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Minimal volume entropy for graphs
Author(s):
Seonhee
Lim
Journal:
Trans. Amer. Math. Soc.
360
(2008),
5089-5100.
MSC (2000):
Primary 37A35, 20E08
Posted:
May 14, 2008
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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.
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Additional Information:
Seonhee
Lim
Affiliation:
Department of Mathematics, Yale University, New Haven, Connecticut 06520-8283 -- and -- ENS-Paris, UMR 8553 CNRS, 45 rue d'Ulm, 75230 Paris Cedex 05, France
Address at time of publication:
Department of Mathematics, Cornell University, 593 Malott Hall, Ithaca, New York 14853-4201
Email:
seonhee.lim@yale.edu, Seonhee.Lim@ens.fr, slim@math.cornell.edu
DOI:
10.1090/S0002-9947-08-04227-X
PII:
S 0002-9947(08)04227-X
Received by editor(s):
June 26, 2005
Received by editor(s) in revised form:
December 3, 2005
Posted:
May 14, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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