidan
| Mathematical Analysis and Numerical Methods : IACMC 2023, Zarqa, Jordan, May 10–12 / / edited by Aliaa Burqan, Rania Saadeh, Ahmad Qazza, Osama Yusuf Ababneh, Juan C. Cortés, Kai Diethelm, Dia Zeidan |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (594 pages) |
| Disciplina | 004.0151 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Differential equations
Computer science - Mathematics Mathematical statistics Probabilities Graph theory Approximation theory Mathematics - Data processing Differential Equations Probability and Statistics in Computer Science Graph Theory in Probability Approximations and Expansions Computational Mathematics and Numerical Analysis Informàtica Matemàtica Probabilitats |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN |
9789819748761
9819748763 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | R. Elsousy, Abdel-Salam G. Abdel-Salam, Continuous versus Categorical Imputation Method for Unobserved Count with Zero-Inflation -- F. Alsaafin, A. Burqan, Matrix Inequalities for the Difference between Arithmetic and Heinz Means -- Mohammad A. Amleh, Prediction of Future Order Statistics for Step-Stress Model with Frechet Distribution -- Edward L. Boone, R. Ghanam, Optimal Sampling Locations for Fractional Partial Differential Equations Using D-Optimality -- A. Alsoboh, A. Amourah, M. Darus, A. Alahmade, q-Neighborhoods and Partial Sums for Certain Subclasses of Analytic Functions with Negative Coefficients -- M. Shahwan, Lie Algebraic Method for Generating Certain Harmonic Oscillator-like Functions -- Mustafa I. Alheety, M. Qasim, K. Månsson, B. M. Golam Kibria, On Some Weighted Mixed Ridge Regression Estimators: Theory, Simulation and Application -- N. S. Mohammed, Emad A. Kuffi, Dhamyaa H. Al-Nuaimi, Utilize the Complex Sadik Transform to Solution Volterra Integro-Differential Equations of Second Type -- Majd Al-Zoubaidi, Amjad D. Al-Nasser, Entropy-Based Weighted Exponential Regression -- S. Al-Hijjawi, S. Alkhazaleh, Time Effective Fuzzy Soft Set -- Gharib M. Gharib, Maha S. Alsauodi, Rania Saadeh, Worood A. AL-hakim, Bara’a A. Abujarad, Using Medfield Atomic Solution Method to Solve Nonhomogeneous Fractional Partial Differential Equations -- Fuad A. Abushaheen, A Separation Axiom via a New Type of Function in Hereditary bi m-Spaces -- V. Edemskiy, S. Garbar, Large Family of Quaternary Sequences with High Linear Complexity and Period PNQM -- Abed Al-Hakim Majdalawi, Amjad D. Al-Nasser, Fitting Regression Models when Both Variables are Subject to Non-Normal Error Terms -- Ala’a Al-Kateeb, H. Hong, E. Lee, Structure of Cyclotomic Polynomials and Several Applications -- S. Ali Jafar Zaidi, Z. Shoukat, S. Brahim Belhaouri, K. Kassoul, IOT based Face Recognition and Surveillance System using Smart Phones -- H. Hussein, A. Islamand, S. B. Belhaouari, Stress Detection using Novel Time-Frequency Decomposition: Progressive Fourier Transform -- R. Saadeh, M. Mustafa, A. Burqan, Solving Partial Integro-Differential Equations via Double ARA-Formable Transform -- R. Saadeh, L. Hammdi, Ahmad Qazza, Solving Partial Integro-Differential Equations via Double Laplace-Formable Transform -- K. Kassou, S. B. Belhaouari, N. Cheikhrouhou, Particle Swarm Optimization-Based Variables Decomposition Method for Global Optimization -- M. Berir, M. Abdoon, A. Qazza, R. Saadeh, F. El Guma, A Co-oparative Numerical Study of a Classical Model and Fractional Model for Leishmaniasis -- M. M. Shuaib, Modeling Risk and Precautionary Time Factors and Investigating Their Impact on Route Selection Behavior Under Fire Emergency -- A. Alsoboh, A. Amourah, B. Alamri, and M. S. Alatawi, G. Gharib, A Certain Subclass of Analytic Functions Related to q-Calculus and their Second Hankel Determinant -- K. Kassou, S. B. Belhaouari, N. Cheikhrouhou, Particle Swarm Optimization-Based Variables Decomposition Method for Global Optimization -- A. Alsoboh, A. Amourah, M. S. Alatawi, G. Gharib, M. Shatnawi, Exploration of New Classes of bi-Univalent Functions Defined by the Subordination Principle using q-Gegenbauer Polynomials -- M. Rasool, Samir Brahim Belhaouari, Hamza Baali, Image Encryption: An Exploration of Collatz Conjecture to Strengthen Data Security -- B. Abughazaleh, M. Alamleh, A. Al-Natoor, R. Saadeh, Double Mellin-ARA Transform -- O. Al-Refai, Estimating Coefficient Bounds for Classes of bi-Univalent Functions Defined by Fractional Derivatives -- A. AbuSnainah, A. Burqan, W. Audeh, Novel Bounds for Generalized of Logarithmic and Identric Means -- A. Qazza, Efficient Construction Technique for Resolving Dirichlet Boundary-Value Problems in Multiply Connected Domains for Real Elliptic Equations -- S. AlZubai, A. D. Al-Nasser, Fitting Big Data using Structural Measurement Error Model -- S. Alshorm, I. M. Batiha, J. Oudetallah, Stochastic Population Growth Model using Three-Point Fractional Formula -- T. Eriqat, Moa’ath N. Oqielat, A. El-Ajou, O. Ogilat, S. Momani, Approximate Solutions of the Fractional Zakharov–Kuznetsov Equation using Laplace–Residual Power Series Method -- A. Fareed, S. Hassan, S. Brahim, Reducing Data Sparsity in Movie Recommendation System -- J. Jawdat, Hybrid Nanofluids with Fractional Chaotic Convection -- A. Burqan, Baha’aldeen Alnaddaf, Cristian Conde, Ahmad Al-Natoor, New Refinements of Generalized Numerical Radius Inequalities -- R. Saadeh, B. Ghazal, S. Mashagbeh, Using Double Formable Transform to Solve Fractional Partial Differential -- R. Saadeh, B. Ghazal, Ahmad Qazza, General Transform Decomposition Method -- I. M. Batiha, S. Alshorm, M. Almuzini, Solving Fractional Order Monkeypox Model by New Numerical Methods -- W. A. Almse’adeen, Feras M. Al Faqih, Mohammed Z. Swalmeh, Magnetohydrodynamics Boundary Layer Analysis of Free Convection Flow in the Presence of Casson Ternary Hybrid Nanofluid over a Stretching Sheet -- O. Ramadan, A. Burqan, Refinements of Reverse Young Inequality for Scalars and Matrices -- W. Audeh, A. Boustanji, M. Al-Labadi, Singular Value Inequalities for Increasing Convex Functions of Matrices -- M. Abduljabar Al-Hasawi, Methods of Obtaining the Ridge Parameter K in Multiple Linear Regression Analysis -- Z. Oflaz, S. Brahim Belhaouari, Coupled Hidden Markov Model with Binomial and Truncated Geometric Copula to Investigate Hypertension and Diabetes Multimorbidity Progression -- I. Jebril, S. Alshorm, I. M. Batiha, Numerical Solution for Fractional-Order Glioblastoma. |
| Record Nr. | UNINA-9910896191403321 |
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical Modelling and Computational Intelligence Techniques : ICMMCIT-2021, Gandhigram, India February 10–12 / / edited by P. Balasubramaniam, Kuru Ratnavelu, Grienggrai Rajchakit, G. Nagamani
| Mathematical Modelling and Computational Intelligence Techniques : ICMMCIT-2021, Gandhigram, India February 10–12 / / edited by P. Balasubramaniam, Kuru Ratnavelu, Grienggrai Rajchakit, G. Nagamani |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021 |
| Descrizione fisica | 1 online resource (349 pages) |
| Disciplina | 511.8 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Neural networks (Computer science)
Mathematical models Automatic control Coding theory Information theory Probabilities Graph theory Differential equations Mathematical Models of Cognitive Processes and Neural Networks Mathematical Modeling and Industrial Mathematics Control and Systems Theory Coding and Information Theory Graph Theory in Probability Differential Equations |
| ISBN | 981-16-6018-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Ananya Dwivedi Vinod Baniya and Ram Keval: Application of Optimal Controls on Dengue Dynamics: A Mathematical Study -- Sandeep Sharma, Amit Sharma, and Fateh Singh: Did the COVID-19 Lockdown in India Succeed? A Mathematical Study -- Bhavyata Patel, Rhydham Karnik, and Dhanesh Patel: Tumour Growth and its Treatment Response Delineate with Mathematical Models -- Kuru Ratnavelu, Jia Hou Chin: A Computational Approach to the Three-body Coulomb Problem: Positron Scattering from Atomic Systems -- M. Sankara Narayanan and M. Marudai: Common Best Proximity Points for Some Contractive Type Mappings -- P. Kowsalya, R. Kaviya and P. Muthukumar: Dynamical Analysis of Conformable Fractional-Order Rosenzweig–MacArthur Prey–Predator System -- P. Balasubramaniam: Existence of Solution for a Class of ABC Fractional Evolution Inclusions with Non-Instantaneous Impulses -- Yeh Ching Low and Seng Huat ONG: Computation of Probabilities of Mixed Poisson Weibull Distribution -- Md Mustafa Kamal and Imtiaz Ashraf: Cost of Energy for Distributed Energy Resources based Power Generation in a Rural Microgrid: Impact of Controlling Parameters -- S.T. Padmapriya, T. Kalaiselvi and K. Somasundaram: Adaptive Learning Rate Based Convolutional Neural Network Models For Brain Tumor Images Classification -- S. Praveenkumar, K. Somasundaram, T. Kalaiselvi and S. Magesh: Extended Discrete Cosine Transform -- Mohd Fikree Hassan and Raveendran Paramesran: Image Reconstruction from Geometric Moments via Cascaded Digital Filters -- Dhamodharan S. and Shanmugavadivu Pichai: Background Preserved and Feature-Oriented Contrast Improvement Using Weighted Cumulative Distribution Function for Digital Mammograms -- N. Padmaja1 and P. Balasubramaniam: Finite-time Passification of Fractional-order Recurrent Neural Networks with Proportional Delay and Impulses: An LMI Approach -- J. Priyadharsini1 and P. Balasubramaniam: Stability Result for Hilfer Fractional Integrodifferential Stochastic Equations with Fractional Noises and Non-instantaneous Impulses -- B. Visakamoorthi and P. Muthukumar: Fuzzy Sampled-data Control for Single-master Multi-slave Teleoperation Systems with Stochastic Actuator Faults -- B. Adhira and G. Nagamani: Extended Dissipativity Performance for the Delayed Discrete-time Neural Networks with Observer-Based Control -- M. Shafiya and G. Nagamani: Synchronization of Delayed Fractional-order Memristive BAM Neural Networks -- V. Aparna and N. Mohanapriya: r-Dynamic Chromatic Number of Extended Neighborhood Corona of Complete Graph with Some Graphs -- G. Mahadevan, M. Vimala Suganthi and C. Sivagnanam: Corona Domination Number of Graphs -- Immanuel John Raja Jebadurai, Getzi Jeba Leelipushpam Paulraj, Jebaveerasingh Jebadurai and Nancy Emymal Samuel: An AHP Based Unmanned Aerial Vehicle Selection for Data Collection in Wireless Sensor Networks -- R. Pavithra and R. Rajkumar: On the Characteristic Polynomial of the Subdivision-vertex Join of Graphs -- G. Gold Belsi and S. Kavitha: Genus and Book Thicknessof the Inclusion Ideal Graph of a Ring -- S. Angammal and G. Hannah Grace : A Comparison Between Fuzzy and Intuitionistic Fuzzy Optimization Technique for Profit and Production of Crops in Ariyalur District -- M. Priya and R. Uthayakumar: A Study on HB Theory in Product Intuitionistic Fuzzy Fractal Space -- S. Ganesan and R. Uthayakumar: An EOQ Inventory Model with Shortage Backorders and Incorporating a Learning Function in Fuzzy Parameters. |
| Record Nr. | UNINA-9910520089003321 |
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Peeling Random Planar Maps : École d’Été de Probabilités de Saint-Flour XLIX – 2019 / / by Nicolas Curien
| Peeling Random Planar Maps : École d’Été de Probabilités de Saint-Flour XLIX – 2019 / / by Nicolas Curien |
| Autore | Curien Nicolas |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (293 pages) |
| Disciplina | 519.2 |
| Collana | École d'Été de Probabilités de Saint-Flour |
| Soggetto topico |
Probabilities
Graph theory Geometry Stochastic processes Graph Theory in Probability Probability Theory Stochastic Processes Processos estocàstics Probabilitats Teoria de grafs Geometria |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-36854-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Introduction -- These Lecture Notes (Do Not) Contain -- Contents -- Part I (Planar) Maps -- 1 Discrete Random Surfaces in High Genus -- 1.1 What Is a Map? Different Points of View -- 1.1.1 Gluing of Polygons and a First Exploration -- Genus -- 1.1.2 Other Definitions of Maps -- Via Permutations -- Embedded Graphs -- 1.1.3 Duality -- 1.2 Geometry and Topology of Uniform Maps -- 1.2.1 Enumeration ``à la Tutte'' -- 1.2.2 Uniform Maps Are Almost Uniform Permutations -- Geometric and Topological Properties of a Uniform Map -- 1.3 Exploring Random Maps with Prescribed Faces and a Conjecture -- 1.3.1 Random Gluing of Prescribed Polygons -- 1.3.2 Peeling Explorations of MP -- 1.3.3 Examples of Peeling Explorations -- Conclusion: Impose Topological Constraints! -- 2 Why Are Planar Maps Exceptional? -- 2.1 Finite and Infinite Planar Maps -- 2.1.1 Finite Planar Maps -- 2.1.2 Local Topology and Infinite Maps -- 2.1.3 Infinite Maps of the Plane and the Half-Plane -- 2.2 Euler's Formula and Applications -- 2.2.1 k-Angulations and Bipartite Maps -- 2.2.2 Platonic Solids -- 2.2.3 Fàry Theorem -- 2.2.4 6-5-4 Color Theorem -- 2.2.5 Moser's circle -- 2.3 Faithful Representations of Planar Maps -- 2.3.1 Tutte's Barycentric Embedding -- 2.3.2 Circle Packing -- 3 The Miraculous Enumeration of Bipartite Maps -- 3.1 Maps with a Boundary and a Target -- 3.1.1 Maps with a Boundary -- 3.1.2 Maps with a Target -- 3.2 Counting Planar Maps and Tutte's Equation -- 3.2.1 The Case of Quadrangulations -- 3.2.2 Boltzmann Maps and Tutte Slicing Formula -- 3.3 Formulas for Disk Partition Functions -- 3.3.1 Boltzmann Measure -- 3.3.2 Admissibility -- 3.4 Getting Our Hands on W() -- 3.4.1 Towards an Expression for W() -- 3.4.2 Back to the Admissibility Criterion -- 3.5 Examples -- 3.5.1 2p-Angulations -- 3.5.2 Uniform Bipartite Maps -- 3.5.3 Triangulations.
3.5.4 Canonical Stable Maps -- Part II Peeling Explorations -- 4 Peeling of Finite Boltzmann Maps -- 4.1 Peeling Processes -- 4.1.1 Gluing Maps with a Boundary -- 4.1.2 Peeling Process -- 4.1.3 Peeling Process with a Target and Filled-in Explorations -- 4.2 Law of the Peeling Under the Boltzmann Measures -- 4.2.1 q-Boltzmann Maps -- 4.2.2 q-Boltzmann Maps Without Target -- 4.2.3 q-Boltzmann Maps with Target -- 4.3 Simple Submaps and Simple Peeling Explorations -- 4.3.1 Maps with Simple Boundary -- 4.3.2 Simple Submaps -- 4.3.3 Simple Peeling Exploration -- 4.3.4 Law of the Simple Peeling Under the Boltzmann Measure -- 5 Classification of Weight Sequences -- 5.1 The ν-Random Walk -- 5.1.1 The Step Distribution ν -- 5.1.2 Probabilistic Interpretation of the h↓p-Transformation -- 5.2 Critical Weight Sequences -- 5.2.1 Equivalent Definitions of Criticality -- 5.2.2 h↑-Transform -- 5.3 Discrete Stable Weight Sequences -- 5.3.1 Subcritical Case: a= 32 -- 5.3.2 Critical Generic Case: a= 52 -- 5.3.3 Critical Non-generic: a (3/2 -- 5/2) -- 5.3.4 Examples -- Part III Infinite Boltzmann Maps -- 6 Infinite Boltzmann Maps of the Half-Plane -- 6.1 The Half-Planar Boltzmann Map -- 6.1.1 Characterizing P(∞) -- 6.1.2 Peeling Process Under P(∞) -- 6.1.3 Constructing P(∞) -- 6.1.4 P(∞) as the Weak Limit of P() as ∞ -- 6.2 Basic Properties -- 6.2.1 Translation Invariance and Ergodicity -- 6.2.2 Cut-Edges and Cut-Points -- 7 Infinite Boltzmann Maps of the Plane -- 7.1 Infinite Boltzmann Maps of the Plane -- 7.1.1 Characterizing P()∞ -- 7.1.2 Peeling Process Under P()∞ -- 7.1.3 Constructing P()∞ -- 7.1.4 P()∞ as the Limit of Maps Conditioned to be Large -- 7.2 Basic Properties -- 7.2.1 Stationarity and Reversibility -- 7.2.2 Ergodicity -- 8 Hyperbolic Random Maps -- 8.1 Constructions -- 8.2 Basic Properties -- 8.2.1 Stationarity, Reversibility and Ergodicity. 8.2.2 Anchored Expansion -- 9 Simple Boundary, Yet a Bit More Complicated -- 9.1 Enumeration of Maps with a Simple Boundary -- 9.1.1 The Core Decomposition -- 9.1.2 Free Boltzmann Map and Exploration of the Core -- 9.2 Infinite ∂-Simple Boltzmann Maps of the Half-Plane -- 9.2.1 Defining M̃(∞) and (∞) -- 9.2.2 Simple Peeling Exploration of (∞) -- 9.2.3 (∞) as the Weak Limit of () -- 9.3 Basic Properties -- 10 Scaling Limit for the Peeling Process -- 10.1 Invariance Principles for the Perimeter Process -- 10.1.1 The Case of the ν-Walk S -- 10.1.2 The Cases of S↑ and S↓ -- 10.2 Scaling Limit for the Volume Process -- 10.2.1 Stable Limit for the Volume of Boltzmann Maps -- 10.2.2 Functional Scaling Limit for the Volume and Perimeter Processes -- 10.2.3 Law of ``Iterated'' Logarithm -- 10.3 Scaling Limits in the Hyperbolic Regime -- 10.4 Markovian Explorations Are Always Roundish -- Part IV Percolation(s) -- 11 Percolation Thresholds in the Half-Plane -- 11.1 Prerequisites -- 11.1.1 Randomized Peeling Process -- 11.1.2 Mean Gulp and Exposure -- 11.2 Face Percolation -- 11.2.1 Annealed Threshold and Exploration of Face Percolation -- 11.2.2 Proof of Theorem 11.3 -- 11.2.3 Dual Exploration -- 11.2.4 Degree Percolation -- 11.3 Bond Percolation -- 11.3.1 A Heuristic Before the Proof: Adding Faces of Degree 2 -- 11.3.2 The True Proof: Adding Crosses! -- 11.4 Site Percolation and the Simple Peeling -- 11.4.1 Back to Bond and Face Percolations -- 11.4.2 Site Percolation -- 12 More on Bond Percolation -- 12.1 Critical Exponents in the Half-Plane -- 12.1.1 Length of Exploration -- 12.1.2 More Open Questions -- 12.2 A Boltzmann Approach to Bond Percolation -- 12.2.1 Duality of Stable Maps Via Percolation -- 12.2.2 Critical Exponents and Open Questions -- 12.3 Percolations on M∞ -- 12.3.1 Do Plane and Half-Plane Bond Percolation Thresholds Coincide?. 12.3.2 Open Questions -- 12.4 Percolation on Hyperbolic Random Maps -- 12.4.1 Critical and Uniqueness Thresholds -- 12.4.2 Open Questions -- Part V Geometry -- 13 Metric Growths -- 13.1 Eden Model: Exponential FPP Distances on the Dual -- 13.1.1 Definition of the Eden Distance -- 13.1.2 Uniform Peeling -- 13.1.3 Fpp Growth on M∞ -- 13.1.4 Fpp Growth on H∞ -- 13.2 Dual Graph Distances -- 13.2.1 Exploration of Dual Metric -- 13.2.2 Growth of the Dual Metric in M∞ -- 13.2.3 Growth of the Dual Metric on H∞ -- 13.2.4 Cut-Points in the Dense Phase -- 13.3 Primal Graph Distances -- 13.3.1 Triangulations -- 13.3.2 Quadrangulations -- 13.3.3 General Case -- 13.4 … and for the Half-Plane ? -- 14 A Taste of Scaling Limit -- 14.1 Gromov-Hausdorff Topology -- 14.1.1 Space of Metric Spaces -- 14.1.2 Gromov-Hausdorff Topology -- 14.1.3 Properties -- 14.2 Scaling Limits for Large Boltzmann Maps -- 14.2.1 The Brownian Sphere -- 14.2.2 The Stable Maps -- 14.3 Scaling Limit for Dual Maps and Growth-Fragmentation Trees -- 14.3.1 Genealogy on Holes -- 14.3.2 Slicing at Heights -- Part VI Simple Random Walk -- 15 Recurrence, Transience, Liouville and Speed -- 15.1 M∞ Is Recurrent -- 15.1.1 Discrete Uniformization of Infinite Planar Graphs -- 15.1.2 Benjamini-Schramm Limits -- 15.2 Simple Random Walk on M∞ -- 15.2.1 Transience of M∞ in the Dense Case -- 15.2.2 Intersection and Recurrence -- 15.3 Hyperbolic Maps and Positive Speed -- 15.3.1 Anchored Expansion, Speed and Stationarity -- 16 Subdiffusivity and Pioneer Points -- 16.1 Pioneer Points and Subdiffusivity -- 16.1.1 Pioneer Points -- 16.1.2 Primal Distances -- 16.1.3 About Tentacles -- 16.2 Subdiffusivity via Stationarity -- 16.2.1 Subdiffusivity from Diffusivity on a Sparse Subgraph -- 16.2.2 Heuristic for G_R -- A Elements of Fluctuation Theory -- A.1 Oscillations, Duality -- A.2 Cyclic Lemma and Applications. A.2.1 Feller's Cyclic Lemma -- A.2.2 Applications -- Skip-Free Walks -- Plane Trees -- A.3 Random Walks Conditioned to Stay Positive -- A.3.1 h-Transform of Markov Chains -- A.3.2 Renewal Function -- A.3.3 Oscillating Case and Limit of Large Conditionings -- A.3.4 Tanaka's Construction -- A.3.5 Drift to -∞ and Cramér's Condition -- A.4 Ratio and Local Limit Theorem -- A.4.1 Strong Ratio Limit Theorem -- A.4.2 Local Limit Theorem -- B Coding of Bipartite Maps with Labeled Trees -- B.1 Bouttier-Di Francesco-Guitter Coding of Bipartite Maps -- B.1.1 From Maps to Trees -- B.1.2 From Trees to Maps -- B.2 Distribution of the Forest of Mobiles -- B.2.1 Janson and Stefansson's Trick -- B.2.2 Law of the Unlabeled Forest -- B.3 Back to the Enumeration Results -- B.3.1 Back to the Admissibility Criterion -- B.3.2 Interpretation of the Law J and Back to Criticality -- Bibliography. |
| Record Nr. | UNISA-996565864503316 |
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Curien Nicolas
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Peeling Random Planar Maps : École d’Été de Probabilités de Saint-Flour XLIX – 2019 / / by Nicolas Curien
| Peeling Random Planar Maps : École d’Été de Probabilités de Saint-Flour XLIX – 2019 / / by Nicolas Curien |
| Autore | Curien Nicolas |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (293 pages) |
| Disciplina | 519.2 |
| Collana | École d'Été de Probabilités de Saint-Flour |
| Soggetto topico |
Probabilities
Graph theory Geometry Stochastic processes Graph Theory in Probability Probability Theory Stochastic Processes |
| ISBN |
9783031368547
3031368541 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Introduction -- These Lecture Notes (Do Not) Contain -- Contents -- Part I (Planar) Maps -- 1 Discrete Random Surfaces in High Genus -- 1.1 What Is a Map? Different Points of View -- 1.1.1 Gluing of Polygons and a First Exploration -- Genus -- 1.1.2 Other Definitions of Maps -- Via Permutations -- Embedded Graphs -- 1.1.3 Duality -- 1.2 Geometry and Topology of Uniform Maps -- 1.2.1 Enumeration ``à la Tutte'' -- 1.2.2 Uniform Maps Are Almost Uniform Permutations -- Geometric and Topological Properties of a Uniform Map -- 1.3 Exploring Random Maps with Prescribed Faces and a Conjecture -- 1.3.1 Random Gluing of Prescribed Polygons -- 1.3.2 Peeling Explorations of MP -- 1.3.3 Examples of Peeling Explorations -- Conclusion: Impose Topological Constraints! -- 2 Why Are Planar Maps Exceptional? -- 2.1 Finite and Infinite Planar Maps -- 2.1.1 Finite Planar Maps -- 2.1.2 Local Topology and Infinite Maps -- 2.1.3 Infinite Maps of the Plane and the Half-Plane -- 2.2 Euler's Formula and Applications -- 2.2.1 k-Angulations and Bipartite Maps -- 2.2.2 Platonic Solids -- 2.2.3 Fàry Theorem -- 2.2.4 6-5-4 Color Theorem -- 2.2.5 Moser's circle -- 2.3 Faithful Representations of Planar Maps -- 2.3.1 Tutte's Barycentric Embedding -- 2.3.2 Circle Packing -- 3 The Miraculous Enumeration of Bipartite Maps -- 3.1 Maps with a Boundary and a Target -- 3.1.1 Maps with a Boundary -- 3.1.2 Maps with a Target -- 3.2 Counting Planar Maps and Tutte's Equation -- 3.2.1 The Case of Quadrangulations -- 3.2.2 Boltzmann Maps and Tutte Slicing Formula -- 3.3 Formulas for Disk Partition Functions -- 3.3.1 Boltzmann Measure -- 3.3.2 Admissibility -- 3.4 Getting Our Hands on W() -- 3.4.1 Towards an Expression for W() -- 3.4.2 Back to the Admissibility Criterion -- 3.5 Examples -- 3.5.1 2p-Angulations -- 3.5.2 Uniform Bipartite Maps -- 3.5.3 Triangulations.
3.5.4 Canonical Stable Maps -- Part II Peeling Explorations -- 4 Peeling of Finite Boltzmann Maps -- 4.1 Peeling Processes -- 4.1.1 Gluing Maps with a Boundary -- 4.1.2 Peeling Process -- 4.1.3 Peeling Process with a Target and Filled-in Explorations -- 4.2 Law of the Peeling Under the Boltzmann Measures -- 4.2.1 q-Boltzmann Maps -- 4.2.2 q-Boltzmann Maps Without Target -- 4.2.3 q-Boltzmann Maps with Target -- 4.3 Simple Submaps and Simple Peeling Explorations -- 4.3.1 Maps with Simple Boundary -- 4.3.2 Simple Submaps -- 4.3.3 Simple Peeling Exploration -- 4.3.4 Law of the Simple Peeling Under the Boltzmann Measure -- 5 Classification of Weight Sequences -- 5.1 The ν-Random Walk -- 5.1.1 The Step Distribution ν -- 5.1.2 Probabilistic Interpretation of the h↓p-Transformation -- 5.2 Critical Weight Sequences -- 5.2.1 Equivalent Definitions of Criticality -- 5.2.2 h↑-Transform -- 5.3 Discrete Stable Weight Sequences -- 5.3.1 Subcritical Case: a= 32 -- 5.3.2 Critical Generic Case: a= 52 -- 5.3.3 Critical Non-generic: a (3/2 -- 5/2) -- 5.3.4 Examples -- Part III Infinite Boltzmann Maps -- 6 Infinite Boltzmann Maps of the Half-Plane -- 6.1 The Half-Planar Boltzmann Map -- 6.1.1 Characterizing P(∞) -- 6.1.2 Peeling Process Under P(∞) -- 6.1.3 Constructing P(∞) -- 6.1.4 P(∞) as the Weak Limit of P() as ∞ -- 6.2 Basic Properties -- 6.2.1 Translation Invariance and Ergodicity -- 6.2.2 Cut-Edges and Cut-Points -- 7 Infinite Boltzmann Maps of the Plane -- 7.1 Infinite Boltzmann Maps of the Plane -- 7.1.1 Characterizing P()∞ -- 7.1.2 Peeling Process Under P()∞ -- 7.1.3 Constructing P()∞ -- 7.1.4 P()∞ as the Limit of Maps Conditioned to be Large -- 7.2 Basic Properties -- 7.2.1 Stationarity and Reversibility -- 7.2.2 Ergodicity -- 8 Hyperbolic Random Maps -- 8.1 Constructions -- 8.2 Basic Properties -- 8.2.1 Stationarity, Reversibility and Ergodicity. 8.2.2 Anchored Expansion -- 9 Simple Boundary, Yet a Bit More Complicated -- 9.1 Enumeration of Maps with a Simple Boundary -- 9.1.1 The Core Decomposition -- 9.1.2 Free Boltzmann Map and Exploration of the Core -- 9.2 Infinite ∂-Simple Boltzmann Maps of the Half-Plane -- 9.2.1 Defining M̃(∞) and (∞) -- 9.2.2 Simple Peeling Exploration of (∞) -- 9.2.3 (∞) as the Weak Limit of () -- 9.3 Basic Properties -- 10 Scaling Limit for the Peeling Process -- 10.1 Invariance Principles for the Perimeter Process -- 10.1.1 The Case of the ν-Walk S -- 10.1.2 The Cases of S↑ and S↓ -- 10.2 Scaling Limit for the Volume Process -- 10.2.1 Stable Limit for the Volume of Boltzmann Maps -- 10.2.2 Functional Scaling Limit for the Volume and Perimeter Processes -- 10.2.3 Law of ``Iterated'' Logarithm -- 10.3 Scaling Limits in the Hyperbolic Regime -- 10.4 Markovian Explorations Are Always Roundish -- Part IV Percolation(s) -- 11 Percolation Thresholds in the Half-Plane -- 11.1 Prerequisites -- 11.1.1 Randomized Peeling Process -- 11.1.2 Mean Gulp and Exposure -- 11.2 Face Percolation -- 11.2.1 Annealed Threshold and Exploration of Face Percolation -- 11.2.2 Proof of Theorem 11.3 -- 11.2.3 Dual Exploration -- 11.2.4 Degree Percolation -- 11.3 Bond Percolation -- 11.3.1 A Heuristic Before the Proof: Adding Faces of Degree 2 -- 11.3.2 The True Proof: Adding Crosses! -- 11.4 Site Percolation and the Simple Peeling -- 11.4.1 Back to Bond and Face Percolations -- 11.4.2 Site Percolation -- 12 More on Bond Percolation -- 12.1 Critical Exponents in the Half-Plane -- 12.1.1 Length of Exploration -- 12.1.2 More Open Questions -- 12.2 A Boltzmann Approach to Bond Percolation -- 12.2.1 Duality of Stable Maps Via Percolation -- 12.2.2 Critical Exponents and Open Questions -- 12.3 Percolations on M∞ -- 12.3.1 Do Plane and Half-Plane Bond Percolation Thresholds Coincide?. 12.3.2 Open Questions -- 12.4 Percolation on Hyperbolic Random Maps -- 12.4.1 Critical and Uniqueness Thresholds -- 12.4.2 Open Questions -- Part V Geometry -- 13 Metric Growths -- 13.1 Eden Model: Exponential FPP Distances on the Dual -- 13.1.1 Definition of the Eden Distance -- 13.1.2 Uniform Peeling -- 13.1.3 Fpp Growth on M∞ -- 13.1.4 Fpp Growth on H∞ -- 13.2 Dual Graph Distances -- 13.2.1 Exploration of Dual Metric -- 13.2.2 Growth of the Dual Metric in M∞ -- 13.2.3 Growth of the Dual Metric on H∞ -- 13.2.4 Cut-Points in the Dense Phase -- 13.3 Primal Graph Distances -- 13.3.1 Triangulations -- 13.3.2 Quadrangulations -- 13.3.3 General Case -- 13.4 … and for the Half-Plane ? -- 14 A Taste of Scaling Limit -- 14.1 Gromov-Hausdorff Topology -- 14.1.1 Space of Metric Spaces -- 14.1.2 Gromov-Hausdorff Topology -- 14.1.3 Properties -- 14.2 Scaling Limits for Large Boltzmann Maps -- 14.2.1 The Brownian Sphere -- 14.2.2 The Stable Maps -- 14.3 Scaling Limit for Dual Maps and Growth-Fragmentation Trees -- 14.3.1 Genealogy on Holes -- 14.3.2 Slicing at Heights -- Part VI Simple Random Walk -- 15 Recurrence, Transience, Liouville and Speed -- 15.1 M∞ Is Recurrent -- 15.1.1 Discrete Uniformization of Infinite Planar Graphs -- 15.1.2 Benjamini-Schramm Limits -- 15.2 Simple Random Walk on M∞ -- 15.2.1 Transience of M∞ in the Dense Case -- 15.2.2 Intersection and Recurrence -- 15.3 Hyperbolic Maps and Positive Speed -- 15.3.1 Anchored Expansion, Speed and Stationarity -- 16 Subdiffusivity and Pioneer Points -- 16.1 Pioneer Points and Subdiffusivity -- 16.1.1 Pioneer Points -- 16.1.2 Primal Distances -- 16.1.3 About Tentacles -- 16.2 Subdiffusivity via Stationarity -- 16.2.1 Subdiffusivity from Diffusivity on a Sparse Subgraph -- 16.2.2 Heuristic for G_R -- A Elements of Fluctuation Theory -- A.1 Oscillations, Duality -- A.2 Cyclic Lemma and Applications. A.2.1 Feller's Cyclic Lemma -- A.2.2 Applications -- Skip-Free Walks -- Plane Trees -- A.3 Random Walks Conditioned to Stay Positive -- A.3.1 h-Transform of Markov Chains -- A.3.2 Renewal Function -- A.3.3 Oscillating Case and Limit of Large Conditionings -- A.3.4 Tanaka's Construction -- A.3.5 Drift to -∞ and Cramér's Condition -- A.4 Ratio and Local Limit Theorem -- A.4.1 Strong Ratio Limit Theorem -- A.4.2 Local Limit Theorem -- B Coding of Bipartite Maps with Labeled Trees -- B.1 Bouttier-Di Francesco-Guitter Coding of Bipartite Maps -- B.1.1 From Maps to Trees -- B.1.2 From Trees to Maps -- B.2 Distribution of the Forest of Mobiles -- B.2.1 Janson and Stefansson's Trick -- B.2.2 Law of the Unlabeled Forest -- B.3 Back to the Enumeration Results -- B.3.1 Back to the Admissibility Criterion -- B.3.2 Interpretation of the Law J and Back to Criticality -- Bibliography. |
| Record Nr. | UNINA-9910765476803321 |
|
Curien Nicolas
|
||
| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topics in Combinatorics and Graph Theory / / by R. Rama
| Topics in Combinatorics and Graph Theory / / by R. Rama |
| Autore | Rama R |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (X, 454 p. 257 illus., 1 illus. in color.) |
| Disciplina | 511.5 |
| Collana | Mathematics and Statistics Series |
| Soggetto topico |
Graph theory
Discrete mathematics Probabilities Graph Theory Discrete Mathematics Probability Theory Graph Theory in Probability |
| ISBN | 3-031-74252-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basics of Counting -- Induction and Pigeon Hole Principle -- Binomial Theorem and Binomial Identities Partitions -- Permutations -- Combinations and Cycles -- Generating Functions -- Recurrence Relations -- Inclusion Exclusion Principle -- Partial Order and Lattices -- Polya’s Theory -- More on Counting -- Discrete Probability -- Basic Concepts -- Paths Connectedness -- Trees -- Connectivity -- Eulerian and Hamiltonian Graphs -- Planar Graphs -- Independent Sets -- Coverings and Matchings -- Graph Coloring -- Ramsey Numbers and Ramsey Graphs -- Spectral Properties of Graphs -- Directed Graphs and Graph Algorithms. |
| Record Nr. | UNINA-9911007455903321 |
|
Rama R
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||
| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Graph Theory in Probability
(11)
- Graph theory (11)
- Probabilities (11)
- Graph Theory (5)
- Probability Theory (4)