Concept
Automorphisme
Publications associées (24)
A Spectral Ansatz for The Long-Time Homogenization of The Wave Equation
- Consider the wave equation with heterogeneous coefficients in the homogenization regime. At large times, the wave interacts in a nontrivial way with the heterogeneities, giving rise to effective dispersive effects. The main achievement of the present wor ...
Symmetry in design and decoding of polar-like codes
The beginning of 21st century provided us with many answers about how to reach the channel capacity. Polarization and spatial coupling are two techniques for achieving the capacity of binary memoryless symmetric channels under low-complexity decoding algor ...
EPFL2022Amenable hyperbolic groups
We give a complete characterization of the locally compact groups that are nonelementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous one-parameter groups of compacting automorphisms. We moreover gi ...
European Mathematical Soc2015Diophantine properties of nilpotent Lie groups
A finitely generated subgroup F of a real Lie group G is said to be Diophantine if there is beta > 0 such that non-trivial elements in the word ball B-Gamma(n) centered at 1 is an element of F never approach the identity of G closer than broken vertical ba ...
London Mathematical Society, Cambridge2015L-2-Betti numbers and Plancherel measure
Henrik Densing Petersen, Alain Valette
We compute L-2-Betti numbers of postliminal, locally compact, unimodular groups in terms of ordinary dimensions of reduced cohomology with coefficients in irreducible unitary representations and the Plancherel measure. This allows us to compute the L-2-Bet ...
Academic Press Inc Elsevier Science2014