Memoirs of the American Mathematical Society
2009; 82 pp;
MSC: Primary 60;

Electronic ISBN: 978-1-4704-0535-9
Product Code: MEMO/198/929.E
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Moderate Deviations for the Range of Planar Random Walks

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Richard F. Bass; Xia Chen; Jay Rosen

Given a symmetric random walk in ${\mathbb Z}^2$ with finite second moments, let $R_n$ be the range of the random walk up to time $n$. The authors study moderate deviations for $R_n -{\mathbb E}R_n$ and ${\mathbb E}R_n -R_n$. They also derive the corresponding laws of the iterated logarithm.

Moderate Deviations for the Range of Planar Random Walks

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Title (HTML): Moderate Deviations for the Range of Planar Random Walks

Author(s) (Product display): Richard F. Bass; Xia Chen; Jay Rosen

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Book Series Name: Memoirs of the American Mathematical Society

Publication Month and Year: 2013-03-17

Page Count: 82

Online ISBN 13: 978-1-4704-0535-9

Online ISSN: 0065-9266

Primary MSC: 60

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Contents
- Contents
Abstract
- Abstract
Chapter 1. Introduction
- Chapter 1. Introduction
Chapter 2. History
- Chapter 2. History

Moderate Deviations for the Range of Planar Random Walks

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Table of Contents

Moderate Deviations for the Range of Planar Random Walks

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Contents

Abstract

Chapter 1. Introduction

Chapter 2. History