We formulate and prove two generalizations of Weyl's classical equidistribution theorem: The first theorem applies to any polynomial map from a locally compact amenable group to a compact abelian group. The second theorem applies to any polynomial map from a countable group to a compact abelian group.Comment: 8 pages. Comments welcom
AbstractWe establish the homological foundations for studying polynomially bounded group cohomology,...
The equivariant coarse index is well-understood and widely used for actions by discrete groups. We e...
We reduce the local limit theorem for a non-compact semisimple Lie group acting on its symmetric spa...
Generalized polynomials are mappings obtained from the conventional polynomials by the use of the op...
In this short note, we prove a G-equivariant generalisation of McDuff-Segal's group completion theor...
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipoten...
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipoten...
By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture...
AbstractGeneralizing a result of Weyl, we give some sufficient conditions for a real sequence (an) t...
We prove a quantitative refinement of the statement that groups of polynomial growth are finitely pr...
International audienceLet G be a locally compact group, E a homogeneous space of G. We discuss the r...
AbstractThe asymptotic behavior of the Haar measure of Un = U · U ··· U, where U is a compact neighb...
We prove a polynomially effective equidistribution result for expanding translates in the space of $...
In this article, we introduce the notion of global adelic space of an arithmetic variety over an ade...
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relati...
AbstractWe establish the homological foundations for studying polynomially bounded group cohomology,...
The equivariant coarse index is well-understood and widely used for actions by discrete groups. We e...
We reduce the local limit theorem for a non-compact semisimple Lie group acting on its symmetric spa...
Generalized polynomials are mappings obtained from the conventional polynomials by the use of the op...
In this short note, we prove a G-equivariant generalisation of McDuff-Segal's group completion theor...
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipoten...
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipoten...
By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture...
AbstractGeneralizing a result of Weyl, we give some sufficient conditions for a real sequence (an) t...
We prove a quantitative refinement of the statement that groups of polynomial growth are finitely pr...
International audienceLet G be a locally compact group, E a homogeneous space of G. We discuss the r...
AbstractThe asymptotic behavior of the Haar measure of Un = U · U ··· U, where U is a compact neighb...
We prove a polynomially effective equidistribution result for expanding translates in the space of $...
In this article, we introduce the notion of global adelic space of an arithmetic variety over an ade...
We establish existence, uniqueness and ergodicity results for Patterson-Sullivan measures for relati...
AbstractWe establish the homological foundations for studying polynomially bounded group cohomology,...
The equivariant coarse index is well-understood and widely used for actions by discrete groups. We e...
We reduce the local limit theorem for a non-compact semisimple Lie group acting on its symmetric spa...