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Invariant Markov Processes Under Lie Group Actions, Liao


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Автор: Liao
Название:  Invariant Markov Processes Under Lie Group Actions
ISBN: 9783319923239
Издательство: Springer
Классификация:



ISBN-10: 3319923234
Обложка/Формат: Hardcover
Страницы: 363
Вес: 0.71 кг.
Дата издания: 2018
Язык: English
Издание: 1st ed. 2018
Иллюстрации: Xiii, 363 p.
Размер: 234 x 156 x 22
Читательская аудитория: General (us: trade)
Основная тема: Probability Theory and Stochastic Processes
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
The purpose of this monograph is to provide a theory of Markov processes that are invariant under the actions of Lie groups, focusing on ways to represent such processes in the spirit of the classical L?vy-Khinchin representation. It interweaves probability theory, topology, and global analysis on manifolds to present the most recent results in a developing area of stochastic analysis. The author’s discussion is structured with three different levels of generality:
—A Markov process in a Lie group G that is invariant under the left (or right) translations
—A Markov process xt in a manifold X that is invariant under the transitive action of a Lie group G on X
—A Markov process xt invariant under the non-transitive action of a Lie group G
A large portion of the text is devoted to the representation of inhomogeneous L?vy processes in Lie groups and homogeneous spaces by a time dependent triple through a martingale property. Preliminary definitions and results in both stochastics and Lie groups are provided in a series of appendices, making the book accessible to those who may be non-specialists in either of these areas.
Invariant Markov Processes Under Lie Group Actions will be of interest to researchers in stochastic analysis and probability theory, and will also appeal to experts in Lie groups, differential geometry, and related topics interested in applications of their own subjects.

Дополнительное описание: Invariant Markov processes under actions of topological groups.- L?vy processes in Lie groups.- L?vy processes in homogeneous spaces.- L?vy processes in compact Lie groups.- Spherical transform and L?vy-Khinchin formula.- Inhomogeneous L?vy processes in L



Markov Chains and Invariant Probabilities

Автор: On?simo Hern?ndez-Lerma; Jean B. Lasserre
Название: Markov Chains and Invariant Probabilities
ISBN: 3034894082 ISBN-13(EAN): 9783034894081
Издательство: Springer
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Цена: 6986.00 р.
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Описание: = {~k` k = 0, 1, ... } with transition probability function (t.pJ.) P(x, B), i.e., P(x, B) := Prob (~k+1 E B I ~k = x) for each x E X, B E B, and k = 0,1, .... is said to be stable if there exists a probability measure (p.m.) /.l on B such that (*) VB EB. /.l(B) = Ix /.l(dx) P(x, B) If (*) holds then /.l is called an invariant p.m. for the Me ~.

Invariant Random Fields on Spaces with a Group Action

Автор: Anatoliy Malyarenko; Nicolai Leonenko
Название: Invariant Random Fields on Spaces with a Group Action
ISBN: 3642444504 ISBN-13(EAN): 9783642444500
Издательство: Springer
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Цена: 11872.00 р.
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Описание: This book unifies much research scattered in the literature, and introduces new results first proved by the author. Also presents practical applications, in such highly interesting areas as approximation theory, cosmology and earthquake engineering.

Arthur`s Invariant Trace Formula and Comparison of Inner Forms

Автор: Flicker
Название: Arthur`s Invariant Trace Formula and Comparison of Inner Forms
ISBN: 3319315919 ISBN-13(EAN): 9783319315911
Издательство: Springer
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Цена: 15233.00 р.
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Описание: This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details.

The book begins with a brief overview of Arthur’s work and a proof of the correspondence between GL(n) and its inner forms in general. Subsequent chapters develop the invariant trace formula in a form fit for applications, starting with Arthur’s proof of the basic, non-invariant trace formula, followed by a study of the non-invariance of the terms in the basic trace formula, and, finally, an in-depth look at the development of the invariant formula. The final chapter illustrates the use of the formula by comparing it for G’ = GL(n) and its inner form G< and for functions with matching orbital integrals.
Arthur’s Invariant Trace Formula and Comparison of Inner Forms will appeal to advanced graduate students, researchers, and others interested in automorphic forms and trace formulae. Additionally, it can be used as a supplemental text in graduate courses on representation theory.
Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 0387949259 ISBN-13(EAN): 9780387949253
Издательство: Springer
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Цена: 18167.00 р.
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Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 1461273072 ISBN-13(EAN): 9781461273073
Издательство: Springer
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Цена: 6986.00 р.
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Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.

Invariant Probabilities of Transition Functions

Автор: Radu Zaharopol
Название: Invariant Probabilities of Transition Functions
ISBN: 3319057227 ISBN-13(EAN): 9783319057224
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book.

Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set

Автор: Karsten Keller
Название: Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
ISBN: 3540674349 ISBN-13(EAN): 9783540674344
Издательство: Springer
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Цена: 6282.00 р.
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Описание: In this text on combinatorics of quadratic holomorphic dynamics, the conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets which is built on Thurston`s concept of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map.

Computational Invariant Theory

Автор: Harm Derksen; Gregor Kemper
Название: Computational Invariant Theory
ISBN: 366248420X ISBN-13(EAN): 9783662484203
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Finally, the book contains a chapter on applications of invariant theory, covering fields as disparate as graph theory, coding theory, dynamical systems, and computer vision.The book is intended for postgraduate students as well as researchers in geometry, computer algebra, and, of course, invariant theory.

Algebraic Homogeneous Spaces and Invariant Theory

Автор: Frank D. Grosshans
Название: Algebraic Homogeneous Spaces and Invariant Theory
ISBN: 3540636285 ISBN-13(EAN): 9783540636281
Издательство: Springer
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Цена: 4890.00 р.
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Описание: A review of algebraic homogenous spaces and invariant theory, this work includes examination of observable subgroups, the transfer principle, and invariants of maximal unipotent subgroups.

Self-Dual Codes and Invariant Theory

Автор: Gabriele Nebe; Eric M. Rains; Neil J. A. Sloane
Название: Self-Dual Codes and Invariant Theory
ISBN: 3642068014 ISBN-13(EAN): 9783642068010
Издательство: Springer
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Цена: 21661.00 р.
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Описание: One of the most remarkable theorems in coding theory is Gleason`s 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. This book develops a new theory which is powerful enough to include all the earlier generalizations. It is also in part an extensive encyclopedia listing the different types of self-dual codes and their properties.


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