Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
Please make all selections above before adding to cart
Moderate Deviations for the Range of Planar Random Walks
Available Formats:
Electronic ISBN: 978-1-4704-0535-9
Product Code: MEMO/198/929.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $39.60
Click above image for expanded view
Moderate Deviations for the Range of Planar Random Walks
Available Formats:
| Electronic ISBN: | 978-1-4704-0535-9 |
| Product Code: | MEMO/198/929.E |
| List Price: | $66.00 |
| MAA Member Price: | $59.40 |
| AMS Member Price: | $39.60 |
-
Book DetailsMemoirs of the American Mathematical SocietyVolume: 198; 2009; 82 ppMSC: Primary 60;
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.
-
Table of Contents
-
Chapters
-
Chapter 1. Introduction
-
Chapter 2. History
-
Chapter 3. Overview
-
Chapter 4. Preliminaries
-
Chapter 5. Moments of the range
-
Chapter 6. Moderate deviations for $R_n - \mathbb {E}R_n$
-
Chapter 7. Moderate deviations for $\mathbb {E}R_n - R_n$
-
Chapter 8. Exponential asymptotics for the smoothed range
-
Chapter 9. Exponential approximation
-
Chapter 10. Laws of the iterated logarithm
-
-
RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Volume: 198; 2009; 82 pp
MSC: Primary 60;
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.
-
Chapters
-
Chapter 1. Introduction
-
Chapter 2. History
-
Chapter 3. Overview
-
Chapter 4. Preliminaries
-
Chapter 5. Moments of the range
-
Chapter 6. Moderate deviations for $R_n - \mathbb {E}R_n$
-
Chapter 7. Moderate deviations for $\mathbb {E}R_n - R_n$
-
Chapter 8. Exponential asymptotics for the smoothed range
-
Chapter 9. Exponential approximation
-
Chapter 10. Laws of the iterated logarithm
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.