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The range of once‐reinforced random walk in one dimension
Author(s) -
Pfaffelhuber Peter,
Stiefel Jakob
Publication year - 2021
Publication title -
random structures and algorithms
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.314
H-Index - 69
eISSN - 1098-2418
pISSN - 1042-9832
DOI - 10.1002/rsa.20948
Subject(s) - random walk , dimension (graph theory) , range (aeronautics) , statistical physics , limit (mathematics) , mathematics , heterogeneous random walk in one dimension , statistics , mathematical analysis , physics , combinatorics , engineering , aerospace engineering
We study once‐reinforced random walk on Z . For this model, we derive limit results on all moments of its range using Tauberian theory.