|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
20 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Pearson Walk with Shrinking Steps in Two Dimensions | | C. A. Serino
; S. Redner
; | | Date: |
5 Oct 2009 | | Abstract: | We study the shrinking Pearson random walk in two dimensions and greater, in
which the direction of the Nth is random and its length equals lambda^{N-1},
with lambda<1. As lambda increases past a critical value lambda_c, the endpoint
distribution in two dimensions, P(r), changes from having a global maximum away
from the origin to being peaked at the origin. The probability distribution for
a single coordinate, P(x), undergoes a similar transition, but exhibits
multiple maxima on a fine length scale for lambda close to lambda_c. We
numerically determine P(r) and P(x) by applying a known algorithm that
accurately inverts the exact Bessel function product form of the Fourier
transform for the probability distributions. | | Source: | arXiv, 0910.0852 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER