Stochastic Analysis And Applications In Physics

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Stochastic Analysis And Applications In Physics

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Author : Ana Isabel Cardoso
language : en
Publisher:
Release Date : 1994-10-31

Stochastic Analysis And Applications In Physics written by Ana Isabel Cardoso and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-31 with categories.

Global And Stochastic Analysis With Applications To Mathematical Physics

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Author : Yuri E. Gliklikh
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-07

Global And Stochastic Analysis With Applications To Mathematical Physics written by Yuri E. Gliklikh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-07 with Mathematics categories.

Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the consideration of a broader class of problems. This book develops methods of Global Analysis and Stochastic Analysis such that their combination allows one to have a more or less common treatment for areas of mathematical physics that traditionally are considered as divergent and requiring different methods of investigation. Global and Stochastic Analysis with Applications to Mathematical Physics covers branches of mathematics that are currently absent in monograph form. Through the demonstration of new topics of investigation and results, both in traditional and more recent problems, this book offers a fresh perspective on ordinary and stochastic differential equations and inclusions (in particular, given in terms of Nelson's mean derivatives) on linear spaces and manifolds. Topics covered include classical mechanics on non-linear configuration spaces, problems of statistical and quantum physics, and hydrodynamics. A self-contained book that provides a large amount of preliminary material and recent results which will serve to be a useful introduction to the subject and a valuable resource for further research. It will appeal to researchers, graduate and PhD students working in global analysis, stochastic analysis and mathematical physics.

Selected Papers Of Takeyuki Hida

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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2001

Selected Papers Of Takeyuki Hida written by Takeyuki Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

The topics discussed in this book can be classified into three parts: (i) Gaussian processes. The most general and in fact final representation theory of Gaussian processes is included in this book. This theory is still referred to often and its developments are discussed.(ii) White noise analysis. This book includes the notes of the series of lectures delivered in 1975 at Carleton University in Ottawa. They describe the very original idea of introducing the notion of generalized Brownian functionals (nowadays called ?generalized white noise functionals?, and sometimes ?Hida distribution?.(iii) Variational calculus for random fields. This topic will certainly represent one of the driving research lines for probability theory in the next century, as can be seen from several papers in this volume

Stochastic Analysis And Applications

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Author : Pinsky
language : en
Publisher: CRC Press
Release Date : 2019-12-02

Stochastic Analysis And Applications written by Pinsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-02 with categories.

This volume attempts to exhibit current research in stochastic integration, stochastic differential equations, stochastic optimization and stochastic problems in physics and biology. It includes information on the theory of Dirichlet forms, Feynman integration and the Schrodinger's equation.

Quantum Information Iv Proceedings Of The Fourth International Conference

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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2002-05-30

Quantum Information Iv Proceedings Of The Fourth International Conference written by Takeyuki Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-30 with Science categories.

Advances In Non Archimedean Analysis And Applications

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Author : W. A. Zúñiga-Galindo
language : en
Publisher: Springer Nature
Release Date : 2021-12-02

Advances In Non Archimedean Analysis And Applications written by W. A. Zúñiga-Galindo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-02 with Mathematics categories.

This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications. Featuring new techniques developed by leading experts in the field, it highlights the relevance and depth of this important area of mathematics, in particular its expanding reach into the physical, biological, social, and computational sciences as well as engineering and technology. In the last forty years the connections between non-Archimedean mathematics and disciplines such as physics, biology, economics and engineering, have received considerable attention. Ultrametric spaces appear naturally in models where hierarchy plays a central role – a phenomenon known as ultrametricity. In the 80s, the idea of using ultrametric spaces to describe the states of complex systems, with a natural hierarchical structure, emerged in the works of Fraunfelder, Parisi, Stein and others. A central paradigm in the physics of certain complex systems – for instance, proteins – asserts that the dynamics of such a system can be modeled as a random walk on the energy landscape of the system. To construct mathematical models, the energy landscape is approximated by an ultrametric space (a finite rooted tree), and then the dynamics of the system is modeled as a random walk on the leaves of a finite tree. In the same decade, Volovich proposed using ultrametric spaces in physical models dealing with very short distances. This conjecture has led to a large body of research in quantum field theory and string theory. In economics, the non-Archimedean utility theory uses probability measures with values in ordered non-Archimedean fields. Ultrametric spaces are also vital in classification and clustering techniques. Currently, researchers are actively investigating the following areas: p-adic dynamical systems, p-adic techniques in cryptography, p-adic reaction-diffusion equations and biological models, p-adic models in geophysics, stochastic processes in ultrametric spaces, applications of ultrametric spaces in data processing, and more. This contributed volume gathers the latest theoretical developments as well as state-of-the art applications of non-Archimedean analysis. It covers non-Archimedean and non-commutative geometry, renormalization, p-adic quantum field theory and p-adic quantum mechanics, as well as p-adic string theory and p-adic dynamics. Further topics include ultrametric bioinformation, cryptography and bioinformatics in p-adic settings, non-Archimedean spacetime, gravity and cosmology, p-adic methods in spin glasses, and non-Archimedean analysis of mental spaces. By doing so, it highlights new avenues of research in the mathematical sciences, biosciences and computational sciences.

Quantum Information Iv

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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2002

Quantum Information Iv written by Takeyuki Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.

Annotation. ...study on the Power of Potential fluctuation in living cells...some properties of measure-valued processes with singular branching rate and other papers.

Stochastic Analysis And Applications

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Author : Pinsky
language : en
Publisher: CRC Press
Release Date : 1984-11-14

Stochastic Analysis And Applications written by Pinsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-11-14 with Mathematics categories.

This volume attempts to exhibit current research in stochastic integration, stochastic differential equations, stochastic optimization and stochastic problems in physics and biology. It includes information on the theory of Dirichlet forms, Feynman integration and the Schrodinger's equation.

Stochastic Processes

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Author : Wolfgang Paul
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-11

Stochastic Processes written by Wolfgang Paul and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-11 with Science categories.

This book introduces the theory of stochastic processes with applications taken from physics and finance. Fundamental concepts like the random walk or Brownian motion but also Levy-stable distributions are discussed. Applications are selected to show the interdisciplinary character of the concepts and methods. In the second edition of the book a discussion of extreme events ranging from their mathematical definition to their importance for financial crashes was included. The exposition of basic notions of probability theory and the Brownian motion problem as well as the relation between conservative diffusion processes and quantum mechanics is expanded. The second edition also enlarges the treatment of financial markets. Beyond a presentation of geometric Brownian motion and the Black-Scholes approach to option pricing as well as the econophysics analysis of the stylized facts of financial markets, an introduction to agent based modeling approaches is given.

Library Of Congress Subject Headings

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Author : Library of Congress
language : en
Publisher:
Release Date : 2013

Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Subject headings, Library of Congress categories.