BALANCED EXCITED RANDOM WALK IN TWO DIMENSIONS
成果类型：
Article
署名作者：
Angel, Omer; Holmes, Mark; Ramirez, Alejandro
署名单位：
University of British Columbia; University of Melbourne; New York University; NYU Shanghai; Pontificia Universidad Catolica de Chile
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/23-AOP1622
发表日期：
2023
页码：
1421-1448
关键词：
摘要：
We give nontrivial upper and lower bounds on the range of the so-called Balanced Excited Random Walk in two dimensions and verify a conjecture of Benjamini, Kozma and Schapira. To the best of our knowledge, these are the first nontrivial results for this two-dimensional model.