Graphs and Discrete Dirichlet Spaces, Keller Matthias, Lenz Daniel, Wojciechowski Radoslaw K.
Автор: Bouleau Nicolas Название: Dirichlet Forms Methods for Poisson Point Measures and Levy ISBN: 3319258184 ISBN-13(EAN): 9783319258188 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Thanks to the theory of Dirichlet forms, the authors develop a mathematical tool for a quite general class of random Poisson measures and significantly simplify computations of Malliavin matrices of Poisson functionals.
Автор: Shui Feng Название: The Poisson-Dirichlet Distribution and Related Topics ISBN: 3642111939 ISBN-13(EAN): 9783642111938 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Poisson-Dirichlet distribution, a probability on the in?nite-dimensional s- plex, was introduced by Kingman in 1975. Since then it has found applications in Bayesian statistics, combinatorics, number theory, nance, macroeconomics, physics and, especially, in population genetics. Several books have appeared that contain sections or chapters on the Poisson-Dirichlet distribution. These include, but are not limited to, Aldous 2], Arratia, Barbour and Tavare 9], Ewens 67], Kingman 127, 130], and Pitman 155]. This book is the ?rst that focuses solely on the Poisson-Dirichlet distribution and some closely related topics. The purposes of this book are to introduce the Poisson-Dirichlet distribution, to study its connections to stochastic dynamics, and to give an up-to-date account of results concerning its various asymptotic behaviors. The book is divided into two parts. Part I, consisting of Chapters 1-6, includes a variety of models invo- ing the Poisson-Dirichlet distribution, and the central scheme is the uni?cation of the Poisson-Dirichlet distribution, the urn structure, the coalescent, and the evo- tionary dynamics through the grand particle systems of Donnelly and Kurtz. Part II discusses recent progress in the study of asymptotic behaviors of the Poisson- Dirichlet distribution, including uctuation theorems and large deviations. The or- inal Poisson-Dirichlet distribution contains one parameter denoted by?. We will also discuss an extension of this to a two-parameter distribution, where an ad- tional parameter? is needed.
Описание: A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Thanks to the theory of Dirichlet forms, the authors develop a mathematical tool for a quite general class of random Poisson measures and significantly simplify computations of Malliavin matrices of Poisson functionals.
Автор: El-Fallah Название: A Primer on the Dirichlet Space ISBN: 1107047528 ISBN-13(EAN): 9781107047525 Издательство: Cambridge Academ Рейтинг: Цена: 10613.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This systematic account of the Dirichlet space provides an introduction that will be valuable to researchers in function theory, assembling results previously only found in scattered research articles. Containing more than 100 exercises, the book is also suitable for self-study by graduate students in mathematics.
Автор: Gianfausto Dell`Antonio; E. Fabes; M. Fukushima; U Название: Dirichlet Forms ISBN: 3540574212 ISBN-13(EAN): 9783540574217 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An exploration of the theory of Dirichlet forms, which covers recent research developments both in theoretical foundations and in such applications as stochastic processes, regularity problems, the hypercontractivity of semigroups and logarithmic Sobolev inequalities.
Автор: Yoichi Oshima Название: Semi-Dirichlet Forms and Markov Processes ISBN: 3110302004 ISBN-13(EAN): 9783110302004 Издательство: Walter de Gruyter Рейтинг: Цена: 18586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Thisbook deals with analytic treatments of Markov processes. Symmetric Dirichlet forms andtheir associated Markov processes are important and powerful toolsin the theory of Markovprocesses and their applications. The theoryis well studied and used in various fields. In this monograph, we intend togeneralize the theory to non-symmetric and time dependent semi-Dirichlet forms. By this generalization, we can cover the wide class of Markov processes and analytic theory which do not possess the dualMarkov processes. In particular, under the semi-Dirichlet form setting, the stochastic calculus is not well established yet.In this monograph, we intend to give an introduction to such calculus. Furthermore, basic examples different from the symmetric cases are given.Thetext is writtenfor graduate students, but alsoresearchers.
Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations. These methods are well-established and belong to a fast developing area. In this volume, the reader will find a brief historical overview, the basic results of the general theory of domain and space decomposition methods as well as the description and analysis of practical DD algorithms for parallel computing. It is typical to find in this volume that most of the presented DD solvers belong to the family of fast algorithms, where each component is efficient with respect to the arithmetical work. Readers will discover new analysis results for both the well-known basic DD solvers and some DD methods recently devised by the authors, e.g., for elliptic problems with varying chaotically piecewise constant orthotropism without restrictions on the finite aspect ratios.
The hp finite element discretizations, in particular, by spectral elements of elliptic equations are given significant attention in current research and applications. This volume is the first to feature all components of Dirichlet-Dirichlet-type DD solvers for hp discretizations devised as numerical procedures which result in DD solvers that are almost optimal with respect to the computational work. The most important DD solvers are presented in the matrix/vector form algorithms that are convenient for practical use.
Автор: Yamato Hajime Название: Statistics Based on Dirichlet Processes and Related Topics ISBN: 9811569746 ISBN-13(EAN): 9789811569746 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book focuses on the properties associated with the Dirichlet process, describing its use a priori for nonparametric inference and the Bayes estimate to obtain limits for the estimable parameter.
Описание: This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation.
Описание: This monograph explores recent advances in the study of the Dirichlet problem with L2-boundary data, featuring the use of weighted Sobolev spaces. Some basic knowledge of Sobolev spaces and measure theory is required.
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