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Dirichlet forms : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992 / E. Fabes ... [et al.] ; eds. G. Dell'Antonio, U. Mosco
| Dirichlet forms : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992 / E. Fabes ... [et al.] ; eds. G. Dell'Antonio, U. Mosco |
| Autore | Dell'Antonio, Gian Fausto |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1993 |
| Descrizione fisica | 245 p. ; 23 cm. |
| Disciplina | 515.7 |
| Altri autori (Persone) |
Fabes, E. B.
Mosco, U. |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1563 |
| Soggetto topico | Dirichlet forms |
| ISBN | 3540574212 |
| Classificazione |
AMS 31-XX
AMS 35-XX AMS 46-06 AMS 60-XX |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000828329707536 |
Dell'Antonio, Gian Fausto
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| Berlin : Springer-Verlag, c1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Dirichlet forms : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992 / / E. Fabes [and five others] ; editors, G. Dell'Antonio, U. Mosco
| Dirichlet forms : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992 / / E. Fabes [and five others] ; editors, G. Dell'Antonio, U. Mosco |
| Autore | Fabes E. B. |
| Edizione | [1st ed. 1993.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , [1993] |
| Descrizione fisica | 1 online resource (VIII, 252 p.) |
| Disciplina | 510 |
| Collana | C.I.M.E. Foundation Subseries |
| Soggetto topico | Dirichlet forms |
| ISBN | 3-540-48151-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Gaussian upper bounds on fundamental solutions of parabolic equations; the method of nash -- Two topics related to Dirichlet forms: quasi everywhere convergences and additive functionals -- Logarithmic Sobolev inequalities and contractivity properties of semigroups -- Potential theory of non-divergence form elliptic equations -- General theory of Dirichlet forms and applications -- Logarithmic Sobolev inequalities for gibbs states. |
| Record Nr. | UNISA-996466376303316 |
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Fabes E. B.
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| Berlin : , : Springer-Verlag, , [1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Dirichlet forms and analysis on Wiener space / Nicolas Bouleau and Francis Hirsch
| Dirichlet forms and analysis on Wiener space / Nicolas Bouleau and Francis Hirsch |
| Autore | Bouleau, Nicolas |
| Pubbl/distr/stampa | Berlin : De Gruyter, 1991 |
| Descrizione fisica | x, 325 p. ; 29 cm |
| Disciplina | 519.2 |
| Collana | De Gruyter studies in mathematics ; 14 |
| Soggetto topico |
Dirichlet forms
Malliavin calculus |
| ISBN | 9783110129199 |
| Classificazione |
AMS 31C
LC QA274.2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003714539707536 |
|
Bouleau, Nicolas
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| Berlin : De Gruyter, 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (572 pages) |
| Disciplina | 519.2 |
| Collana | Springer proceedings in mathematics & statistics |
| Soggetto topico |
Dirichlet forms
Formes (Matemàtica) Probabilitats |
| Soggetto genere / forma |
Homenatges
Congressos Llibres electrònics |
| ISBN | 981-19-4672-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNISA-996490348503316 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (572 pages) |
| Disciplina | 519.2 |
| Collana | Springer proceedings in mathematics & statistics |
| Soggetto topico |
Dirichlet forms
Formes (Matemàtica) Probabilitats |
| Soggetto genere / forma |
Homenatges
Congressos Llibres electrònics |
| ISBN | 981-19-4672-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910591040303321 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dirichlet forms and symmetric Markov processes [[electronic resource] /] / by Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda
| Dirichlet forms and symmetric Markov processes [[electronic resource] /] / by Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda |
| Autore | Fukushima Masatoshi <1935-> |
| Edizione | [2nd rev. and ext. ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2010 |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 519.2/33 |
| Altri autori (Persone) |
OshimaYoichi
TakedaMasayoshi |
| Collana | De Gruyter studies in mathematics |
| Soggetto topico |
Markov processes
Dirichlet forms |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-16483-3
9786613164834 3-11-021809-7 |
| Classificazione | NQ 6000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Dirichlet forms -- pt. 2. Symmetric Markov processes. |
| Record Nr. | UNINA-9910461300503321 |
|
Fukushima Masatoshi <1935->
|
||
| Berlin ; ; New York, : De Gruyter, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dirichlet forms and symmetric Markov processes [[electronic resource] /] / by Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda
| Dirichlet forms and symmetric Markov processes [[electronic resource] /] / by Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda |
| Autore | Fukushima Masatoshi <1935-> |
| Edizione | [2nd rev. and ext. ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2010 |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 519.2/33 |
| Altri autori (Persone) |
OshimaYoichi
TakedaMasayoshi |
| Collana | De Gruyter studies in mathematics |
| Soggetto topico |
Markov processes
Dirichlet forms |
| Soggetto non controllato |
Dirichlet Forms
Markov Processes Probability Theory Semigroups Stochastic Processes |
| ISBN |
1-283-16483-3
9786613164834 3-11-021809-7 |
| Classificazione | NQ 6000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Dirichlet forms -- pt. 2. Symmetric Markov processes. |
| Record Nr. | UNINA-9910789995003321 |
|
Fukushima Masatoshi <1935->
|
||
| Berlin ; ; New York, : De Gruyter, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dirichlet forms and symmetric Markov processes / / by Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda
| Dirichlet forms and symmetric Markov processes / / by Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda |
| Autore | Fukushima Masatoshi <1935-> |
| Edizione | [2nd rev. and ext. ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2010 |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 519.2/33 |
| Altri autori (Persone) |
ŌshimaYoichi
TakedaMasayoshi |
| Collana | De Gruyter studies in mathematics |
| Soggetto topico |
Markov processes
Dirichlet forms |
| Soggetto non controllato |
Dirichlet Forms
Markov Processes Probability Theory Semigroups Stochastic Processes |
| ISBN |
1-283-16483-3
9786613164834 3-11-021809-7 |
| Classificazione | NQ 6000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Dirichlet forms -- pt. 2. Symmetric Markov processes. |
| Record Nr. | UNINA-9910813286003321 |
|
Fukushima Masatoshi <1935->
|
||
| Berlin ; ; New York, : De Gruyter, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dirichlet forms and symmetric Markov processes [[electronic resource] /] / Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda
| Dirichlet forms and symmetric Markov processes [[electronic resource] /] / Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda |
| Autore | Fukushima Masatoshi <1935-> |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1994 |
| Descrizione fisica | 1 online resource (404 p.) |
| Disciplina | 519.2/33 |
| Altri autori (Persone) |
OshimaYoichi
TakedaMasayoshi |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico |
Markov processes
Dirichlet forms |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-088974-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Part I. Dirichlet forms -- Chapter 1. Basic theory of Dirichlet forms -- Chapter 2. Potential theory for Dirichlet forms -- Chapter 3. The scope of Dirichlet forms -- Part II. Symmetric Markov processes -- Chapter 4. Analysis by symmetric Hunt processes -- Chapter 5. Stochastic analysis by additive functionals -- Chapter 6. Transformations of forms and processes -- Chapter 7. Construction of symmetric Markov processes -- A Appendix -- Notes -- Bibliography -- Index |
| Record Nr. | UNINA-9910461995303321 |
|
Fukushima Masatoshi <1935->
|
||
| Berlin ; ; New York, : W. de Gruyter, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dirichlet forms and symmetric Markov processes [[electronic resource] /] / Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda
| Dirichlet forms and symmetric Markov processes [[electronic resource] /] / Masatoshi Fukushima, Yoichi Oshima, Masayoshi Takeda |
| Autore | Fukushima Masatoshi <1935-> |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1994 |
| Descrizione fisica | 1 online resource (404 p.) |
| Disciplina | 519.2/33 |
| Altri autori (Persone) |
OshimaYoichi
TakedaMasayoshi |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico |
Markov processes
Dirichlet forms |
| ISBN | 3-11-088974-9 |
| Classificazione | SK 820 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Part I. Dirichlet forms -- Chapter 1. Basic theory of Dirichlet forms -- Chapter 2. Potential theory for Dirichlet forms -- Chapter 3. The scope of Dirichlet forms -- Part II. Symmetric Markov processes -- Chapter 4. Analysis by symmetric Hunt processes -- Chapter 5. Stochastic analysis by additive functionals -- Chapter 6. Transformations of forms and processes -- Chapter 7. Construction of symmetric Markov processes -- A Appendix -- Notes -- Bibliography -- Index |
| Record Nr. | UNINA-9910785819403321 |
|
Fukushima Masatoshi <1935->
|
||
| Berlin ; ; New York, : W. de Gruyter, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
