45 citations · 191 across the 18 of their papers we have counts for
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On the dimension of Bernoulli convolutions
Emmanuel Breuillard, Péter P. Varjú
The Bernoulli convolution with parameter is the probability measure that is the law of the random variable , where the signs are independent u…
Recent progress on Bernoulli convolutions
Péter P. Varjú
The Bernoulli convolution with parameter is the measure on that is the distribution of the random power series , where are independent fair co…
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 $…
Absolute continuity of Bernoulli convolutions for algebraic parameters
Péter P. Varjú
We prove that Bernoulli convolutions are absolutely continuous provided the parameter lambda is an algebraic number sufficiently close to 1 depending on the Mahler measure of lambd…