Inevitable randomness in discrete mathematics / József Beck |
Autore | Beck, József |
Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c2009 |
Descrizione fisica | xi, 250 p. : ill. ; 26 cm |
Disciplina | 519.3 |
Collana | University lecture series, 1047-3998 ; 49 |
Soggetto topico |
Game theory
Random measures |
ISBN | 9780821847565 |
Classificazione |
AMS 60-02
AMS 05-02 AMS 91A46 LC QA269.B336 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001836009707536 |
Beck, József
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Providence, R. I. : American Mathematical Society, c2009 | ||
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Lo trovi qui: Univ. del Salento | ||
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La mesure de la gouvernance / / par Charles Oman et Christiane Arndt |
Autore | Oman Charles |
Pubbl/distr/stampa | [Place of publication not identified] : , : OECD Publishing, , 2010 |
Descrizione fisica | 1 online resource |
Disciplina | 350 |
Soggetto topico |
Public administration
Random measures |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNINA-9910138306103321 |
Oman Charles
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[Place of publication not identified] : , : OECD Publishing, , 2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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Multidimensional stochastic processes as rough paths : theory and applications / Peter K. Friz, Nicolas B. Victoir |
Autore | Friz, Peter K. |
Pubbl/distr/stampa | Cambridge, UK ; New York : Cambridge University Press, 2010 |
Descrizione fisica | xiv, 656 p. : ill. ; 24 cm |
Disciplina | 519.2 |
Altri autori (Persone) | Victoir, Nicolas B. |
Collana | Cambridge studies in advanced mathematics ; 120 |
Soggetto topico |
Stochastic difference equations
Stochastic processes Random measures |
ISBN |
9780521876070 (hbk.)
0521876079 (hbk.) |
Classificazione |
AMS 60-02
AMS 60G17 LC QA274.23.F746 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | und |
Record Nr. | UNISALENTO-991002629699707536 |
Friz, Peter K.
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Cambridge, UK ; New York : Cambridge University Press, 2010 | ||
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Lo trovi qui: Univ. del Salento | ||
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Mutually catalytic super branching random walks : large finite systems and renormalization analysis / / J. T. Cox, D. A. Dawson, A. Greven |
Autore | Cox J. T. |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
Descrizione fisica | 1 online resource (97 p.) |
Disciplina | 519.234 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Branching processes
Random walks (Mathematics) Random measures Renormalization (Physics) |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0410-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""0 Introduction""; ""(a) Background and motivation""; ""(b) The model and review of the basic ergodic theory""; ""1 Results: Longtime behavior of large finite systems""; ""(a) The finite system scheme""; ""(b) The mean�field finite system scheme""; ""2 Results: Renormalization analysis and corresponding basic limiting dynamics""; ""(a) The multiple space�time scale analysis""; ""(b) The entrance law of the interaction chain""; ""(c) Renormalization analysis and spatial continuum limit""; ""3 Results: Application of renormalization to large scale behavior""
""(a) Details on the formation of monotype clusters""""(b) Finer properties of equilibria in the case of coexistence""; ""(c) Finer properties of the continuum limit""; ""(d) Outlook: The problem of universality""; ""4 Preparation: Key technical tools""; ""(a) Duality relations""; ""(b) State space of the process and wellâ€?posedness""; ""(c) Properties of the equilibrium T[sup(c,γ)][sub(Î?)]""; ""(d) Stability properties""; ""5 Finite system scheme (Proof of Theorems 1,2)""; ""(a) The finite system scheme (Proof of Theorem 1)"" ""(b) The meanâ€?field finite system scheme (Proof of Theorem 2)""""6 Multiple spaceâ€?time scale analysis (Proof of Theorem 3, 5)""; ""(a) Hierarchical two level mutually catalytic branching""; ""(b) Hierarchical Kâ€?level mutually catalytic branching""; ""(c) Conclusion of the Proof of Theorem 3""; ""(d) Proof of Theorem 5""; ""7 Analysis of the interaction chain (Proof Theorem 4, 6 â€? 8)""; ""(a) Entrance laws of the interaction chain (Proof of Theorem 4)""; ""(b) Clusterâ€?formation (Proof of Theorem 6)""; ""(c) Equilibrium fluctuations (Proof of Theorem 7)"" ""(d) Meanâ€?field continuum limit (Proof of Proposition 3.1 and Theorem 8)"" |
Record Nr. | UNINA-9910480408203321 |
Cox J. T.
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Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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Mutually catalytic super branching random walks : large finite systems and renormalization analysis / / J. T. Cox, D. A. Dawson, A. Greven |
Autore | Cox J. T. |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
Descrizione fisica | 1 online resource (97 p.) |
Disciplina | 519.234 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Branching processes
Random walks (Mathematics) Random measures Renormalization (Physics) |
ISBN | 1-4704-0410-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""0 Introduction""; ""(a) Background and motivation""; ""(b) The model and review of the basic ergodic theory""; ""1 Results: Longtime behavior of large finite systems""; ""(a) The finite system scheme""; ""(b) The mean�field finite system scheme""; ""2 Results: Renormalization analysis and corresponding basic limiting dynamics""; ""(a) The multiple space�time scale analysis""; ""(b) The entrance law of the interaction chain""; ""(c) Renormalization analysis and spatial continuum limit""; ""3 Results: Application of renormalization to large scale behavior""
""(a) Details on the formation of monotype clusters""""(b) Finer properties of equilibria in the case of coexistence""; ""(c) Finer properties of the continuum limit""; ""(d) Outlook: The problem of universality""; ""4 Preparation: Key technical tools""; ""(a) Duality relations""; ""(b) State space of the process and wellâ€?posedness""; ""(c) Properties of the equilibrium T[sup(c,γ)][sub(Î?)]""; ""(d) Stability properties""; ""5 Finite system scheme (Proof of Theorems 1,2)""; ""(a) The finite system scheme (Proof of Theorem 1)"" ""(b) The meanâ€?field finite system scheme (Proof of Theorem 2)""""6 Multiple spaceâ€?time scale analysis (Proof of Theorem 3, 5)""; ""(a) Hierarchical two level mutually catalytic branching""; ""(b) Hierarchical Kâ€?level mutually catalytic branching""; ""(c) Conclusion of the Proof of Theorem 3""; ""(d) Proof of Theorem 5""; ""7 Analysis of the interaction chain (Proof Theorem 4, 6 â€? 8)""; ""(a) Entrance laws of the interaction chain (Proof of Theorem 4)""; ""(b) Clusterâ€?formation (Proof of Theorem 6)""; ""(c) Equilibrium fluctuations (Proof of Theorem 7)"" ""(d) Meanâ€?field continuum limit (Proof of Proposition 3.1 and Theorem 8)"" |
Record Nr. | UNINA-9910788747603321 |
Cox J. T.
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Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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Mutually catalytic super branching random walks : large finite systems and renormalization analysis / / J. T. Cox, D. A. Dawson, A. Greven |
Autore | Cox J. T. |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
Descrizione fisica | 1 online resource (97 p.) |
Disciplina | 519.234 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Branching processes
Random walks (Mathematics) Random measures Renormalization (Physics) |
ISBN | 1-4704-0410-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""0 Introduction""; ""(a) Background and motivation""; ""(b) The model and review of the basic ergodic theory""; ""1 Results: Longtime behavior of large finite systems""; ""(a) The finite system scheme""; ""(b) The mean�field finite system scheme""; ""2 Results: Renormalization analysis and corresponding basic limiting dynamics""; ""(a) The multiple space�time scale analysis""; ""(b) The entrance law of the interaction chain""; ""(c) Renormalization analysis and spatial continuum limit""; ""3 Results: Application of renormalization to large scale behavior""
""(a) Details on the formation of monotype clusters""""(b) Finer properties of equilibria in the case of coexistence""; ""(c) Finer properties of the continuum limit""; ""(d) Outlook: The problem of universality""; ""4 Preparation: Key technical tools""; ""(a) Duality relations""; ""(b) State space of the process and wellâ€?posedness""; ""(c) Properties of the equilibrium T[sup(c,γ)][sub(Î?)]""; ""(d) Stability properties""; ""5 Finite system scheme (Proof of Theorems 1,2)""; ""(a) The finite system scheme (Proof of Theorem 1)"" ""(b) The meanâ€?field finite system scheme (Proof of Theorem 2)""""6 Multiple spaceâ€?time scale analysis (Proof of Theorem 3, 5)""; ""(a) Hierarchical two level mutually catalytic branching""; ""(b) Hierarchical Kâ€?level mutually catalytic branching""; ""(c) Conclusion of the Proof of Theorem 3""; ""(d) Proof of Theorem 5""; ""7 Analysis of the interaction chain (Proof Theorem 4, 6 â€? 8)""; ""(a) Entrance laws of the interaction chain (Proof of Theorem 4)""; ""(b) Clusterâ€?formation (Proof of Theorem 6)""; ""(c) Equilibrium fluctuations (Proof of Theorem 7)"" ""(d) Meanâ€?field continuum limit (Proof of Proposition 3.1 and Theorem 8)"" |
Record Nr. | UNINA-9910813659503321 |
Cox J. T.
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Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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On the martingale problem for interactive measure-valued branching diffusions / / Edwin Perkins |
Autore | Perkins Edwin Arend <1953-> |
Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 |
Descrizione fisica | 1 online resource (102 p.) |
Disciplina | 519.2/34 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Branching processes
Random measures Stochastic analysis |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0128-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""1. Introduction""; ""2. Historical Integrals and Stochastic Calculus""; ""3. On the Compact Support Property""; ""4. Pathwise Existence and Uniqueness in a Stochastic Equation for Historical Processes""; ""5. Existence and Uniqueness for a Historical Martingale Problem""; ""References"" |
Record Nr. | UNINA-9910480533103321 |
Perkins Edwin Arend <1953->
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Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 | ||
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Lo trovi qui: Univ. Federico II | ||
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On the martingale problem for interactive measure-valued branching diffusions / / Edwin Perkins |
Autore | Perkins Edwin Arend <1953-> |
Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 |
Descrizione fisica | 1 online resource (102 p.) |
Disciplina | 519.2/34 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Branching processes
Random measures Stochastic analysis |
ISBN | 1-4704-0128-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""1. Introduction""; ""2. Historical Integrals and Stochastic Calculus""; ""3. On the Compact Support Property""; ""4. Pathwise Existence and Uniqueness in a Stochastic Equation for Historical Processes""; ""5. Existence and Uniqueness for a Historical Martingale Problem""; ""References"" |
Record Nr. | UNINA-9910788757203321 |
Perkins Edwin Arend <1953->
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Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 | ||
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Lo trovi qui: Univ. Federico II | ||
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On the martingale problem for interactive measure-valued branching diffusions / / Edwin Perkins |
Autore | Perkins Edwin Arend <1953-> |
Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 |
Descrizione fisica | 1 online resource (102 p.) |
Disciplina | 519.2/34 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Branching processes
Random measures Stochastic analysis |
ISBN | 1-4704-0128-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""1. Introduction""; ""2. Historical Integrals and Stochastic Calculus""; ""3. On the Compact Support Property""; ""4. Pathwise Existence and Uniqueness in a Stochastic Equation for Historical Processes""; ""5. Existence and Uniqueness for a Historical Martingale Problem""; ""References"" |
Record Nr. | UNINA-9910827874203321 |
Perkins Edwin Arend <1953->
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Providence, Rhode Island, United States : , : American Mathematical Society, , 1995 | ||
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Lo trovi qui: Univ. Federico II | ||
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Physics of Stochastic Processes : How Randomness Acts in Time |
Autore | Mahnke Reinhard |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Weinheim : , : John Wiley & Sons, Incorporated, , 2009 |
Descrizione fisica | 1 online resource (450 pages) |
Disciplina | 519.23 |
Altri autori (Persone) |
KaupuzsJevgenijs
LubashevskyIhor |
Soggetto topico |
Stochastic processes
Random measures Statistical physics Stochastic processes -- Problems, exercises, etc Random measures -- Problems, exercises, etc Statistical physics -- Problems, exercises, etc |
Soggetto genere / forma | Electronic books. |
ISBN |
9783527626106
9783527408405 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Physics of Stochastic Processes -- Contents -- Preface -- Part I Basic Mathematical Description -- 1 Fundamental Concepts -- 1.1 Wiener Process, Adapted Processes and Quadratic Variation -- 1.2 The Space of Square Integrable Random Variables -- 1.3 The Ito Integral and the Ito Formula -- 1.4 The Kolmogorov Differential Equation and the Fokker-Planck Equation -- 1.5 Special Diffusion Processes -- 1.6 Exercises -- 2 Multidimensional Approach -- 2.1 Bounded Multidimensional Region -- 2.2 From Chapman-Kolmogorov Equation to Fokker-Planck Description -- 2.2.1 The Backward Fokker-Planck Equation -- 2.2.2 Boundary Singularities -- 2.2.3 The Forward Fokker-Planck Equation -- 2.2.4 Boundary Relations -- 2.3 Different Types of Boundaries -- 2.4 Equivalent Lattice Representation of Random Walks Near the Boundary -- 2.4.1 Diffusion Tensor Representations -- 2.4.2 Equivalent Lattice Random Walks -- 2.4.3 Properties of the Boundary Layer -- 2.5 Expression for Boundary Singularities -- 2.6 Derivation of Singular Boundary Scaling Properties -- 2.6.1 Moments of the Walker Distribution and the Generating Function -- 2.6.2 Master Equation for Lattice Random Walks and its General Solution -- 2.6.3 Limit of Multiple-Step Random Walks on Small Time Scales -- 2.6.4 Continuum Limit and a Boundary Model -- 2.7 Boundary Condition for the Backward Fokker-Planck Equation -- 2.8 Boundary Condition for the Forward Fokker-Planck Equation -- 2.9 Concluding Remarks -- 2.10 Exercises -- Part II Physics of Stochastic Processes -- 3 The Master Equation -- 3.1 Markovian Stochastic Processes -- 3.2 The Master Equation -- 3.3 One-Step Processes in Finite Systems -- 3.4 The First-Passage Time Problem -- 3.5 The Poisson Process in Closed and Open Systems -- 3.6 The Two-Level System -- 3.7 The Three-Level System -- 3.8 Exercises -- 4 The Fokker-Planck Equation.
4.1 General Fokker-Planck Equations -- 4.2 Bounded Drift-Diffusion in One Dimension -- 4.3 The Escape Problem and its Solution -- 4.4 Derivation of the Fokker-Planck Equation -- 4.5 Fokker-Planck Dynamics in Finite State Space -- 4.6 Fokker-Planck Dynamics with Coordinate-Dependent Diffusion Coefficient -- 4.7 Alternative Method of Solving the Fokker-Planck Equation -- 4.8 Exercises -- 5 The Langevin Equation -- 5.1 A System of Many Brownian Particles -- 5.2 A Traditional View of the Langevin Equation -- 5.3 Additive White Noise -- 5.4 Spectral Analysis -- 5.5 Brownian Motion in Three-Dimensional Velocity Space -- 5.6 Stochastic Differential Equations -- 5.7 The Standard Wiener Process -- 5.8 Arithmetic Brownian Motion -- 5.9 Geometric Brownian Motion -- 5.10 Exercises -- Part III Applications -- 6 One-Dimensional Diffusion -- 6.1 Random Walk on a Line and Diffusion: Main Results -- 6.2 A Drunken Sailor as Random Walker -- 6.3 Diffusion with Natural Boundaries -- 6.4 Diffusion in a Finite Interval with Mixed Boundaries -- 6.5 The Mirror Method and Time Lag -- 6.6 Maximum Value Distribution -- 6.7 Summary of Results for Diffusion in a Finite Interval -- 6.7.1 Reflected Diffusion -- 6.7.2 Diffusion in a Semi-Open System -- 6.7.3 Diffusion in an Open System -- 6.8 Exercises -- 7 Bounded Drift-Diffusion Motion -- 7.1 Drift-Diffusion Equation with Natural Boundaries -- 7.2 Drift-Diffusion Problem with Absorbing and Reflecting Boundaries -- 7.3 Dimensionless Drift-Diffusion Equation -- 7.4 Solution in Terms of Orthogonal Eigenfunctions -- 7.5 First-Passage Time Probability Density -- 7.6 Cumulative Breakdown Probability -- 7.7 The Limiting Case for Large Positive Values of the Control Parameter -- 7.8 A Brief Survey of the Exact Solution -- 7.8.1 Probability Density -- 7.8.2 Outflow Probability Density. 7.8.3 First Moment of the Outflow Probability Density -- 7.8.4 Second Moment of the Outflow Probability Density -- 7.8.5 Outflow Probability -- 7.9 Relationship to the Sturm-Liouville Theory -- 7.10 Alternative Method by the Backward Fokker-Planck Equation -- 7.11 Roots of the Transcendental Equation -- 7.12 Exercises -- 8 The Ornstein-Uhlenbeck Process -- 8.1 Definitions and Properties -- 8.2 The Ornstein-Uhlenbeck Process and its Solution -- 8.3 The Ornstein-Uhlenbeck Process with Linear Potential -- 8.4 The Exponential Ornstein-Uhlenbeck Process -- 8.5 Outlook on Econophysics -- 8.6 Exercises -- 9 Nucleation in Supersaturated Vapors -- 9.1 Dynamics of First-Order Phase Transitions in Finite Systems -- 9.2 Condensation of Supersaturated Vapor -- 9.3 The General Multi-Droplet Scenario -- 9.4 Detailed Balance and Free Energy -- 9.5 Relaxation to the Free Energy Minimum -- 9.6 Chemical Potentials -- 9.7 Exercises -- 10 Vehicular Traffic -- 10.1 The Car-Following Theory -- 10.2 The Optimal Velocity Model and its Langevin Approach -- 10.3 Traffic Jam Formation on a Circular Road -- 10.4 Metastability Near Phase Transitions in Traffic Flow -- 10.5 Car Cluster Formation as First-Order Phase Transition -- 10.6 Thermodynamics of Traffic Flow -- 10.7 Exercises -- 11 Noise-Induced Phase Transitions -- 11.1 Equilibrium and Nonequilibrium Phase Transitions -- 11.2 Types of Stochastic Differential Equations -- 11.3 Transformation of Random Variables -- 11.4 Forms of the Fokker-Planck Equation -- 11.5 The Verhulst Model of Third Order -- 11.6 The Genetic Model -- 11.7 Noise-Induced Instability in Geometric Brownian Motion -- 11.8 System Dynamics with Stagnation -- 11.9 Oscillator with Dynamical Traps -- 11.10 Dynamics with Traps in a Chain of Oscillators -- 11.11 Self-Freezing Model for Multi-Lane Traffic -- 11.12 Exercises -- 12 Many-Particle Systems. 12.1 Hopping Models with Zero-Range Interaction -- 12.2 The Zero-Range Model of Traffic Flow -- 12.3 Transition Rates and Phase Separation -- 12.4 Metastability -- 12.5 Monte Carlo Simulations of the Hopping Model -- 12.6 Fundamental Diagram of the Zero-Range Model -- 12.7 Polarization Kinetics in Ferroelectrics with Fluctuations -- 12.8 Exercises -- Epilog -- References -- Index. |
Record Nr. | UNINA-9910795983603321 |
Mahnke Reinhard
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Weinheim : , : John Wiley & Sons, Incorporated, , 2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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