Gaussian Processes on Trees
eBook - PDF

Gaussian Processes on Trees

From Spin Glasses to Branching Brownian Motion

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Gaussian Processes on Trees

From Spin Glasses to Branching Brownian Motion

About this book

Branching Brownian motion (BBM) is a classical object in probability theory with deep connections to partial differential equations. This book highlights the connection to classical extreme value theory and to the theory of mean-field spin glasses in statistical mechanics. Starting with a concise review of classical extreme value statistics and a basic introduction to mean-field spin glasses, the author then focuses on branching Brownian motion. Here, the classical results of Bramson on the asymptotics of solutions of the F-KPP equation are reviewed in detail and applied to the recent construction of the extremal process of BBM. The extension of these results to branching Brownian motion with variable speed are then explained. As a self-contained exposition that is accessible to graduate students with some background in probability theory, this book makes a good introduction for anyone interested in accessing this exciting field of mathematics.

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Yes, you can access Gaussian Processes on Trees by Anton Bovier in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Table of contents
  7. Preface
  8. Acknowledgements
  9. 1 Extreme Value Theory for iid Sequences
  10. 2 Extremal Processes
  11. 3 Normal Sequences
  12. 4 Spin Glasses
  13. 5 Branching Brownian Motion
  14. 6 Bramson’s Analysis of the F-KPP Equation
  15. 7 The Extremal Process of BBM
  16. 8 Full Extremal Process
  17. 9 Variable Speed BBM
  18. References
  19. Index