Local entropy averages and projections of fractal measures M Hochman, P Shmerkin Annals of Mathematics 175 (3), 1001-1059, 2012 | 187 | 2012 |
On Furstenberg's intersection conjecture, self-similar measures, and the L q norms of convolutions P Shmerkin Annals of Mathematics 189 (2), 319-391, 2019 | 161 | 2019 |
Resonance between Cantor sets Y Peres, P Shmerkin Ergodic Theory and Dynamical Systems 29 (1), 201, 2009 | 125 | 2009 |
On the exceptional set for absolute continuity of Bernoulli convolutions P Shmerkin Geometric and Functional Analysis 24 (3), 946-958, 2014 | 120 | 2014 |
Absolute continuity of self-similar measures, their projections and convolutions P Shmerkin, B Solomyak Transactions of the American Mathematical Society 368 (7), 5125-5151, 2016 | 66 | 2016 |
Spatially independent martingales, intersections, and applications P Shmerkin, V Suomala Memoirs of the American Mathematical Society 251 (1195), 2018 | 64 | 2018 |
Equidistribution from fractal measures M Hochman, P Shmerkin Inventiones mathematicae 202 (1), 427-479, 2015 | 62 | 2015 |
Non-conformal repellers and the continuity of pressure for matrix cocycles DJ Feng, P Shmerkin Geometric and Functional Analysis 24 (4), 1101-1128, 2014 | 53 | 2014 |
Projections of self-similar and related fractals: a survey of recent developments P Shmerkin Fractal geometry and stochastics V 70, 53-74, 2015 | 49 | 2015 |
A modified multifractal formalism for a class of self-similar measures with overlap P Shmerkin Asian Journal of Mathematics 9 (3), 323-348, 2005 | 48 | 2005 |
On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems I Morris, P Shmerkin Transactions of the American Mathematical Society 371 (3), 1547-1582, 2019 | 43 | 2019 |
On the Hausdorff dimension of pinned distance sets P Shmerkin Israel Journal of Mathematics 230 (2), 949-972, 2019 | 40 | 2019 |
Convolutions of Cantor measures without resonance F Nazarov, Y Peres, P Shmerkin Israel Journal of Mathematics 187 (1), 93-116, 2012 | 40 | 2012 |
New bounds on the dimensions of planar distance sets T Keleti, P Shmerkin Geometric and Functional Analysis 29 (6), 1886-1948, 2019 | 39 | 2019 |
Salem sets with no arithmetic progressions P Shmerkin International Mathematics Research Notices 2017 (7), 1929-1941, 2017 | 38 | 2017 |
Overlapping self-affine sets of Kakeya type A Käenmäki, P Shmerkin Ergodic Theory and Dynamical Systems 29 (3), 941-965, 2009 | 37 | 2009 |
Zeros of {-1, 0, 1} Power Series and Connectedness Loci for Self-Affine Sets P Shmerkin, B Solomyak Experimental Mathematics 15 (4), 499-511, 2006 | 37 | 2006 |
The Hausdorff dimension of the projections of self-affine carpets A Ferguson, T Jordan, P Shmerkin Fundamenta Mathematicae 209 (3), 193-213, 2010 | 36 | 2010 |
Overlapping self-affine sets P Shmerkin Indiana Univ. Math. J. 55 (4), 1291-1331, 2006 | 33 | 2006 |
On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane T Orponen, P Shmerkin Duke Mathematical Journal 172 (18), 3559-3632, 2023 | 32 | 2023 |