Professor
Research Interests: Analysis, Combinatorics, Number Theory
Publications
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,
1832
(doi: 10.1007/s00039-012-0190-7)
Expansion in $SL_d(\mathcal{O}_K/I)$, $I$ square-free
– Journal of the European Mathematical Society
(2012)
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)
On square-free vertex colorings of graphs
– Studia Scientiarum Mathematicarum Hungarica
(2007)
44,
411
(doi: 10.1556/SScMath.2007.1029)
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