Stochastic Processes Physics And Geometry

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Stochastic Processes Physics And Geometry

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Author : Sergio Albeverio
language : en
Publisher:
Release Date :

Stochastic Processes Physics And Geometry written by Sergio Albeverio and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Stochastic Processes Physics And Geometry New Interplays I

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Author : Sergio Albeverio
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Stochastic Processes Physics And Geometry New Interplays I written by Sergio Albeverio 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 2000 with Mathematics categories.

A selection of 21 contributions from invited speakers treat advanced topics at the interface between mathematics and physics. Most are high-level research papers, but some overview their topics, among which are growth and saturation in random media, the maximal dissipativity of the Dirichlet operator corresponding to the Burgers equation, the square of the self-intersection local time of Brownian motion, the spectral theory of sparse potentials, and diffusions on simple configuration spaces. Additional short contributions pay tribute to Swiss-born physicist Albeverio. A second volume presents selected volunteer papers. There is no index. Annotation copyrighted by Book News, Inc., Portland, OR

Stochastic Processes Physics And Geometry New Interplays Ii

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Author :
language : en
Publisher:
Release Date : 2000

Stochastic Processes Physics And Geometry New Interplays Ii written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Introduction To Stochastic Processes

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Author : Mu-fa Chen
language : en
Publisher: World Scientific
Release Date : 2021-05-25

Introduction To Stochastic Processes written by Mu-fa Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-25 with Mathematics categories.

The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts — Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and studying.In the part on Markov chains, the focus is on the ergodicity. By using the minimal nonnegative solution method, we deal with the recurrence and various types of ergodicity. This is done step by step, from finite state spaces to denumerable state spaces, and from discrete time to continuous time. The methods of proofs adopt modern techniques, such as coupling and duality methods. Some very new results are included, such as the estimate of the spectral gap. The structure and proofs in the first part are rather different from other existing textbooks on Markov chains.In the part on stochastic analysis, we cover the martingale theory and Brownian motions, the stochastic integral and stochastic differential equations with emphasis on one dimension, and the multidimensional stochastic integral and stochastic equation based on semimartingales. We introduce three important topics here: the Feynman-Kac formula, random time transform and Girsanov transform. As an essential application of the probability theory in classical mathematics, we also deal with the famous Brunn-Minkowski inequality in convex geometry.This book also features modern probability theory that is used in different fields, such as MCMC, or even deterministic areas: convex geometry and number theory. It provides a new and direct routine for students going through the classical Markov chains to the modern stochastic analysis.

Stochastic Analysis And Mathematical Physics

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Author : A.B. Cruzeiro
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stochastic Analysis And Mathematical Physics written by A.B. Cruzeiro 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 2012-12-06 with Mathematics categories.

This volume represents the outgrowth of an ongoing workshop on stochastic analysis held in Lisbon. The nine survey articles in the volume extend concepts from classical probability and stochastic processes to a number of areas of mathematical physics. It is a good reference text for researchers and advanced students in the fields of probability, stochastic processes, analysis, geometry, mathematical physics, and physics. Key topics covered include: nonlinear stochastic wave equations, completely positive maps, Mehler-type semigroups on Hilbert spaces, entropic projections, and many others.

Stochastic Processes Physics And Geometry Ii Proceedings Of The Iii International Conference

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Author : Sergio Albeverio
language : en
Publisher: World Scientific
Release Date : 1995-02-17

Stochastic Processes Physics And Geometry Ii Proceedings Of The Iii International Conference written by Sergio Albeverio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-17 with categories.

As was already evident from the previous two meetings, the theory of stochastic processes, the study of geometrical structures, and the investigation of certain physical problems are inter-related. In fact the trend in recent years has been towards stronger interactions between these areas. As a result, a large component of the contributions is concerned with the theory of stochastic processes, quantum theory, and their relations.

Stochastic Processes Physics And Geometry New Interplays I

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Author : Fritz Gesztesy
language : en
Publisher:
Release Date : 2000

Stochastic Processes Physics And Geometry New Interplays I written by Fritz Gesztesy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Quantum Stochastic Processes And Noncommutative Geometry

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Author : Kalyan B. Sinha
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-25

Quantum Stochastic Processes And Noncommutative Geometry written by Kalyan B. Sinha 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 2007-01-25 with Mathematics categories.

The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics.

Stochastic And Integral Geometry

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Author : Rolf Schneider
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-08

Stochastic And Integral Geometry written by Rolf Schneider 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 2008-09-08 with Mathematics categories.

Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.

Stochastic Processes Physics And Geometry

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Author : Sergio Albeverio
language : en
Publisher:
Release Date : 2000

Stochastic Processes Physics And Geometry written by Sergio Albeverio and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematical physics categories.