| | |
| | |
Stat |
Members: 3645 Articles: 2'501'711 Articles rated: 2609
20 April 2024 |
|
| | | |
|
Article overview
| |
|
Three Favorite Edges Occurs Infinitely Often for One-Dimensional Simple Random Walk | Chen-Xu Hao
; Ze-Chun Hu
; Ting Ma
; Renming Song
; | Date: |
1 Nov 2021 | Abstract: | For a one-dimensional simple random walk $(S_n)$, an edge $x$ (between points
$x-1$ and $x$) is called a favorite edge at time $n$ if its local time at $n$
achieves the maximum among all edges. In this paper, we show that with
probability 1 three favorite edges occurs infinitely often. Our work is
inspired by Tóth and Werner [Combin. Probab. Comput. {f 6} (1997)
359-369], and Ding and Shen [Ann. Probab. {f 46} (2018) 2545-2561], disproves
a conjecture mentioned in Remark 1 on page 368 of Tóth and Werner [Combin.
Probab. Comput. {f 6}(1997) 359-369]. | Source: | arXiv, 2111.00688 | 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:
| |