Invariant Markov Processes Under Lie Group Actions, Ming Liao
Автор: On?simo Hern?ndez-Lerma; Jean B. Lasserre Название: Markov Chains and Invariant Probabilities ISBN: 3034894082 ISBN-13(EAN): 9783034894081 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 ~.
Автор: Radu Zaharopol Название: Invariant Probabilities of Transition Functions ISBN: 3319057227 ISBN-13(EAN): 9783319057224 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Liao Название: Invariant Markov Processes Under Lie Group Actions ISBN: 3319923234 ISBN-13(EAN): 9783319923239 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Anatoliy Malyarenko; Nicolai Leonenko Название: Invariant Random Fields on Spaces with a Group Action ISBN: 3642444504 ISBN-13(EAN): 9783642444500 Издательство: Springer Рейтинг: Цена: 11872.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
Автор: Hasi Wulan; Kehe Zhu Название: Mobius Invariant QK Spaces ISBN: 3319582852 ISBN-13(EAN): 9783319582856 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph summarizes the recent major achievements in Mobius invariant QK spaces. Featuring a wide range of subjects, including an overview of QK spaces, QK-Teichmuller spaces, K-Carleson measures and analysis of weight functions, this book serves as an important resource for analysts interested in this area of complex analysis.
Автор: ?lex Haro; Marta Canadell; Jordi-Lluis Figueras; A Название: The Parameterization Method for Invariant Manifolds ISBN: 3319296604 ISBN-13(EAN): 9783319296609 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds.
Автор: Wallach, Nolan R. Название: Geometric invariant theory ISBN: 3319659057 ISBN-13(EAN): 9783319659053 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. It contains two chapters developing material in complex and real algebraic geometry and algebraic groups that are difficult to find in the literature.
Автор: Harm Derksen; Gregor Kemper Название: Computational Invariant Theory ISBN: 366248420X ISBN-13(EAN): 9783662484203 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
Автор: Micka?l D. Chekroun; Honghu Liu; Shouhong Wang Название: Approximation of Stochastic Invariant Manifolds ISBN: 3319124951 ISBN-13(EAN): 9783319124957 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations.
Автор: Flicker Yuval Z. Название: Arthur`s Invariant Trace Formula and Comparison of Inner Forms ISBN: 3319810731 ISBN-13(EAN): 9783319810737 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
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