Dirichlet forms and related topics : in honor of Masatoshi Fukushima's Beiju, IWDFRT 2022, Osaka, Japan, August 22-26 / / Zhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura, editors

• Record Nr.: UNISA996490348503316
• Pubbl/distr/stampa: Singapore : , : Springer, , [2022]; ©2022
• ISBN: 981-19-4672-8
• Descrizione fisica: 1 online resource (572 pages)
• Collana: Springer proceedings in mathematics & statistics ; ; Volume 394
• Disciplina: 519.2
• Soggetti: Dirichlet forms; Formes (Matemàtica); Probabilitats; Homenatges; Congressos; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Intro -- Preface -- List of Masatoshi Fukushima's Publications -- Contents -- Markov Uniqueness and Fokker-Planck-Kolmogorov Equations -- 1 Introduction and Framework -- 2 The Main Idea and a Parabolic Condition for Uniqueness -- 3 Some Uniqueness Results for FPKEs -- 3.1 Fokker-Planck-Kolmogorov Equations -- 3.2 Nondegenerate VMO Diffusion Coefficients -- 3.3 Nondegenerate Locally Lipschitz Diffusion Coefficients -- 3.4 Nondegenerate Diffusion Coefficients and the Lyapunov Function Condition -- 3.5 Degenerate Diffusion Coefficients -- 4 Applications to the Markov Uniqueness Problem -- 4.1 The Framework -- 4.2 Nondegenerate VMO Diffusion Coefficients -- 4.3 Nondegenerate Locally Lipschitz Diffusion Coefficients -- 4.4 Nondegenerate Diffusion Coefficients and Lyapunov Function Conditions -- 4.5 Degenerate Diffusion Coefficients -- References -- A Chip-Firing and a Riemann-Roch Theorem on an Ultrametric Space -- 1 Introduction -- 2 Laplacian and Riemann-Roch Theorem on Ultrametric Space with Finite Vertices -- 3 Unification of ; Ultrametric Space with Finite Verteces -- 4 Riemann-Roch Theorem on Ultrametric Space with Countably Many Vertices -- References -- Hermitizable, Isospectral Matrices or Differential Operators -- 1 Hermitizable, Isospectral Matrices -- 2 Hermitizable, Isospectral Differential Operators -- References -- On Strongly Continuous Markovian Semigroups -- References -- Two-Sided Heat Kernel Estimates for Symmetric Diffusion Processes with Jumps: Recent Results -- 1 Introduction -- 2 Stability of Heat Kernel Estimates for Symmetric Diffusions with Jumps -- 2.1 Two-Sided Heat Kernel Estimates -- 2.2 Example -- 3 Symmetric Reflected Diffusions with Jumps in Inner Uniform Domains -- 3.1 Reflected Diffusions on Inner Uniform Domains -- 3.2 Reflected Diffusions with Jumps.; 3.3 Heat Kernel Estimates for the beta Subscript asterisk Baseline less than or equals beta Superscript asterisk Baseline less than or equals normal infinityβ*leβ* leinfty in StartSet 0 Subscript plus Baseline EndSet union left parenthesis 0 comma normal infinity right bracket{0+}(0, infty] Case -- 3.4 Discussion on Off-Diagonal Heat Kernel Upper Bound -- 3.5 Example -- References -- On Non-negative Solutions to Space-Time Partial Differential Equations of Higher Order -- 1 Introduction -- 2 An Abstract Problem -- 3 Some Translation Invariant Pseudo-differential Operators -- 4 Some Discussions on the Case upper N equals 2N=2 -- 5 Higher Order Partial Differential Equations Admitting Non-negative Solutions -- References -- Monotonicity Properties of Regenerative Sets and Lorden's Inequality -- 1 Introduction -- 2 Lorden's Inequality -- 3 Monotone Potential Density -- 4 Concluding Remarks -- References -- Doob Decomposition, Dirichlet Processes, and Entropies on Wiener Space -- 1 Introduction -- 2 Doob Decomposition in Continuous Time -- 3 Entropies and Couplings on Wiener Space -- References -- Analysis on Fractal Spaces and Heat Kernels -- 1 Introduction -- 2 Classical Heat Kernel -- 3 Examples of Fractals -- 4 Dirichlet Forms -- 5 Walk Dimension -- 6 Besov Spaces and Characterization of betaβ -- 7 Dichotomy of Self-similar Heat Kernels -- 8 Estimating Heat Kernels: Strongly Local Case -- 9 Estimating Heat Kernels: Jump Case -- 10 Ultra-metric Spaces -- References -- Silverstein Extension and Fukushima Extension -- 1 Introduction -- 2 Silverstein Extensions -- 3 Fukushima Extensions -- 4 Examples of Fukushima Extensions -- 5 Fukushima Subspaces -- 6 Example: Revisit -- References -- Singularity of Energy Measures on a Class of Inhomogeneous Sierpinski Gaskets -- 1 Introduction -- 2 Framework and Statement of Theorems -- 3 Preliminary Lemmas.; 4 Proof of the Main Results -- 5 Concluding Remarks -- References -- On upper L Superscript pLp Liouville Theorems for Dirichlet Forms -- 1 Introduction -- 2 Fukushima's Ergodic Theorem -- 3 Regular Dirichlet Forms and Harmonic Functions -- 3.1 Basic Notions and Intrinsic Metrics -- 3.2 Harmonic Functions -- 4 A Caccioppoli Inequality -- 5 Proof of Yau's and Karp's Theorem and Recurrence -- 5.1 Proof of Yau's and Karp's Theorem -- 5.2 Proof of the Growth Test for Recurrence -- References -- On Singularity of Energy Measures for Symmetric Diffusions with Full Off-Diagonal Heat Kernel Estimates II: Some Borderline Examples -- 1 Introduction -- 2 The Examples: Thin Scale Irregular Sierpiński Gaskets -- 3 Space-Time Scale Function upper Psi Subscript bold italic ll and fHKEfHKE left parenthesis upper Psi Subscript bold italic l Baseline right parenthesisfHKE(l) -- 4 Singularity of the Energy Measures -- 5 Realizing Arbitrarily Slow Decay Rates of upper Psi left parenthesis r right parenthesis divided by r squared(r)/r2 -- References -- Scattering Lengths for Additive Functionals and Their Semi-classical Asymptotics -- 1 Introduction -- 2 Scattering Length for Additive Functionals -- 3 Kac's Scattering Length Formula -- 4 Semi-; classical Asymptotics for Scattering Length -- References -- Equivalence of the Strong Feller Properties of Analytic Semigroups and Associated Resolvents -- 1 Introduction -- 2 Preliminaries -- 3 Equivalence of the Strong Feller Properties -- 4 Application to Markov Processes Associated with Lower Bounded Semi-Dirichlet Forms -- References -- Interactions Between Trees and Loops, and Their Representation in Fock Space -- 1 Framework and Definitions -- 2 Interaction Between Tree and Loops -- 3 Fock Spaces -- 4 Local Interaction in Supersymmetric Fock Space -- References -- Remarks on Quasi-regular Dirichlet Subspaces.; 1 Introduction -- 2 Quasi-regular Dirichlet Subspaces -- 3 Quasi-regular Dirichlet Subspaces of Concrete Dirichlet Forms -- 3.1 One-Dimensional Brownian Motion -- 3.2 Multi-dimensional Brownian Motion -- 4 Further Remarks -- References -- Power-Law Dynamic Arising from Machine Learning -- 1 Introduction -- 2 Background and Preliminaries on Power-Law Dynamic -- 2.1 Background in Machine Learning -- 2.2 Preliminaries on Power-Law Dynamic -- 3 Property of the Stationary Distribution -- 4 Existence and Uniqueness of the Stationary Distribution -- 5 First Exit Time: Asymptotic Order -- 6 First Exit Time: From Continuous to Discrete -- References -- Hölder Estimates for Resolvents of Time-Changed Brownian Motions -- 1 Introduction -- 2 Main Results -- 3 Preliminary Lemmas -- 4 Proof of Theorem 1 -- References -- On the Continuity of Half-Plane Capacity with Respect to Carathéodory Convergence -- 1 Introduction -- 2 Study on the Upper Half-Plane -- 2.1 Basic Definitions and Proof of Theorem1 -- 2.2 Strict Monotonicity -- 3 Study on Parallel Slit Half-Planes -- 3.1 BMD Half-Plane Capacity -- 3.2 Markov Chains Induced by BMD -- 3.3 Uniform Regularity of Slit Domains -- 4 Relation to Geometric Function Theory -- 4.1 Half-Plane Capacity and Angular Residue at Infinity -- 4.2 Carathéodory Convergence and Locally Uniform Convergence -- References -- Dyson's Model in Infinite Dimensions Is Irreducible -- 1 Introduction -- 2 The MathID170 m-Labeled Process and the Lyons-Zheng Decomposition -- 3 Proof of Theorems 2 and 3 -- 4 Proof of Theorem 1 -- References -- (Weak) Hardy and Poincaré Inequalities and Criticality Theory -- 1 Introduction -- 2 Preliminaries -- 2.1 Closed Quadratic Forms on upper L squared left parenthesis upper X comma mu right parenthesisL2(X,µ) and upper L Superscript 0 Baseline left parenthesis upper X comma mu right parenthesisL0(X,µ).; 2.2 Extensions of Positivity Preserving Operators -- 3 The Beurling-Deny Criteria, Excessive Functions and Extended Forms -- 3.1 Basics and Excessive Functions -- 3.2 The Extensions q Subscript eqe and q Superscript plusq+ -- 3.3 Invariant Sets and Irreducibilty -- 4 (Very) Weak and Abstract Poincaré and Hardy inequalities -- 5 From Weak Hardy Inequalities to Hardy Inequalities-Subcriticality -- 6 Weak Poincaré Inequalities and Completeness of Extended form Domains -- References -- Maximal Displacement of Branching Symmetric Stable Processes -- 1 Introduction -- 2 Symmetric Stable Processes -- 2.1 Resolvent Asymptotics -- 2.2 Spectral Properties of Schrödinger Type Operators with the Fractional Laplacian -- 2.3 Asymptotic Behaviors of Feynman-Kac Functionals -- 3 Maximal Displacement of Branching Symmetric Stable Processes -- 3.1 Branching Symmetric Stable Processes -- 3.2 Weak Convergence and Tail Asymptotics -- 3.3 Examples -- 4 Proof of Theorem 17 -- References -- Random Riemannian Geometry in 4 Dimensions -- 1 Random Riemannian Geometries and Conformal Invariance -- 2 Paneitz Energy on 4-Dimensional Manifolds -- 3 Co-biharmonic Gaussian Field and Quantum Liouville Measure -- 3.1 Conformally Invariant Gaussian Field ; -- 3.2 Quantum Liouville Measure -- 4 Approximation by Random Fields and Liouville Measures on the Discrete 4-Torus -- 4.1 The Isotropic Haar System -- 4.2 The Semi-discrete Gaussian Field -- 4.3 The Semi-discrete Liouville Measure -- 4.4 Discrete Random Objects -- References -- Infinite Particle Systems with Hard-Core and Long-Range Interaction -- 1 Introduction -- 2 Preliminaries -- 2.1 Systems of Unlabeled Hard Balls -- 2.2 Systems of Labeled Balls -- 2.3 Skorohod Equation -- 3 Results -- 3.1 Existence of a Weak Solution -- 3.2 Statement of the Results -- 4 Proof of the Main Theorem -- 4.1 Finite Cluster Property.; 4.2 On the Lipschitz Continuity of b Subscript bold italic upper X Superscript double struck upper IbXmathbbI.

Crisis

• Record Nr.: UNINA9910473653503321
• Autore: Golley Jane
• Pubbl/distr/stampa: Canberra, : ANU Press, 2021; Canberra : , : ANU Press, , 2021; ©2021
• ISBN: 1-76046-439-2
• Descrizione fisica: 1 online resource (398 pages)
• Collana: China Story Yearbook
• Altri autori (Persone): JaivinLinda; StrangeSharon
• Soggetti: Cultural studies; Social impact of disasters
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Title Page -- Copyright and Imprint Information -- Contents -- Introduction -- The Year of Crisis -- Acknowledgements -- The Cover Image -- Forum · Standing on a Precipice -- The Etymology of the Character of Wei 危 -- Chapter 1 -- The Construction of Political Superiority -- Forum · Masks and Wolves -- Mask Diplomacy: Shifting the COVID-19 Narrative? -- The Rise and Fall of the Wolf Warriors -- Chapter 2 -- Beating the Virus in the Chinese Countryside -- Forum · ; Down and Out in Hong Kong -- Hong Kong's National Security Law -- Waste and the Elderly Working Poor in Hong Kong -- Chapter 3 -- Women's Bodies, Intimate Politics, and Feminist Consciousness Amid COVID-19 -- Forum · Cultural Communication -- The Language of Trust -- Chapter 4 -- The Chinese Economy: Crisis, Control, Recovery, Refocus -- Forum · Coping Through Laughter and Prayer -- Humour in Crisis -- The Power of Compassion: The Buddhist Approach to COVID-19 -- Chapter 5 -- China's Post-COVID-19 Stimulus: Dark Clouds, Green Lining -- Forum · Broken River Shattered Mountain -- The Three Gorges Dam: A Deluge of Doubts -- Chapter 6 -- The Future Repeats Itself: COVID-19 and Its Historical Comorbidities -- Forum · Plan for Difficulty -- The Dao of Crisis -- Chapter 7 -- US-China Relations: A Lingering Crisis -- Forum · Difficult Choices -- Taiwan's Search for a Grand Strategy -- Malaysia: Taking No Side but Its Own -- Chapter 8 -- The Sino-Indian Border Crisis: Chinese Perceptions of Indian Nationalism -- Forum · Of Mao and Money -- Chinese Loans to Africa: Trap or Treasure? -- Off the Prachanda Path: Nepali Communists' Crisis of Legitimacy -- Chapter 9 -- Economic Power and Vulnerability in Sino-Australian Relations -- Forum · Playing the Game? -- China and the Multilateral Trading System: Misunderstandings, Criticisms, and Options -- Chapter 10.; Chinese Students Abroad in the Time of Pandemic: An Australian View -- Chronology -- Notes -- Contributors -- Previous China Story Yearbooks.
• Sommario/riassunto: The year 2020 was marked by a series of rolling crises. The Australian wildfires at the start of the year were a catastrophic sign of the global climate crisis. Xi Jinping's announcement in September that the People’s Republic of China would become carbon neutral by 2060 could help alleviate the crisis, but China has to fix its coal problem first. The big story was, of course, the global COVID-19 pandemic. Appearing to originate in a Wuhan wet market, by year’s end the pandemic had claimed nearly 2 million lives worldwide, put whole countries into lockdown, and sent economies around the world tumbling into recession. China itself successfully suppressed the disease at home and recorded positive economic growth for the year — proving, at least according to the Chinese Communist Party, the 'superiority of the socialist system’. Not everyone was convinced, with persistent questions about the CCP’s initial cover up of the outbreak, and how the lack of transparency helped it become a pandemic in the first place. The China Story Yearbook 2020: Crisis surveys the multiple crises of the year of the Metal Rat, including the catastrophic mid-year floods that sparked fears about the stability of the Three Gorges Dam. It looks at how Chinese women fared through the pandemic, from the rise in domestic violence to portraits of female sacrifice on the medical front line to the trolling of a famous dancer for being childless. It also examines the downward-spiralling Sino-Australian relationship, the difficult ‘co-morbidities’ of China’s relations with the US, the end of ‘One Country, Two Systems’ in Hong Kong, the simmering border conflict with India, and the rise of pandemic-related anti-Chinese racism. The Yearbook also explores the responses to crisis of, among others, Daoists, Buddhists, and humourists — because when all else fails, there’s always philosophy, prayer, and laughter.

2010 International Conference on Financial Theory and Engineering

• Record Nr.: UNINA9910140828003321
• Pubbl/distr/stampa: [Place of publication not identified], : I E E E, 2010
• ISBN: 9781424477593; 142447759X
• Descrizione fisica: 1 online resource
• Disciplina: 332.01/5195
• Soggetti: Financial engineering
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph