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Séminaire de Probabilités L

  • Book
  • © 2019

Overview

Editors:
  1. Catherine Donati-Martin

    1. Laboratoire de Mathématiques de Versailles, Université de Versailles-St-Quentin, Versailles, France

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  2. Antoine Lejay

    1. Institut Elie Cartan de Lorraine, Vandoeuvre-lès-Nancy, France

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  3. Alain Rouault

    1. Laboratoire de Mathématiques de Versailles, Université de Versailles-St-Quentin, Versailles, France

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  • Features contributions on state-of-the-art research in probability
  • Covers mainstream domains
  • Includes accessible presentations of classical results

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2252)

Part of the book sub series: Séminaire de Probabilités (SEMPROBAB)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-viii
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  2. Part I

    1. Front Matter

      Pages 1-1
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    2. Un témoignage

      • Michel Émery
      Pages 3-4

    3. Un dimanche de juin avec Jacques

      • Nathanaël Enriquez
      Pages 5-7

    4. Mosaïque de Poisson-Voronoi sur une surface

      • Pierre Calka, Aurélie Chapron, Nathanaël Enriquez
      Pages 9-16

    5. Sur le retournement du temps

      • Sonia Fourati
      Pages 17-22

    6. La martingale d’Azéma

      • Catherine Rainer
      Pages 23-29

  3. Regular Contributions

    1. Front Matter

      Pages 31-31
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    2. Complementability and Maximality in Different Contexts: Ergodic Theory, Brownian and Poly-Adic Filtrations

      • Christophe Leuridan
      Pages 33-82

    3. Uniform Entropy Scalings of Filtrations

      • Stéphane Laurent
      Pages 83-126

    4. Solving Rough Differential Equations with the Theory of Regularity Structures

      • Antoine Brault
      Pages 127-164

    5. On the Euler–Maruyama Scheme for Degenerate Stochastic Differential Equations with Non-sticky Condition

      • Dai Taguchi, Akihiro Tanaka
      Pages 165-185

    6. On a Construction of Strong Solutions for Stochastic Differential Equations with Non-Lipschitz Coefficients: A Priori Estimates Approach

      • Toshiki Okumura
      Pages 187-219

    7. Heat Kernel Coupled with Geometric Flow and Ricci Flow

      • Koléhè A. Coulibaly-Pasquier
      Pages 221-256

    8. Scaled Penalization of Brownian Motion with Drift and the Brownian Ascent

      • Hugo Panzo
      Pages 257-300

    9. Interlacing Diffusions

      • Theodoros Assiotis, Neil O’Connell, Jon Warren
      Pages 301-380

    10. Brownian Sheet Indexed by \(\mathbb R^N\): Local Time and Bubbles

      • Marguerite Zani, Wei Zhou
      Pages 381-403

    11. Mod-ϕ Convergence, II: Estimates on the Speed of Convergence

      • Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali
      Pages 405-477

    12. Random Flows Defined by Markov Loops

      • Yves Le Jan
      Pages 479-486

    13. Brownian Winding Fields

      • Yves Le Jan
      Pages 487-492
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Keywords

About this book

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. 

Editors and Affiliations

  • Laboratoire de Mathématiques de Versailles, Université de Versailles-St-Quentin, Versailles, France

    Catherine Donati-Martin, Alain Rouault

  • Institut Elie Cartan de Lorraine, Vandoeuvre-lès-Nancy, France

    Antoine Lejay

Bibliographic Information

  • Book Title: Séminaire de Probabilités L

  • Editors: Catherine Donati-Martin, Antoine Lejay, Alain Rouault

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-28535-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Softcover ISBN: 978-3-030-28534-0Published: 02 December 2019

  • eBook ISBN: 978-3-030-28535-7Published: 19 November 2019

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 562

  • Number of Illustrations: 18 b/w illustrations, 20 illustrations in colour

  • Topics: Probability Theory and Stochastic Processes

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