Pablo Shmerkin

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Ville SuomalaUniversity of OuluVerified email at oulu.fi
Boris SolomyakProfessor of Mathematics, Bar-Ilan UniversityVerified email at macs.biu.ac.il
Michael HochmanThe Hebrew University of JerusalemVerified email at mail.huji.ac.il
Yuval Peresyuvalperes.comVerified email at yuvalperes.com
Antti KäenmäkiUniversity of OuluVerified email at oulu.fi
Alexia YavicoliUniversity of British ColumbiaVerified email at math.ubc.ca
Tuomas SahlstenAalto UniversityVerified email at aalto.fi
Tamás KeletiVerified email at cs.elte.hu
Jonathan FraserMathematical Institute, University of St AndrewsVerified email at st-andrews.ac.uk
Santiago SagliettiProfessor of Mathematics, Pontificia Universidad Católica de ChileVerified email at mat.uc.cl
Tuomas OrponenUniversity of JyväskyläVerified email at jyu.fi
De-Jun FengProfessor, The Chinese University of Hong KongVerified email at math.cuhk.edu.hk
Fedor NazarovKent State UniversityVerified email at math.kent.edu
Ian D. MorrisReader in Mathematics, Queen Mary University of LondonVerified email at qmul.ac.uk
Eino RossiUniversity of HelsinkiVerified email at helsinki.fi
Dániel T. NagyRényi InstituteVerified email at renyi.hu
Carolina A. MosqueraJefe de Trabajos Prácticos (UBA)- Investigadora Asistente (CONICET)Verified email at dm.uba.ar
Daniel GalicerUniversidad de Buenos AiresVerified email at dm.uba.ar
Kenneth FalconerProfessor of Mathematics, University of St AndrewsVerified email at st-and.ac.uk
Simon BakerUniversity of BirminghamVerified email at bham.ac.uk

Pablo Shmerkin

Professor - University of British Columbia

Verified email at math.ubc.ca - Homepage

Fractal geometry ergodic theory geometric measure theory


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Local entropy averages and projections of fractal measures M Hochman, P Shmerkin Annals of Mathematics 175 (3), 1001-1059, 2012	173	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	113	2019
Resonance between Cantor sets Y Peres, P Shmerkin Ergodic Theory and Dynamical Systems 29 (1), 201, 2009	113	2009
On the exceptional set for absolute continuity of Bernoulli convolutions P Shmerkin Geometric and Functional Analysis 24 (3), 946-958, 2014	106	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	57	2016
Spatially independent martingales, intersections, and applications P Shmerkin, V Suomala Memoirs of the American Mathematical Society 251 (1195), 2018	55	2018
Equidistribution from fractal measures M Hochman, P Shmerkin Inventiones mathematicae 202 (1), 427-479, 2015	55	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	50	2014
A modified multifractal formalism for a class of self-similar measures with overlap P Shmerkin Asian Journal of Mathematics 9 (3), 323-348, 2005	47	2005
Projections of self-similar and related fractals: a survey of recent developments P Shmerkin Fractal Geometry and Stochastics V, 53-74, 2015	45	2015
Convolutions of Cantor measures without resonance F Nazarov, Y Peres, P Shmerkin Israel Journal of Mathematics 187 (1), 93-116, 2012	40	2012
Overlapping self-affine sets of Kakeya type A Käenmäki, P Shmerkin Ergodic Theory and Dynamical Systems 29 (3), 941-965, 2009	37	2009
On the Hausdorff dimension of pinned distance sets P Shmerkin Israel Journal of Mathematics 230 (2), 949-972, 2019	35	2019
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	34	2019
Salem sets with no arithmetic progressions P Shmerkin International Mathematics Research Notices 2017 (7), 1929-1941, 2017	34	2017
The Hausdorff dimension of the projections of self-affine carpets A Ferguson, T Jordan, P Shmerkin Fundamenta Mathematicae 209 (3), 193-213, 2010	34	2010
New bounds on the dimensions of planar distance sets T Keleti, P Shmerkin Geometric and Functional Analysis 29 (6), 1886-1948, 2019	32	2019
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	32	2006
Overlapping self-affine sets P Shmerkin Indiana Univ. Math. J. 55 (4), 1291-1331, 2006	29	2006
Multifractal structure of Bernoulli convolutions T Jordan, P Shmerkin, B Solomyak Mathematical Proceedings of the Cambridge Philosophical Society 151 (3), 521-539, 2011	28	2011

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