We prove an integral maximum principle for random walks on graphs, and give several applications to pointwise estimates of their transition probabilities, including the time-dependent case.
Publié le : 2005-12-14
Classification:
Discrete integral maximum principle,
random walks on graphs,
upper and lower estimates for a discrete heat kernel,
time-dependent random walks,
random walks on percolation clusters,
60J15,
35B50,
39A12
@article{1140727073,
author = {Coulhon, Thierry and Grigor'yan, Alexander and Zucca, Fabio},
title = {The discrete integral maximum principle and its applications},
journal = {Tohoku Math. J. (2)},
volume = {57},
number = {1},
year = {2005},
pages = { 559-587},
language = {en},
url = {http://dml.mathdoc.fr/item/1140727073}
}
Coulhon, Thierry; Grigor'yan, Alexander; Zucca, Fabio. The discrete integral maximum principle and its applications. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp. 559-587. http://gdmltest.u-ga.fr/item/1140727073/