%0 Journal Article %1 barlow2005characterization %A Barlow, Martin T. %A Coulhon, Thierry %A Kumagai, Takashi %D 2005 %J Comm. Pure Appl. Math. %K fractal_sets heat_kernel random_walk recurrence spectral_theory sub_Gaussian transition_probabilities %N 12 %P 1642--1677 %R 10.1002/cpa.20091 %T Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs %U http://dx.doi.org/10.1002/cpa.20091 %V 58 %X Sub-Gaussian estimates for random walks are typical of fractal graphs. We characterize them in the strongly recurrent case, in terms of resistance estimates only, without assuming elliptic Harnack inequalities.

@article{barlow2005characterization, abstract = {Sub-Gaussian estimates for random walks are typical of fractal graphs. We characterize them in the strongly recurrent case, in terms of resistance estimates only, without assuming elliptic Harnack inequalities.}, added-at = {2013-11-10T00:46:09.000+0100}, author = {Barlow, Martin T. and Coulhon, Thierry and Kumagai, Takashi}, biburl = {https://www.bibsonomy.org/bibtex/2d3e618b711e99dfbc281e4d027bc4dbe/peter.ralph}, coden = {CPAMA}, doi = {10.1002/cpa.20091}, fjournal = {Communications on Pure and Applied Mathematics}, interhash = {a2742380944c8bf8030eaff4b0eaf2aa}, intrahash = {d3e618b711e99dfbc281e4d027bc4dbe}, issn = {0010-3640}, journal = {Comm. Pure Appl. Math.}, keywords = {fractal_sets heat_kernel random_walk recurrence spectral_theory sub_Gaussian transition_probabilities}, mrclass = {60J45 (60C05 60G50 60J10)}, mrnumber = {2177164 (2006i:60106)}, mrreviewer = {Endre Cs{\'a}ki}, number = 12, pages = {1642--1677}, timestamp = {2013-11-10T00:46:09.000+0100}, title = {Characterization of sub-{Gaussian} heat kernel estimates on strongly recurrent graphs}, url = {http://dx.doi.org/10.1002/cpa.20091}, volume = 58, year = 2005 }