Description

Book Synopsis
The emphasis of this book is on discrete models, but the final chapter gives an introduction to the continuous objects: Brownian motion, Brownian loop measures and soups, Schramm-Loewner evolution, and the continuous Gaussian free field. A number of exercises scattered throughout the text will help gain a better understanding of the material.

Table of Contents
  • Markov chains
  • Loop-erased random walk
  • Loop soups
  • Random walk in $\mathbb{Z}$
  • LERW and spanning trees on $\mathbb{Z}^d$
  • Gaussian free field
  • Scaling limits
  • Some background and extra topics
  • Bibliography
  • Index

Random Explorations

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    A Paperback by Gregory F. Lawler

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      Book details

      Publisher American Mathematical Society
      Published 1/30/2023 12:01:00 AM
      ISBN-13 9781470467661
      978-1470467661
      ISBN-10 1470467666

      Description

      Book Synopsis
      The emphasis of this book is on discrete models, but the final chapter gives an introduction to the continuous objects: Brownian motion, Brownian loop measures and soups, Schramm-Loewner evolution, and the continuous Gaussian free field. A number of exercises scattered throughout the text will help gain a better understanding of the material.

      Table of Contents
      • Markov chains
      • Loop-erased random walk
      • Loop soups
      • Random walk in $\mathbb{Z}$
      • LERW and spanning trees on $\mathbb{Z}^d$
      • Gaussian free field
      • Scaling limits
      • Some background and extra topics
      • Bibliography
      • Index

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