Web page of Romain TESSERA

I am a post-doc in mathematics in Vanderbilt University. Here is a link to my french web page www.normalesup.org/~tessera.

r-o-m-a-i-n-DOT-a-DOT-t-e-s-s-e-r-a-AT-v-a-n-d-e-r-b-i-l-t-DOT-e-d-u

Geometric group theory, analysis on metric measure spaces.

(2007) Coarse embeddings into a Hilbert space, Haagerup Property and Poincare inequalities (pdf ).

(2007) (with Xiaoman Chen, Xianjin Wang, Guoliang Yu)  Metric sparsification and operator norm localization. (pdf ). Advances in Math. 218 (2008), 1496-1511.

(2007) On the Lp-distorsion of finite quotients of amenable groups.  (pdf ).

(2007) Finding left inverses for operators on l^p(\Z^d) with polynomial decay. (pdf ).

(2007) Isoperimetric profile of subgroups and probability of return of random walks on elementary solvable groups. (pdf).

(2006) Large-scale Sobolev inequalities on metric measure spaces.  To appear in Rev. Mat. Iberoamericana (pdf).

(2006)(with Yves de Cornulier) Quasi-isometrically embedded free sub-semigroups. (pdf). Geom. Topol. 12 (2008), 461-473.

(2006) Asymptotic isoperimetry on groups and uniform embeddings into Banach spaces. (pdf).

(2006) Vanishing of the first reduced cohomology with values in a L^p-representation. (pdf).

(2006) Quantitative property A, Poincaré inequalities, Lp-compression and Lp-distortion for metric measure spaces (pdf).

(2006) (with Yves de Cornulier  and Alain Valette) Isometric group actions on Hilbert spaces: growth of cocycles.  Geom. Funct. Anal. 17 (2007), 770-792. (pdf).

(2006) (with Yves de Cornulier  and Alain Valette) Isometric group actions on Hilbert spaces: structure of orbits. To appear in Canandian Math. J. (pdf).

(2006) (with Yves de Cornulier  and Alain Valette) Isometric group actions on Banach spaces and representations vanishing at infinity. (pdf). To appear in Transformation Groups.

(2006) My PhD. (pdf).

(2005) Asymptotic isoperimetry of balls in metric measured spaces. Publicaciones Mathematiques 50, 2, 315-348. (pdf).

(2005) Volume of spheres in metric measured spaces and in groups of polynomial growth. To appear in Bulletin de la SMF. (pdf).

(2003) (with Yves de Cornulier ) Un petit article, sur le problème du prolongement à la frontière d'une fonction convexe sur un ouvert de Rⁿ. (pdf).