Overlap Properties of Geometric Expanders, Jacob Fox, Mikhael Gromov, Vincent Lafforgue, Assaf Naor and Janos Pach

# Category Archives: Metric, measure, concentration and isoperimetric inequalities

Singularities, expanders and topology of maps. Part 1 : Homology versus volume in the spaces of cycles. GAFA, Geom. func. anal.,19 (2009) n 3, 743-841.

Singularities, expanders and topology of map. Part 2: From combinatorics to topology via algebraic isoperimetry. GAFA, Geom. func. anal.,20 (2010), 416-526.

Entropy and Isoperimetry for Linear and non-Linear Group Actions

Isoperimetric inequalities in Riemannian manifolds Lect. Notes in Math. Springer-Verlag 1200 (1986), 114-130.

The spherical isoperimetric inequality in Banach spaces, (with V. Milman) Compositio Math. 62 (1987), 263-282

Spectral geometry of semi-algebraic sets, in Ann. Inst. Fourier 42 (1992), 249-274.

Isoperimetry of waists and concentration of maps, GAFA, Geom. funct. anal.,13 (2003), 178-215. Preprint IHES 2002.

“How Many” Curves of Length

Paul Levy’s isoperimetric inequality, preprint IHÉS (1979), reprinted in [105].

A topological application of the isoperimetric inequality, (with V. Milman) J. Amer.Math. 105 (1983), 843-854.

Metric structures for Riemannian and non-Riemannian spaces, Birkhaüser (1999)