Some Publications:

• Bounds for Kac's Master Equation,  Comunications in Mathematical Physics 209, 2000, 729-755, with Persi Diaconis. pdf-file
• On- and  off-diagonal heat kernel behaviors on certain infinite dimensional local Dirichlet spaces,  American Journal of Mathematics, 122, 2000, 1205-1263.
• On the stability of the behavior of random walks on groups,  Journal of Geometric Analysis 10,  2001, 713-737, with C. Pittet.
• Central Gaussian semigroups of measures with continuous density,  Journal of  Functional  Analysis 186, 2001, 206-268, with A. Bendikov.
• Probability on groups: Random walks and Invariant Diffusions,  Notices of the American Mathematical Society 49,  2001, 968-977.
• On the absolute continuity of Gaussian measures on locally compact groups, Journal of Theoretical Probability 14, 2001, 887-898, with A. Bendikov.
• On the relation between elliptic and parabolic Harnack inequalities,  Annales de l'Institut  Fourier 51,  2001,1437-1481, with W. Hebisch.  zipped-ps-file
• Harnack inequality and hyperbolicity for subelliptic $p$-Laplacians  with applications to Picard type theorems,  Geometric and Functional Analysis 11,  2001, 1139-1191, with Th. Coulhon and I. Holopainen.
• Aspects of Sobolev type inequalities. London Mathematical Society Lecture Notes Series 289, Cambridge University Press, 2002.
• Dirichlet heat kernel in the exterior of a compact set.  Comunnications on Pure and Applied Mathematics 55, 2002, 93-133, with A. Grygor'yan. zipped-ps-file
•  Gaussian bounds for derivatives of central Gaussian semigroups on compact groups, Transactions of the Americam Mathematical Society 354, 2002, 1279-1298, with A. Bendikov.    zipped-ps-file
• Probability on groups: Random walks and invariant diffusions, Notices of  the American Mathematical Society. pdf-file
• Hitting probabilities for Brownian motion on Riemannian manifolds, Journal de Mathématiques Pures et Appliquées 81,  2002, 115-142,  with A. Grigor'yan. zipped-ps-file
• On random walks on wreath products, The Annals of Probability 30,  2002, 948-977,  with C. Pittet. zipped-ps-file
• Some dichotomy results for central Gaussian convolution semigroups on compact groups, Probability Theory and Related Fields 124, 2002, 561-573, with A. Bendikov.
• Random walks on abelian-by-cyclic groups, Proceedings of the American Mathematical Society 131, 2002, 1071-1079, with C. Pittet. zipped-ps-file
• Invariant local Dirichlet forms on locally compact groups. Ann. Fac. Sci. Toulouse Math. (6) 11 (2002), no. 3, 303--349. With A. Bendikov.
  
• On the hypoellipticity of sub-Laplacians on infinite dimensional compact groups, Forum Mathematicum 15, 2003, 135-163, with A. Bendikov.
• On the sample paths of Brownian motions on compact infinite dimensional groups,  The Annals of Probability 31 (2003), 1464--1493. With A. Bendikov.  pdf-file
• Brownian motions on compact groups of infinite dimension. Heat kernels and analysis on manifolds, graphs, and metric spaces (Paris, 2002), 41--63, Contemp. Math., 338, Amer. Math. Soc., Providence, RI, 2003. With A. Bendikov.
  
• Central Gaussian convolution semigroups on compact groups: a survey. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6 (2003), no. 4, 629--659. With A Bendikov.
• Random walks on finite rank solvable groups. J. Eur. Math. Soc. (JEMS) 5 (2003), no. 4, 313--342. With C. Pittet.