Следене
Pablo Shmerkin
Pablo Shmerkin
Professor - University of British Columbia
Потвърден имейл адрес: math.ubc.ca - Начална страница
Заглавие
Позовавания
Позовавания
Година
Local entropy averages and projections of fractal measures
M Hochman, P Shmerkin
Annals of Mathematics 175 (3), 1001-1059, 2012
1862012
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
1552019
Resonance between Cantor sets
Y Peres, P Shmerkin
Ergodic Theory and Dynamical Systems 29 (1), 201, 2009
1232009
On the exceptional set for absolute continuity of Bernoulli convolutions
P Shmerkin
Geometric and Functional Analysis 24 (3), 946-958, 2014
1202014
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
662016
Spatially independent martingales, intersections, and applications
P Shmerkin, V Suomala
Memoirs of the American Mathematical Society 251 (1195), 2018
632018
Equidistribution from fractal measures
M Hochman, P Shmerkin
Inventiones mathematicae 202 (1), 427-479, 2015
612015
Non-conformal repellers and the continuity of pressure for matrix cocycles
DJ Feng, P Shmerkin
Geometric and Functional Analysis 24 (4), 1101-1128, 2014
512014
Projections of self-similar and related fractals: a survey of recent developments
P Shmerkin
Fractal geometry and stochastics V 70, 53-74, 2015
482015
A modified multifractal formalism for a class of self-similar measures with overlap
P Shmerkin
Asian Journal of Mathematics 9 (3), 323-348, 2005
482005
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
422019
On the Hausdorff dimension of pinned distance sets
P Shmerkin
Israel Journal of Mathematics 230 (2), 949-972, 2019
402019
Convolutions of Cantor measures without resonance
F Nazarov, Y Peres, P Shmerkin
Israel Journal of Mathematics 187 (1), 93-116, 2012
402012
New bounds on the dimensions of planar distance sets
T Keleti, P Shmerkin
Geometric and Functional Analysis 29 (6), 1886-1948, 2019
382019
Salem sets with no arithmetic progressions
P Shmerkin
International Mathematics Research Notices 2017 (7), 1929-1941, 2017
382017
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
372006
Overlapping self-affine sets of Kakeya type
A Käenmäki, P Shmerkin
Ergodic Theory and Dynamical Systems 29 (3), 941-965, 2009
362009
The Hausdorff dimension of the projections of self-affine carpets
A Ferguson, T Jordan, P Shmerkin
Fundamenta Mathematicae 209 (3), 193-213, 2010
352010
Overlapping self-affine sets
P Shmerkin
Indiana Univ. Math. J. 55 (4), 1291-1331, 2006
332006
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
322023
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