1

Local entropy averages and projections of fractal measures

Hochman, Michael, Shmerkin, Pablo
Journal:
Annals of Mathematics
Year:
2012
Language:
english
File:
PDF, 726 KB
english, 2012
3

Equidistribution from fractal measures

Hochman, Michael, Shmerkin, Pablo
Journal:
Inventiones mathematicae
Year:
2015
Language:
english
File:
PDF, 499 KB
english, 2015
4

On the Exceptional Set for Absolute Continuity of Bernoulli Convolutions

Shmerkin, Pablo
Journal:
Geometric And Functional Analysis
Year:
2014
Language:
english
File:
PDF, 235 KB
english, 2014
5

Absolute continuity of non-homogeneous self-similar measures

Saglietti, Santiago, Shmerkin, Pablo, Solomyak, Boris
Journal:
Advances in Mathematics
Year:
2018
Language:
english
File:
PDF, 732 KB
english, 2018
7

On the Hausdorff dimension of pinned distance sets

Shmerkin, Pablo
Journal:
Israel Journal of Mathematics
Year:
2019
Language:
english
File:
PDF, 259 KB
english, 2019
9

Patterns in random fractals

Shmerkin, Pablo, Suomala, Ville
Journal:
American Journal of Mathematics
Year:
2020
File:
PDF, 772 KB
2020
10

On packing measures and a theorem of Besicovitch

Garcia, Ignacio, Shmerkin, Pablo
Journal:
Proceedings of the American Mathematical Society
Year:
2014
Language:
english
File:
PDF, 192 KB
english, 2014
11

Convolutions of cantor measures without resonance

Fedor Nazarov, Yuval Peres, Pablo Shmerkin
Journal:
Israel Journal of Mathematics
Year:
2012
Language:
english
File:
PDF, 317 KB
english, 2012
12

Squares and their centers

Keleti, Tamás, Nagy, Dániel T., Shmerkin, Pablo
Journal:
Journal d'Analyse Mathématique
Year:
2018
Language:
english
File:
PDF, 283 KB
english, 2018
13

New Bounds on the Dimensions of Planar Distance Sets

Keleti, Tamás, Shmerkin, Pablo
Journal:
Geometric And Functional Analysis
Year:
2019
Language:
english
File:
PDF, 844 KB
english, 2019
14

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

Shmerkin, Pablo, Solomyak, Boris
Journal:
Experimental Mathematics
Year:
2006
Language:
english
File:
PDF, 465 KB
english, 2006
16

Resonance between Cantor sets

PERES, YUVAL, SHMERKIN, PABLO
Journal:
Ergodic Theory and Dynamical Systems
Year:
2009
Language:
english
File:
PDF, 252 KB
english, 2009
18

Salem Sets with No Arithmetic Progressions

Shmerkin, Pablo
Journal:
International Mathematics Research Notices
Year:
2016
Language:
english
File:
PDF, 130 KB
english, 2016
19

L q dimensions and projections of random measures

Galicer, Daniel, Saglietti, Santiago, Shmerkin, Pablo, Yavicoli, Alexia
Journal:
Nonlinearity
Year:
2016
Language:
english
File:
PDF, 2.12 MB
english, 2016
21

Overlapping self-affine sets of Kakeya type

KÄENMÄKI, ANTTI, SHMERKIN, PABLO
Journal:
Ergodic Theory and Dynamical Systems
Year:
2009
Language:
english
File:
PDF, 441 KB
english, 2009