Parabolic Harnack inequality and estimates of Markov chains on graphs.

Thierry Delmotte

Revista Matemática Iberoamericana (1999)

  • Volume: 15, Issue: 1, page 181-232
  • ISSN: 0213-2230

Abstract

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On a graph, we give a characterization of a parabolic Harnack inequality and Gaussian estimates for reversible Markov chains by geometric properties (volume regularity and Poincaré inequality).

How to cite

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Delmotte, Thierry. "Parabolic Harnack inequality and estimates of Markov chains on graphs.." Revista Matemática Iberoamericana 15.1 (1999): 181-232. <http://eudml.org/doc/39568>.

@article{Delmotte1999,
abstract = {On a graph, we give a characterization of a parabolic Harnack inequality and Gaussian estimates for reversible Markov chains by geometric properties (volume regularity and Poincaré inequality).},
author = {Delmotte, Thierry},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones parabólicas; Desigualdades; Cadenas de Markov; Estimación; Teoría de grafos; parabolic Harnack inequality; random walk; Poincaré inequality; reversible Markov chain; Gaussian estimate},
language = {eng},
number = {1},
pages = {181-232},
title = {Parabolic Harnack inequality and estimates of Markov chains on graphs.},
url = {http://eudml.org/doc/39568},
volume = {15},
year = {1999},
}

TY - JOUR
AU - Delmotte, Thierry
TI - Parabolic Harnack inequality and estimates of Markov chains on graphs.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 1
SP - 181
EP - 232
AB - On a graph, we give a characterization of a parabolic Harnack inequality and Gaussian estimates for reversible Markov chains by geometric properties (volume regularity and Poincaré inequality).
LA - eng
KW - Ecuaciones parabólicas; Desigualdades; Cadenas de Markov; Estimación; Teoría de grafos; parabolic Harnack inequality; random walk; Poincaré inequality; reversible Markov chain; Gaussian estimate
UR - http://eudml.org/doc/39568
ER -

Citations in EuDML Documents

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  1. Amir Dembo, Jean-Dominique Deuschel, Aging for interacting diffusion processes
  2. Daniel Marahrens, Felix Otto, On annealed elliptic Green's function estimates
  3. Pascal Auscher, Thierry Coulhon, Gaussian lower bounds for random walks from elliptic regularity
  4. Sébastien Blachère, Harmonic functions on annuli of graphs
  5. Thierry Delmotte, Harnack inequalities on graphs
  6. Emmanuel Russ, H 1 -BMO duality on graphs
  7. András Telcs, Random walk on graphs with regular resistance and volume growth
  8. Waldemar Hebisch, Laurent Saloff-Coste, On the relation between elliptic and parabolic Harnack inequalities
  9. N. Berger, M. Biskup, C. E. Hoffman, G. Kozma, Anomalous heat-kernel decay for random walk among bounded random conductances

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