Professor
Research Interests: Analysis, Combinatorics, Number Theory
Publications
Spectral gap in the group of affine transformations over prime fields
– Annales de la faculté des sciences de Toulouse Mathématiques
(2016)
25,
969
(doi: 10.5802/afst.1518)
Recent progress on Bernoulli convolutions
– Proceedings of the 7th European Congress of Mathematics
(2016)
(doi: 10.17863/CAM.17352)
Random walks in the group of euclidean isometries and self-similar measures
– Duke Mathematical Journal
(2016)
165,
1061
(doi: 10.1215/00127094-3167490)
Random walks in Euclidean space
– Annals of Mathematics
(2015)
181,
243
(doi: 10.4007/annals.2015.181.1.4)
Diophantine property in the group of affine transformations of the li
– Acta Scientiarum Mathematicarum
(2012)
80,
447
(doi: 10.14232/actasm-013-757-6)
EXPANSION IN PERFECT GROUPS
– Geometric and Functional Analysis
(2012)
22,
1
(doi: 10.1007/s00039-012-0190-7)
Expansion in $SL_d(\mathcal{O}_K/I)$, $I$ square-free
– Journal of the European Mathematical Society
(2011)
14,
273
(doi: 10.4171/JEMS/302)
Expansion in SLd(Z/qZ), q arbitrary
– Inventiones Mathematicae
(2011)
188,
151
(doi: 10.1007/s00222-011-0345-4)
Euclidean algorithm in different norms
– Publicationes Mathematicae Debrecen
(2011)
78,
245
(doi: 10.5486/pmd.2011.4804)
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