Path Counting on Tree-like Graphs with a Single Entropic Trap: Critical Behavior and Finite Size Effects

It is known that maximal entropy random walks and partition functions that count long paths on graphs tend to become localized near nodes with a high degree. Here, we revisit the simplest toy model of such a localization: a regular tree of degree <i>p</i> with one special node (“root”) t...

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Bibliographic Details
Main Authors: Alexey V. Gulyaev, Mikhail V. Tamm
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/9/1318