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Global And Stochastic Analysis With Applications To Mathematical Physics


Global And Stochastic Analysis With Applications To Mathematical Physics
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Global And Stochastic Analysis With Applications To Mathematical Physics


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.



Ideas And Methods In Mathematical Analysis Stochastics And Applications Volume 1


Ideas And Methods In Mathematical Analysis Stochastics And Applications Volume 1
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Author : Sergio Albeverio
language : en
Publisher: Cambridge University Press
Release Date : 1992-06-26

Ideas And Methods In Mathematical Analysis Stochastics And Applications Volume 1 written by Sergio Albeverio and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-26 with Mathematics categories.


A collection of essays by many of the closest co-workers of Raphael Høegh-Krohn.



Mathematics Physics Lectures On Recent Results Volume Ii


Mathematics Physics Lectures On Recent Results Volume Ii
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Author : Ludwig Streit
language : en
Publisher: World Scientific
Release Date : 1986-05-01

Mathematics Physics Lectures On Recent Results Volume Ii written by Ludwig Streit and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-05-01 with Science categories.


Contents: The Inverse Method in Quantum Mechanics (H Grosse)An Invitation to Alain Connes' Cyclic Cohomology (D Kastler)Topological Methods in Field Theory (L A-Gaumé)Non-Standard Analysis: Applications to Probability Theory and Mathematical Physics (S Albeverio)Nonlinear Evolution Equation: Cauchy Problem and Scattering Theory (J Ginibre & G Velo)and other papers Readership: Mathematical and quantum physicists.



Modern Methods In Operator Theory And Harmonic Analysis


Modern Methods In Operator Theory And Harmonic Analysis
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Author : Alexey Karapetyants
language : en
Publisher: Springer Nature
Release Date : 2019-08-28

Modern Methods In Operator Theory And Harmonic Analysis written by Alexey Karapetyants and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-28 with Mathematics categories.


This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018. The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory, differential equations and fractional analysis – all fields that have been intensively developed in recent decades. Direct and inverse problems arising in mathematical physics are studied and new methods for solving them are presented. Complex multiparameter objects that require the involvement of operators with variable parameters and functional spaces, with fractional and even variable exponents, make these approaches all the more relevant. Given its scope, the book will especially benefit researchers with an interest in new trends in harmonic analysis and operator theory, though it will also appeal to graduate students seeking new and intriguing topics for further investigation.



Geometric Science Of Information


Geometric Science Of Information
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Author : Frank Nielsen
language : en
Publisher: Springer
Release Date : 2017-10-30

Geometric Science Of Information written by Frank Nielsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Computers categories.


This book constitutes the refereed proceedings of the Third International Conference on Geometric Science of Information, GSI 2017, held in Paris, France, in November 2017. The 101 full papers presented were carefully reviewed and selected from 113 submissions and are organized into the following subjects: statistics on non-linear data; shape space; optimal transport and applications: image processing; optimal transport and applications: signal processing; statistical manifold and hessian information geometry; monotone embedding in information geometry; information structure in neuroscience; geometric robotics and tracking; geometric mechanics and robotics; stochastic geometric mechanics and Lie group thermodynamics; probability on Riemannian manifolds; divergence geometry; non-parametric information geometry; optimization on manifold; computational information geometry; probability density estimation; session geometry of tensor-valued data; geodesic methods with constraints; applications of distance geometry.



Fokker Planck Kolmogorov Equations


Fokker Planck Kolmogorov Equations
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Author : Vladimir I. Bogachev
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-12-17

Fokker Planck Kolmogorov Equations written by Vladimir I. Bogachev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-17 with Mathematics categories.


This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker-Planck-Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.



New Trends In Stochastic Analysis And Related Topics


New Trends In Stochastic Analysis And Related Topics
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Author : Huaizhong Zhao
language : en
Publisher: World Scientific
Release Date : 2012

New Trends In Stochastic Analysis And Related Topics written by Huaizhong Zhao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2001

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.




Viiith International Congress On Mathematical Physics


Viiith International Congress On Mathematical Physics
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Author : M. Mebkhout
language : en
Publisher: World Scientific Publishing Company
Release Date : 1987

Viiith International Congress On Mathematical Physics written by M. Mebkhout and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.




Guide To Programs


Guide To Programs
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date : 1996

Guide To Programs written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Federal aid to research categories.