# Department of Pure Mathematics and Mathematical Statistics

University Lecturer

Research Interests: Analysis, Combinatorics, Number Theory

## Publications

Absolute continuity of Bernoulli convolutions for algebraic parameters
PP Varju
– Journal of the American Mathematical Society
(2019)
32,
351
The structure theory of Nilspaces II: Representation as nilmanifolds
Y Gutman, F Manners, PP Varjú
– Transactions of the American Mathematical Society
(2019)
371,
4951
Spectral gap in the group of affine transformations over prime fields
E Lindenstrauss, PP Varju
– Annales de la faculté des sciences de Toulouse Mathématiques
(2016)
25,
969
Recent progress on Bernoulli convolutions
PP Varjú
– Proceedings of the 7th European Congress of Mathematics
(2016)
Random walks in the group of euclidean isometries and self-similar measures
E Lindenstrauss, PP Varjú
– Duke Mathematical Journal
(2015)
165,
1061
Random walks in Euclidean space
PP Varjú
– Annals of Mathematics
(2015)
181,
243
Diophantine property in the group of affine transformations of the line
PP Varjú
– Acta Scientiarum Mathematicarum
(2012)
80,
447
Expansion in perfect groups
AS Golsefidy, PP Varjú
– Geometric and Functional Analysis
(2012)
22,
1832
Random walks in compact groups
PP Varjú
– Documenta Mathematica
(2012)
18,
1137
Expansion in $SL_d(\mathcal{O}_K/I)$, $I$ square-free
PP Varjú
– Journal of the European Mathematical Society
(2012)
14,
273
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