45 citations · 191 across the 18 of their papers we have counts for
6 papers · 1 filter
Exponential multiple mixing for commuting automorphisms of a nilmanifold
Timothée Bénard, Péter P. Varjú
Let and be an action of by automorphisms on a compact nilmanifold . We a…
Self-similar measures associated to a homogeneous system of three maps
Ariel Rapaport, Péter P. Varjú
We study the dimension of self-similar measures associated to a homogeneous iterated function system of three contracting similarities on and other more general IFS's. We e…
The structure theory of Nilspaces III: Inverse limit representations and topological dynamics
Yonatan Gutman, Freddie Manners, Péter P. Varjú
This paper forms the third part of a series by the authors [GMV1,GMV2] concerning the structure theory of nilspaces. A nilspace is a compact space together with closed collecti…
The structure theory of Nilspaces II: Representation as nilmanifolds
Yonatan Gutman, Freddie Manners, Péter P. Varjú
This paper forms the second part of a series by the authors [GMV1,GMV3] concerning the structure theory of nilspaces of Antolín Camarena and Szegedy. A nilspace is a compact space…
The structure theory of Nilspaces I
Yonatan Gutman, Freddie Manners, Péter P. Varjú
This paper forms the first part of a series by the authors [GMV2,GMV3] concerning the structure theory of nilspaces of Antolín Camarena and Szegedy. A nilspace is a compact space $…
Random walks in Euclidean space
Péter Pál Varjú
Consider a sequence of independent random isometries of Euclidean space with a previously fixed probability law. Apply these isometries successively to the origin and consider the…