Work

Minimal volume entropy for graphs

Year: 2008

Type: article

Abstract: Among the normalized metrics on a graph, we show the existence and the uniqueness of an entropy-minimizing metric, and give explicit formulas for the minimal volume entropy and the metric realizing it. Parmi les distances normalisées sur un graphe, nous montrons l’existence et l’unicité d’une distance qui minimise l’entropie, et nous donnons des formules explicites pour l’entropie volumique minimale et la distance qui la réalise.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/s0002-9947-08-04227-x

Author: Seonhee Lim

Institutions: Centre National de la Recherche Scientifique, Cornell University, École Normale Supérieure - PSL, Yale University, Département de mathématiques et applications

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W1964789892

FWCI: 3.26

Cites: 13

Cited by: 41

Related to: 10