Semi-Dirichlet Forms and Markov Processes, Yoichi Oshima

Автор: Yoichi Oshima
Название: Semi-Dirichlet Forms and Markov Processes
ISBN: 3110302004 ISBN-13(EAN): 9783110302004
Издательство: Walter de Gruyter
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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.

Автор: Hans Maa?
Название: Siegel`s Modular Forms and Dirichlet Series
ISBN: 3540055630 ISBN-13(EAN): 9783540055631
Издательство: Springer
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Описание: "Siegel`s Modular Forms and Dirichlet Series".

Автор: Bouleau Nicolas
Название: Dirichlet Forms Methods for Poisson Point Measures and Levy
ISBN: 3319258184 ISBN-13(EAN): 9783319258188
Издательство: Springer
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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: Zhi-Ming Ma; Michael R?ckner
Название: Introduction to the Theory of (Non-Symmetric) Dirichlet Forms
ISBN: 3540558489 ISBN-13(EAN): 9783540558484
Издательство: Springer
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Автор: A. Weil
Название: Dirichlet Series and Automorphic Forms
ISBN: 3540053824 ISBN-13(EAN): 9783540053828
Издательство: Springer
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Цена: 23250.00 T
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Автор: Goro Shimura
Название: Elementary Dirichlet Series and Modular Forms
ISBN: 1441924787 ISBN-13(EAN): 9781441924780
Издательство: Springer
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Цена: 46570.00 T
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Описание: A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new perspectives. Also, the author may be encouraged to include new results, provided that they help the reader gain newinsightsandarepresentedalongwithknownoldresultsinaclearexposition. Itis with this philosophy that Iwrite this volume. The two subjects, Dirichlet series and modular forms, are traditional, but I treat them in both orthodox and unorthodox ways. However, I try to make the book accessible to those who are not familiar with such topics, by including plenty of expository material. More speci?c descriptions of the contents will be given in the Introduction. To some extent, this book has a supplementary nature to my previous book Introduction to the Arithmetic Theory of Automorphic Functions, published by Princeton University Press in 1971, though I do not write the present book with that intent. While the 1971 book grew out of my lectures in various places, the essential points of this new book have never been presented publicly or privately. I hope that it will draw an audience as large as that of the previous book.

Автор: Gianfausto Dell`Antonio; E. Fabes; M. Fukushima; U
Название: Dirichlet Forms
ISBN: 3540574212 ISBN-13(EAN): 9783540574217
Издательство: Springer
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Цена: 32560.00 T
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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: R. Courant
Название: Dirichlet`s Principle, Conformal Mapping, and Minimal Surfaces
ISBN: 1461299195 ISBN-13(EAN): 9781461299196
Издательство: Springer
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Описание: It has always been a temptation for mathematicians to present the crystallized product of their thoughts as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods of more general significance. The present book deals with subjects of this category. It is written in a style which, as the author hopes, expresses adequately the balance and tension between the individuality of mathematical objects and the generality of mathematical methods. The author has been interested in Dirichlet's Principle and its various applications since his days as a student under David Hilbert. Plans for writing a book on these topics were revived when Jesse Douglas' work suggested to him a close connection between Dirichlet's Principle and basic problems concerning minimal sur- faces. But war work and other duties intervened; even now, after much delay, the book appears in a much less polished and complete form than the author would have liked.

Автор: Tom M. Apostol
Название: Modular Functions and Dirichlet Series in Number Theory
ISBN: 1461269784 ISBN-13(EAN): 9781461269786
Издательство: Springer
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Описание: A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function.

Автор: Shui Feng
Название: The Poisson-Dirichlet Distribution and Related Topics
ISBN: 3642111939 ISBN-13(EAN): 9783642111938
Издательство: Springer
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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.