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
Tuomas OrponenUniversity of JyväskyläVerified email at jyu.fi
Michael HochmanProfessor of Mathematics, the Hebrew University of JerusalemVerified email at mail.huji.ac.il
Alexia YavicoliUniversity of British ColumbiaVerified email at math.ubc.ca
Yuval Peresyuvalperes.comVerified email at yuvalperes.com
Antti KäenmäkiUniversity of Eastern FinlandVerified email at kaenmaki.net
Tuomas SahlstenUniversity of HelsinkiVerified email at helsinki.fi
Hong WangNYU CourantVerified email at nyu.edu
Jonathan FraserMathematical Institute, University of St AndrewsVerified email at st-andrews.ac.uk
Tamás KeletiVerified email at cs.elte.hu
Santiago SagliettiAssistant Professor of Mathematics, Pontificia Universidad Católica de ChileVerified email at uc.cl
De-Jun FengProfessor, The Chinese University of Hong KongVerified email at math.cuhk.edu.hk
Ian D. MorrisReader in Mathematics, Queen Mary University of LondonVerified email at qmul.ac.uk
Eino RossiUniversity of HelsinkiVerified email at helsinki.fi
Fedor NazarovKent State UniversityVerified email at math.kent.edu
Amir AlgomThe University of HaifaVerified email at math.haifa.ac.il
Carolina A. MosqueraProfesora Adjunta (UBA)- Investigadora Adjunta (CONICET)Verified email at dm.uba.ar
Daniel GalicerUniversidad de Buenos AiresVerified email at dm.uba.ar
Dániel T. NagyEötvös Loránd UniversityVerified email at inf.elte.hu

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	197	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	178	2019
Resonance between Cantor sets Y Peres, P Shmerkin Ergodic Theory and Dynamical Systems 29 (1), 201, 2009	130	2009
On the exceptional set for absolute continuity of Bernoulli convolutions P Shmerkin Geometric and Functional Analysis 24 (3), 946-958, 2014	122	2014
Spatially independent martingales, intersections, and applications P Shmerkin, V Suomala Memoirs of the American Mathematical Society 251 (1195), 2018	75	2018
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	69	2016
Equidistribution from fractal measures M Hochman, P Shmerkin Inventiones mathematicae 202 (1), 427-479, 2015	69	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	55	2014
Projections of self-similar and related fractals: a survey of recent developments P Shmerkin Fractal geometry and stochastics V 70, 53-74, 2015	52	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	47	2019
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	42	2023
Salem sets with no arithmetic progressions P Shmerkin International Mathematics Research Notices 2017 (7), 1929-1941, 2017	42	2017
On the Hausdorff dimension of pinned distance sets P Shmerkin Israel Journal of Mathematics 230 (2), 949-972, 2019	41	2019
New bounds on the dimensions of planar distance sets T Keleti, P Shmerkin Geometric and Functional Analysis 29 (6), 1886-1948, 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
The Hausdorff dimension of the projections of self-affine carpets A Ferguson, T Jordan, P Shmerkin Fundamenta Mathematicae 209 (3), 193-213, 2010	40	2010
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	39	2006
Overlapping self-affine sets of Kakeya type A Käenmäki, P Shmerkin Ergodic Theory and Dynamical Systems 29 (3), 941-965, 2009	37	2009
Absolute continuity of non-homogeneous self-similar measures S Saglietti, P Shmerkin, B Solomyak Advances in Mathematics 335, 60-110, 2018	34	2018

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