Web page of Romain TESSERA

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).  Journal of Topology and Analysis Vol. 1 (2009), 87--100.
• (2007) Large-scale isoperimetry on locally compact groups and applications. Actes du Séminaire de Théorie Spectrale et Géométrie. Vol. 25. Année 2006--2007, 179--188, Sémin. Théor. Spectr. Géom., 25, Univ. Grenoble I, Saint-Martin-d'Hères, 2008.

• (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).  To appear in Positivity.

• (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.  Rev. Mat. Iberoam. 24 (2008), no. 3, 825--864. (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).To appear in Comment. Math. Helv.
  
• (2006) Vanishing of the first reduced cohomology with values in a L^p-representation. (pdf). Annales de l'institut Fourier, 59 no. 2 (2009), p. 851-876.
• (2006) Quantitative property A, Poincaré inequalities, Lp-compression and Lp-distortion for metric measure spaces (pdf). Geom. Dedicata 136 (2008), 203--220.
• (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. Canad. J. Math. 60 (2008), no. 5, 1001--1009. (pdf).
• (2006) (with Yves de Cornulier  and Alain Valette) Isometric group actions on Banach spaces and representations vanishing at infinity. (pdf). Transform. Groups 13 (2008), no. 1, 125--147.
• (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.  Bull. Soc. Math. France 135 (2007), no. 1, 47--64. (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).

• (2009) The Schur algebra is not spectral in B(l²). (pdf ).
• (2007) Finding left inverses for operators on l^p(\Z^d) with polynomial decay. (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).