Seminaire de Probabilites XXXV

Seminaire de Probabilites XXXV PDF Author: J. Azema
Publisher: Springer
ISBN: 3540446710
Category : Mathematics
Languages : en
Pages : 434

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Book Description
Annotation. Researchers and graduate students in the theory of stochastic processes will find in this 35th volume some thirty articles on martingale theory, martingales and finance, analytical inequalities and semigroups, stochastic differential equations, functionals of Brownian motion and of Lévy processes. Ledoux's article contains a self-contained introduction to the use of semigroups in spectral gaps and logarithmic Sobolev inequalities; the contribution by Emery and Schachermayer includes an exposition for probabilists of Vershik's theory of backward discrete filtrations.

Seminaire de Probabilites XXXV

Seminaire de Probabilites XXXV PDF Author: J. Azema
Publisher: Springer
ISBN: 3540446710
Category : Mathematics
Languages : en
Pages : 434

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Book Description
Annotation. Researchers and graduate students in the theory of stochastic processes will find in this 35th volume some thirty articles on martingale theory, martingales and finance, analytical inequalities and semigroups, stochastic differential equations, functionals of Brownian motion and of Lévy processes. Ledoux's article contains a self-contained introduction to the use of semigroups in spectral gaps and logarithmic Sobolev inequalities; the contribution by Emery and Schachermayer includes an exposition for probabilists of Vershik's theory of backward discrete filtrations.

Séminaire de Probabilités XLI

Séminaire de Probabilités XLI PDF Author: Catherine Donati-Martin
Publisher: Springer Science & Business Media
ISBN: 3540779124
Category : Mathematics
Languages : en
Pages : 459

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Book Description
Stochastic processes are as usual the main subject of the Séminaire, with contributions on Brownian motion (fractional or other), Lévy processes, martingales and probabilistic finance. Other probabilistic themes are also present: large random matrices, statistical mechanics. The contributions in this volume provide a sampling of recent results on these topics. All contributions with the exception of two are written in English language.

Séminaire de Probabilités L

Séminaire de Probabilités L PDF Author: Catherine Donati-Martin
Publisher: Springer Nature
ISBN: 3030285359
Category : Mathematics
Languages : en
Pages : 562

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Book Description
This milestone 50th volume of the "Séminaire de Probabilités" pays tribute with a series of memorial texts to one of its former editors, Jacques Azéma, who passed away in January. The founders of the "Séminaire de Strasbourg", which included Jacques Azéma, probably had no idea of the possible longevity and success of the process they initiated in 1967. Continuing in this long tradition, this volume contains contributions on state-of-art research on Brownian filtrations, stochastic differential equations and their applications, regularity structures, quantum diffusion, interlacing diffusions, mod-Ø convergence, Markov soup, stochastic billiards and other current streams of research.

In Memoriam Marc Yor - Séminaire de Probabilités XLVII

In Memoriam Marc Yor - Séminaire de Probabilités XLVII PDF Author: Catherine Donati-Martin
Publisher: Springer
ISBN: 3319185853
Category : Mathematics
Languages : en
Pages : 657

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Book Description
This volume is dedicated to the memory of Marc Yor, who passed away in 2014. The invited contributions by his collaborators and former students bear testament to the value and diversity of his work and of his research focus, which covered broad areas of probability theory. The volume also provides personal recollections about him, and an article on his essential role concerning the Doeblin documents. With contributions by P. Salminen, J-Y. Yen & M. Yor; J. Warren; T. Funaki; J. Pitman& W. Tang; J-F. Le Gall; L. Alili, P. Graczyk & T. Zak; K. Yano & Y. Yano; D. Bakry & O. Zribi; A. Aksamit, T. Choulli & M. Jeanblanc; J. Pitman; J. Obloj, P. Spoida & N. Touzi; P. Biane; J. Najnudel; P. Fitzsimmons, Y. Le Jan & J. Rosen; L.C.G. Rogers & M. Duembgen; E. Azmoodeh, G. Peccati & G. Poly, timP-L Méliot, A. Nikeghbali; P. Baldi; N. Demni, A. Rouault & M. Zani; N. O'Connell; N. Ikeda & H. Matsumoto; A. Comtet & Y. Tourigny; P. Bougerol; L. Chaumont; L. Devroye & G. Letac; D. Stroock and M. Emery.

Seminaire de Probabilites XXXIV

Seminaire de Probabilites XXXIV PDF Author: J. Azema
Publisher: Springer
ISBN: 3540464131
Category : Mathematics
Languages : en
Pages : 441

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Book Description
This volume contains 19 contributions to various subjects in the theory of (commutative and non-commutative) stochastic processes. It also provides a 145-page graduate course on branching and interacting particle systems, with applications to non-linear filtering, by P. del Moral and L. Miclo.

Seminaire de Probabilites XXXI

Seminaire de Probabilites XXXI PDF Author: Jacques Azema
Publisher: Springer
ISBN: 3540683526
Category : Mathematics
Languages : en
Pages : 342

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Book Description
The 31 papers collected here present original research results obtained in 1995-96, on Brownian motion and, more generally, diffusion processes, martingales, Wiener spaces, polymer measures.

Séminaire de Probabilités XXXVI

Séminaire de Probabilités XXXVI PDF Author: Jacques Azéma
Publisher: Springer
ISBN: 3540361073
Category : Mathematics
Languages : en
Pages : 507

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Book Description
The 36th Sminaire de Probabilits contains an advanced course on Logarithmic Sobolev Inequalities by A. Guionnet and B. Zegarlinski, as well as two shorter surveys by L. Pastur and N. O'Connell on the theory of random matrices and their links with stochastic processes. The main themes of the other contributions are Logarithmic Sobolev Inequalities, Stochastic Calculus, Martingale Theory and Filtrations. Besides the traditional readership of the Sminaires, this volume will be useful to researchers in statistical mechanics and mathematical finance.

The Normal Distribution

The Normal Distribution PDF Author: Wlodzimierz Bryc
Publisher: Springer Science & Business Media
ISBN: 1461225604
Category : Mathematics
Languages : en
Pages : 142

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Book Description
This book is a concise presentation of the normal distribution on the real line and its counterparts on more abstract spaces, which we shall call the Gaussian distributions. The material is selected towards presenting characteristic properties, or characterizations, of the normal distribution. There are many such properties and there are numerous rel evant works in the literature. In this book special attention is given to characterizations generated by the so called Maxwell's Theorem of statistical mechanics, which is stated in the introduction as Theorem 0.0.1. These characterizations are of interest both intrin sically, and as techniques that are worth being aware of. The book may also serve as a good introduction to diverse analytic methods of probability theory. We use characteristic functions, tail estimates, and occasionally dive into complex analysis. In the book we also show how the characteristic properties can be used to prove important results about the Gaussian processes and the abstract Gaussian vectors. For instance, in Section 5.4 we present Fernique's beautiful proofs of the zero-one law and of the integrability of abstract Gaussian vectors. The central limit theorem is obtained via characterizations in Section 7.3.

Séminaire de Probabilités XLV

Séminaire de Probabilités XLV PDF Author: Catherine Donati-Martin
Publisher: Springer
ISBN: 3319003216
Category : Mathematics
Languages : en
Pages : 556

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Book Description
The series of advanced courses initiated in Séminaire de Probabilités XXXIII continues with a course by Ivan Nourdin on Gaussian approximations using Malliavin calculus. The Séminaire also occasionally publishes a series of contributions on a unifying subject; in this spirit, selected participants to the September 2011 Conference on Stochastic Filtrations, held in Strasbourg and organized by Michel Émery, have also contributed to the present volume. The rest of the work covers a wide range of topics, such as stochastic calculus and Markov processes, random matrices and free probability, and combinatorial optimization.

Séminaire de Probabilités XLIII

Séminaire de Probabilités XLIII PDF Author: Catherine Donati Martin
Publisher: Springer
ISBN: 3642152171
Category : Mathematics
Languages : en
Pages : 511

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Book Description
This is a new volume of the Séminaire de Probabilités which is now in its 43rd year. Following the tradition, this volume contains about 20 original research and survey articles on topics related to stochastic analysis. It contains an advanced course of J. Picard on the representation formulae for fractional Brownian motion. The regular chapters cover a wide range of themes, such as stochastic calculus and stochastic differential equations, stochastic differential geometry, filtrations, analysis on Wiener space, random matrices and free probability, as well as mathematical finance. Some of the contributions were presented at the Journées de Probabilités held in Poitiers in June 2009.