P. Shmerkin

发表

Non-conformal Repellers and the Continuity of Pressure for Matrix Cocycles

De-Jun Feng, P. Shmerkin, Pablo Shmerkin, 2013, 1311.4241.

Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry

M. Hochman, E. Breuillard, P. Shmerkin, 2018, Oberwolfach Reports.

On exceptional sets of radial projections

P. Shmerkin, Tuomas Orponen, Pablo Shmerkin, 2022, 2205.13890.

Kaufman and Falconer estimates for radial projections and a continuum version of Beck's Theorem

Hong Wang, P. Shmerkin, Tuomas Orponen, 2022, 2209.00348.

On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems

I. Morris, P. Shmerkin, Pablo Shmerkin, 2016, Transactions of the American Mathematical Society.

Equidistribution from fractal measures

M. Hochman, P. Shmerkin, Pablo Shmerkin, 2015, Inventiones mathematicae.

On the Exceptional Set for Absolute Continuity of Bernoulli Convolutions

P. Shmerkin, Pablo Shmerkin, 2014, Geometric and Functional Analysis.

Improved Bounds on the Dimensions of Sets that Avoid Approximate Arithmetic Progressions

P. Shmerkin, J. Fraser, Alexia Yavicoli, 2021, Journal of Fourier Analysis and Applications.

On the Hausdorff dimension of pinned distance sets

P. Shmerkin, Pablo Shmerkin, 2019, Israel Journal of Mathematics.

Squares and their centers

P. Shmerkin, Dániel T. Nagy, Tamás Keleti, 2018, Journal d'Analyse Mathématique.

Convolutions of cantor measures without resonance

Y. Peres, F. Nazarov, P. Shmerkin, 2012, Israel Journal of Mathematics.

Overlapping self-affine sets

P. Shmerkin, Pablo Shmerkin, 2004, math/0408203.

A Modified Multifractal Formalism for a Class of Self-Similar Measures

P. Shmerkin, Pablo Shmerkin, 2004, math/0408047.

Equidistribution from fractal measures

M. Hochman, P. Shmerkin, Pablo Shmerkin, 2013, 1302.5792.

Non-conformal Repellers and the Continuity of Pressure for Matrix Cocycles

De-Jun Feng, P. Shmerkin, Pablo Shmerkin, 2014, Geometric and Functional Analysis.

Overlapping self-affine sets of Kakeya type

P. Shmerkin, A. Kaenmaki, Pablo Shmerkin, 2007, Ergodic Theory and Dynamical Systems.

On the dimensions of a family of overlapping self-affine carpets

P. Shmerkin, J. Fraser, Pablo Shmerkin, 2014, Ergodic Theory and Dynamical Systems.

Self-affine Sets and the Continuity of Subadditive Pressure

P. Shmerkin, Pablo Shmerkin, 2013, 1309.4730.

Local entropy averages and projections of fractal measures

M. Hochman, P. Shmerkin, Pablo Shmerkin, 2009, 0910.1956.

Porosity, dimension, and local entropies: a survey

P. Shmerkin, Pablo Shmerkin, 2011, 1110.5682.

The dimension of weakly mean porous measures: a probabilistic approach

P. Shmerkin, 2010, 1010.1394.

Absolute continuity of non-homogeneous self-similar measures

B. Solomyak, P. Shmerkin, S. Saglietti, 2017, Advances in Mathematics.

On Furstenberg's intersection conjecture, self-similar measures, and the Lq norms of convolutions

P. Shmerkin, Pablo Shmerkin, 2016, Annals of Mathematics.

Spatially independent martingales, intersections, and applications

P. Shmerkin, Ville Suomala, Pablo Shmerkin, 2014, 1409.6707.

Carolina A. Mosquera, P. Shmerkin, C. Mosquera, 2017, Annales Academiae Scientiarum Fennicae Mathematica.

On measures that improve $L^q$ dimension under convolution

P. Shmerkin, Eino Rossi, Pablo Shmerkin, 2018, Revista Matemática Iberoamericana.

Absolute continuity of complex Bernoulli convolutions

B. Solomyak, P. Shmerkin, Pablo Shmerkin, 2015, Mathematical Proceedings of the Cambridge Philosophical Society.

A class of random Cantor measures, with applications

P. Shmerkin, Ville Suomala, Pablo Shmerkin, 2015, 1603.08156.

Slices and distances: on two problems of Furstenberg and Falconer

Pablo Shmerkin, P. Shmerkin, Pablo Shmerkin, 2021, 2109.12157.

On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane

Pablo Shmerkin, Tuomas Orponen, P. Shmerkin, 2021, 2106.03338.

A non-linear version of Bourgain’s projection theorem

P. Shmerkin, Pablo Shmerkin, 2020, Journal of the European Mathematical Society.

New Bounds on the Dimensions of Planar Distance Sets

P. Shmerkin, T. Keleti, Pablo Shmerkin, 2018, Geometric and Functional Analysis.

On the Hausdorff dimension of pinned distance sets

P. Shmerkin, 2017, Israel Journal of Mathematics.

Sets which are not tube null and intersection properties of random measures

Ville Suomala, Pablo Shmerkin, P. Shmerkin, 2012, J. Lond. Math. Soc..

Zeros of {-1, 0, 1} Power Series and Connectedness Loci for Self-Affine Sets

Boris Solomyak, Pablo Shmerkin, B. Solomyak, 2005, Exp. Math..

Patterns in random fractals

P. Shmerkin, Ville Suomala, Pablo Shmerkin, 2017, American Journal of Mathematics.

Absolute continuity of self-similar measures, their projections and convolutions

B. Solomyak, P. Shmerkin, Pablo Shmerkin, 2014, 1406.0204.

Resonance between Cantor sets

Y. Peres, P. Shmerkin, Pablo Shmerkin, 2007, Ergodic Theory and Dynamical Systems.

AN IMPROVED BOUND FOR THE DIMENSION OF (α, 2α)-FURSTENBERG SETS

P. Shmerkin, Pablo Shmerkin, 2020 .

Maximal operators for cube skeletons

P. Shmerkin, Andrea Olivo, Pablo Shmerkin, 2018, Annales Academiae Scientiarum Fennicae Mathematica.

Squares and their centers

P. Shmerkin, T. Keleti, Dániel T. Nagy, 2014, 1408.1029.

C A ] 1 3 Ju l 2 01 8 MAXIMAL OPERATORS FOR CUBE SKELETONS

P. Shmerkin, Andrea Olivo, Pablo Shmerkin, 2018 .