Feynman-Kac-Type Theorems and Gibbs Measures on Path Space

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space PDF Author: József Lörinczi
Publisher: Walter de Gruyter
ISBN: 3110203731
Category : Mathematics
Languages : en
Pages : 516

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Book Description
This monograph offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. These ideas are then applied principally to a rigorous treatment of some fundamental models of quantum field theory. In this self-contained presentation of the material both beginners and experts are addressed, while putting emphasis on the interdisciplinary character of the subject.

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space PDF Author: József Lörinczi
Publisher: Walter de Gruyter
ISBN: 9783110330403
Category :
Languages : en
Pages : 560

Get Book

Book Description
This is the second updated and extended edition of the successful book on Feynman-Kac Theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. Thefirst volume concentrates on Feynman-Kac-type formulae and Gibbs measures.

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space PDF Author: József Lörinczi
Publisher: Walter de Gruyter
ISBN: 9783110403558
Category :
Languages : en
Pages : 400

Get Book

Book Description
This is the second updated and extended edition of the successful book on Feynman-Kac Theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. In the second volume, these ideas are applied principally to a rigorous treatment of some fundamental models of quantum field theory.

Feynman-Kac-Type Formulae and Gibbs Measures

Feynman-Kac-Type Formulae and Gibbs Measures PDF Author: József Lörinczi
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110330393
Category : Mathematics
Languages : en
Pages : 575

Get Book

Book Description
This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. The first volume concentrates on Feynman-Kac-type formulae and Gibbs measures.

Applications in Rigorous Quantum Field Theory

Applications in Rigorous Quantum Field Theory PDF Author: Fumio Hiroshima
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110403544
Category : Mathematics
Languages : en
Pages : 557

Get Book

Book Description
This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. In the second volume, these ideas are applied principally to a rigorous treatment of some fundamental models of quantum field theory.

Gibbs Measures and Phase Transitions

Gibbs Measures and Phase Transitions PDF Author: Hans-Otto Georgii
Publisher: Walter de Gruyter
ISBN: 3110250292
Category : Mathematics
Languages : en
Pages : 545

Get Book

Book Description
From a review of the first edition: "This book ] covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics. ] It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert." (F. Papangelou, Zentralblatt MATH) The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area."

Stochastic Partial Differential Equations and Related Fields

Stochastic Partial Differential Equations and Related Fields PDF Author: Andreas Eberle
Publisher: Springer
ISBN: 3319749293
Category : Mathematics
Languages : en
Pages : 574

Get Book

Book Description
This Festschrift contains five research surveys and thirty-four shorter contributions by participants of the conference ''Stochastic Partial Differential Equations and Related Fields'' hosted by the Faculty of Mathematics at Bielefeld University, October 10–14, 2016. The conference, attended by more than 140 participants, including PostDocs and PhD students, was held both to honor Michael Röckner's contributions to the field on the occasion of his 60th birthday and to bring together leading scientists and young researchers to present the current state of the art and promising future developments. Each article introduces a well-described field related to Stochastic Partial Differential Equations and Stochastic Analysis in general. In particular, the longer surveys focus on Dirichlet forms and Potential theory, the analysis of Kolmogorov operators, Fokker–Planck equations in Hilbert spaces, the theory of variational solutions to stochastic partial differential equations, singular stochastic partial differential equations and their applications in mathematical physics, as well as on the theory of regularity structures and paracontrolled distributions. The numerous research surveys make the volume especially useful for graduate students and researchers who wish to start work in the above-mentioned areas, or who want to be informed about the current state of the art.

Path Integrals

Path Integrals PDF Author: Wolfhard Janke
Publisher: World Scientific
ISBN: 9812837264
Category : Science
Languages : en
Pages : 610

Get Book

Book Description
This proceedings volume contains selected talks and poster presentations from the 9th International Conference on Path Integrals ? New Trends and Perspectives, which took place at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany, during the period September 23?28, 2007. Continuing the well-developed tradition of the conference series, the present status of both the different techniques of path integral calculations and their diverse applications to many fields of physics and chemistry is reviewed. This is reflected in the main topics in this volume, which range from more traditional fields such as general quantum physics and quantum or statistical field theory through technical aspects like Monte Carlo simulations to more modern applications in the realm of quantum gravity and astrophysics, condensed matter physics with topical subjects such as Bose?Einstein condensation or quantum wires, biophysics and econophysics. All articles are successfully tied together by the common method of path integration; as a result, special methodological advancements in one topic could be transferred to other topics.

Differential Equations on Measures and Functional Spaces

Differential Equations on Measures and Functional Spaces PDF Author: Vassili Kolokoltsov
Publisher: Springer
ISBN: 3030033775
Category : Mathematics
Languages : en
Pages : 525

Get Book

Book Description
This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general kinetic equations and fractional evolutions. The level of generality chosen is suitable for the study of the most important nonlinear equations of mathematical physics, such as Boltzmann, Smoluchovskii, Vlasov, Landau-Fokker-Planck, Cahn-Hilliard, Hamilton-Jacobi-Bellman, nonlinear Schroedinger, McKean-Vlasov diffusions and their nonlocal extensions, mass-action-law kinetics from chemistry. It also covers nonlinear evolutions arising in evolutionary biology and mean-field games, optimization theory, epidemics and system biology, in general models of interacting particles or agents describing splitting and merging, collisions and breakage, mutations and the preferential-attachment growth on networks. The book is intended mainly for upper undergraduate and graduate students, but is also of use to researchers in differential equations and their applications. It particularly highlights the interconnections between various topics revealing where and how a particular result is used in other chapters or may be used in other contexts, and also clarifies the links between the languages of pseudo-differential operators, generalized functions, operator theory, abstract linear spaces, fractional calculus and path integrals.

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space PDF Author: József Lörinczi
Publisher: Walter de Gruyter
ISBN: 3110203731
Category : Mathematics
Languages : en
Pages : 516

View

Book Description
This monograph offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. These ideas are then applied principally to a rigorous treatment of some fundamental models of quantum field theory. In this self-contained presentation of the material both beginners and experts are addressed, while putting emphasis on the interdisciplinary character of the subject.

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space PDF Author: József Lörinczi
Publisher: Walter de Gruyter
ISBN: 9783110330403
Category :
Languages : en
Pages : 560

View

Book Description
This is the second updated and extended edition of the successful book on Feynman-Kac Theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. Thefirst volume concentrates on Feynman-Kac-type formulae and Gibbs measures.

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space PDF Author: József Lörinczi
Publisher: Walter de Gruyter
ISBN: 9783110403558
Category :
Languages : en
Pages : 400

View

Book Description
This is the second updated and extended edition of the successful book on Feynman-Kac Theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. In the second volume, these ideas are applied principally to a rigorous treatment of some fundamental models of quantum field theory.

Feynman-Kac-type Theorems and Gibbs Measures on Path Space

Feynman-Kac-type Theorems and Gibbs Measures on Path Space PDF Author: József Lőrinczi
Publisher:
ISBN:
Category :
Languages : en
Pages :

View

Book Description


Feynman-Kac-Type Formulae and Gibbs Measures

Feynman-Kac-Type Formulae and Gibbs Measures PDF Author: József Lörinczi
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110330393
Category : Mathematics
Languages : en
Pages : 575

View

Book Description
This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. The first volume concentrates on Feynman-Kac-type formulae and Gibbs measures.

Applications in Rigorous Quantum Field Theory

Applications in Rigorous Quantum Field Theory PDF Author: Fumio Hiroshima
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110403544
Category : Mathematics
Languages : en
Pages : 557

View

Book Description
This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. In the second volume, these ideas are applied principally to a rigorous treatment of some fundamental models of quantum field theory.

Gibbs Measures and Phase Transitions

Gibbs Measures and Phase Transitions PDF Author: Hans-Otto Georgii
Publisher: Walter de Gruyter
ISBN: 3110250292
Category : Mathematics
Languages : en
Pages : 545

View

Book Description
From a review of the first edition: "This book ] covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics. ] It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert." (F. Papangelou, Zentralblatt MATH) The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area."

Stochastic Partial Differential Equations and Related Fields

Stochastic Partial Differential Equations and Related Fields PDF Author: Andreas Eberle
Publisher: Springer
ISBN: 3319749293
Category : Mathematics
Languages : en
Pages : 574

View

Book Description
This Festschrift contains five research surveys and thirty-four shorter contributions by participants of the conference ''Stochastic Partial Differential Equations and Related Fields'' hosted by the Faculty of Mathematics at Bielefeld University, October 10–14, 2016. The conference, attended by more than 140 participants, including PostDocs and PhD students, was held both to honor Michael Röckner's contributions to the field on the occasion of his 60th birthday and to bring together leading scientists and young researchers to present the current state of the art and promising future developments. Each article introduces a well-described field related to Stochastic Partial Differential Equations and Stochastic Analysis in general. In particular, the longer surveys focus on Dirichlet forms and Potential theory, the analysis of Kolmogorov operators, Fokker–Planck equations in Hilbert spaces, the theory of variational solutions to stochastic partial differential equations, singular stochastic partial differential equations and their applications in mathematical physics, as well as on the theory of regularity structures and paracontrolled distributions. The numerous research surveys make the volume especially useful for graduate students and researchers who wish to start work in the above-mentioned areas, or who want to be informed about the current state of the art.

Path Integrals

Path Integrals PDF Author: Wolfhard Janke
Publisher: World Scientific
ISBN: 9812837264
Category : Science
Languages : en
Pages : 610

View

Book Description
This proceedings volume contains selected talks and poster presentations from the 9th International Conference on Path Integrals ? New Trends and Perspectives, which took place at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany, during the period September 23?28, 2007. Continuing the well-developed tradition of the conference series, the present status of both the different techniques of path integral calculations and their diverse applications to many fields of physics and chemistry is reviewed. This is reflected in the main topics in this volume, which range from more traditional fields such as general quantum physics and quantum or statistical field theory through technical aspects like Monte Carlo simulations to more modern applications in the realm of quantum gravity and astrophysics, condensed matter physics with topical subjects such as Bose?Einstein condensation or quantum wires, biophysics and econophysics. All articles are successfully tied together by the common method of path integration; as a result, special methodological advancements in one topic could be transferred to other topics.

Differential Equations on Measures and Functional Spaces

Differential Equations on Measures and Functional Spaces PDF Author: Vassili Kolokoltsov
Publisher: Springer
ISBN: 3030033775
Category : Mathematics
Languages : en
Pages : 525

View

Book Description
This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general kinetic equations and fractional evolutions. The level of generality chosen is suitable for the study of the most important nonlinear equations of mathematical physics, such as Boltzmann, Smoluchovskii, Vlasov, Landau-Fokker-Planck, Cahn-Hilliard, Hamilton-Jacobi-Bellman, nonlinear Schroedinger, McKean-Vlasov diffusions and their nonlocal extensions, mass-action-law kinetics from chemistry. It also covers nonlinear evolutions arising in evolutionary biology and mean-field games, optimization theory, epidemics and system biology, in general models of interacting particles or agents describing splitting and merging, collisions and breakage, mutations and the preferential-attachment growth on networks. The book is intended mainly for upper undergraduate and graduate students, but is also of use to researchers in differential equations and their applications. It particularly highlights the interconnections between various topics revealing where and how a particular result is used in other chapters or may be used in other contexts, and also clarifies the links between the languages of pseudo-differential operators, generalized functions, operator theory, abstract linear spaces, fractional calculus and path integrals.