Diffusion on Fractals Lectures on Probability Theory and Statistics, Ecole d'´ eté de Probabilités de Saint-flour XXV -1995, Lecture Notes Math, pp.1690-1691, 1998. ,
Manifolds and graphs with slow heat kernel decay, Inventiones Mathematicae, vol.144, issue.3, pp.609-649, 2001. ,
DOI : 10.1007/s002220100139
Analysis on infinite graphs with regular volume growth, JE, vol.207018, issue.17, 1997. ,
Grigor'yan, Random walks on graphs with regular volume growth, Geometry and Functional Analysis, pp.656-701, 1998. ,
Heat kernels and spectral theory, 1989. ,
DOI : 10.1017/CBO9780511566158
Heat kernel bounds, conservation of probability and the Feller property, J. d'Analyse Math. 58, pp.99-119, 1992. ,
Parabolic Harnack inequality and estimates of Markov chains on graphs, Revista Matem??tica Iberoamericana, vol.1, pp.181-232, 1999. ,
DOI : 10.4171/RMI/254
A new proof of the Moser's parabolic Harnack inequality using the old ideas of Nash, Arch. Rat. Mech. Anal, pp.96-327, 1986. ,
The heat equation on non-compact Riemannian manifolds, Russian) Matem. Sbornik, pp.55-871, 1991. ,
Heat kernels on manifolds, graphs and fractals, Prog. in Math, vol.201, pp.393-405, 2001. ,
Sub-Gaussian estimates of heat kernels on infinite graphs, Duke Math, J, vol.109, issue.3, pp.452-510, 2001. ,
Harnack inequalities and sub-Gaussian estimates for random walks, Math. Ann, pp.324-521, 2002. ,
Groups of polynomial growth and expanding maps, Publications math??matiques de l'IH??S, vol.2, issue.1, pp.57-73, 1981. ,
DOI : 10.1007/BF02698687
Heat kernel estimates for symmetric random walks ona class of fractal graphs and stability under rough isometries ,
Sur les liens entre in??galit??s de Harnack elliptiques et paraboliques, Annales de l???institut Fourier, vol.51, issue.5, pp.1437-1481, 2001. ,
DOI : 10.5802/aif.1861
On the parabolic kernel of the Schr??dinger operator, Acta Mathematica, vol.156, issue.0, pp.153-201, 1986. ,
DOI : 10.1007/BF02399203
On Harnack's theorem for elliptic differential equations, Communications on Pure and Applied Mathematics, vol.13, issue.3, pp.101-134, 1964. ,
DOI : 10.1002/cpa.3160140329
On a pointwise estimate for parabolic differential equations, Communications on Pure and Applied Mathematics, vol.20, issue.5, pp.727-740, 1971. ,
DOI : 10.1002/cpa.3160240507
Volume and time doubling of graphs and random walks: The strongly recurrent case, Communications on Pure and Applied Mathematics, vol.26, issue.8, pp.975-1018, 2001. ,
DOI : 10.1002/cpa.1015
Varopoulos, Hardy-Littlewood theory for semigroups, J. Functional Analysis, vol.63, pp.215-239, 1985. ,
Analysis and geometry on Groups, 1993. ,
Random walks on infinite graphs and groups, 2000. ,
DOI : 10.1017/CBO9780511470967