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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 p with one special node (“root”) that has a degree di...

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Detalles Bibliográficos
Autores principales: Gulyaev, Alexey V., Tamm, Mikhail V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10529157/
https://www.ncbi.nlm.nih.gov/pubmed/37761617
http://dx.doi.org/10.3390/e25091318