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1

On the Random Series ∑ ± λn(an Erdos Problem)

Journal:

Annals of Mathematics

Year:

1995

Language:

english

File:

PDF, 917 KB

english, 1995

2

Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian

Damanik, David, Gorodetski, Anton, Solomyak, Boris

Journal:

Duke Mathematical Journal

Year:

2015

Language:

english

File:

PDF, 396 KB

english, 2015

3

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

Shmerkin, Pablo, Solomyak, Boris

Journal:

Transactions of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 392 KB

english, 2015

4

The Lebesgue measure of the algebraic difference of two random Cantor sets

Péter Móra, Károly Simon, Boris Solomyak

Journal:

Indagationes Mathematicae

Year:

2009

Language:

english

File:

PDF, 266 KB

english, 2009

5

Quasisymmetric conjugacy between quadratic dynamics and iterated function systems

EROĞLU, KEMAL ILGAR, ROHDE, STEFFEN, SOLOMYAK, BORIS

Journal:

Ergodic Theory and Dynamical Systems

Year:

2010

Language:

english

File:

PDF, 556 KB

english, 2010

6

Fractals with Positive Length and Zero Buffon Needle Probability

Yuval Peres, Károly Simon and Boris Solomyak

Journal:

American Mathematical Monthly

Year:

2003

Language:

english

File:

PDF, 1.21 MB

english, 2003

7

Self-Similar Measures and Intersections of Cantor Sets

Yuval Peres and Boris Solomyak

Journal:

Transactions of the American Mathematical Society

Year:

1998

Language:

english

File:

PDF, 2.24 MB

english, 1998

8

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

9

Approximation by Polynomials with Coefficients ±1

Yuval Peres, Boris Solomyak

Journal:

Journal of Number Theory

Year:

2000

Language:

english

File:

PDF, 150 KB

english, 2000

10

On the measure of arithmetic sums of Cantor sets

Journal:

Indagationes Mathematicae

Year:

1997

Language:

english

File:

PDF, 423 KB

english, 1997

11

Some High-Complexity Hamiltonians with Purely Singular Continuous Spectrum

David Damanik, Boris Solomyak

Journal:

Annales Henri Poincaré

Year:

2002

Language:

english

File:

PDF, 104 KB

english, 2002

12

Pure Point Diffractive Substitution Delone Sets Have the Meyer

Jeong-Yup Lee, Boris Solomyak

Journal:

Discrete & Computational Geometry

Year:

2008

Language:

english

File:

PDF, 457 KB

english, 2008

13

ABSOLUTE CONTINUITY FOR RANDOM ITERATED FUNCTION SYSTEMS WITH OVERLAPS

PERES, YUVAL, SIMON, KÁROLY, SOLOMYAK, BORIS

Journal:

Journal of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 247 KB

english, 2006

14

On the modulus of continuity for spectral measures in substitution dynamics

Bufetov, Alexander I., Solomyak, Boris

Journal:

Advances in Mathematics

Year:

2014

Language:

english

File:

PDF, 573 KB

english, 2014

15

10.1090/S0002-9947-98-02292-2

Peres, Yuval, Solomyak, Boris

Journal:

Transactions of the American Mathematical Society

Year:

1998

Language:

english

File:

PDF, 417 KB

english, 1998

16

Spectra of Bernoulli convolutions as multipliers in Lp on the circle

Sidorov, Nikita, Solomyak, Boris

Journal:

Duke Mathematical Journal

Year:

2003

Language:

english

File:

PDF, 139 KB

english, 2003

17

On the Morphology of γ-Expansions with Deleted Digits

Mike Keane, Meir Smorodinsky and Boris Solomyak

Journal:

Transactions of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 1.01 MB

english, 1995

18

On the morphology of $\gamma$-expansions with deleted digits

Keane, Mike, Smorodinsky, Meir, Solomyak, Boris

Journal:

Transactions of the American Mathematical Society

Year:

1995

Language:

english

File:

PDF, 887 KB

english, 1995

19

On the dimension of Furstenberg measure for $${ SL}_{2}(\mathbb {R})$$ S L 2 ( R ) random matrix products

Hochman, Michael, Solomyak, Boris

Journal:

Inventiones mathematicae

Year:

2017

Language:

english

File:

PDF, 833 KB

english, 2017

20

Diophantine Property of Matrices and Attractors of Projective Iterated Function Systems in ââ1

Solomyak, Boris, Takahashi, Yuki

Journal:

International Mathematics Research Notices

Year:

2020

File:

PDF, 383 KB

2020

21

Hausdorff dimension of the multiplicative golden mean shift

Richard Kenyon, Yuval Peres, Boris Solomyak

Journal:

Comptes Rendus Mathematique

Year:

2011

Language:

english

File:

PDF, 139 KB

english, 2011

22

Self-similar sets of zero Hausdorff measure and positive packing measure

Yuval Peres, Károly Simon, Boris Solomyak

Journal:

Israel Journal of Mathematics

Year:

2000

Language:

english

File:

PDF, 1.05 MB

english, 2000

23

“Mandelbrot set” for a pair of linear maps: The local geometry

Journal:

Analysis in Theory and Applications

Year:

2004

Language:

english

File:

PDF, 364 KB

english, 2004

24

On the Characterization of Expansion Maps for

Richard Kenyon, Boris Solomyak

Journal:

Discrete & Computational Geometry

Year:

2010

Language:

english

File:

PDF, 827 KB

english, 2010

25

Limit Theorems for Self-Similar Tilings

Alexander I. Bufetov, Boris Solomyak

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 370 KB

english, 2013

26

Dimensions of some fractals defined via the semigroup generated by 2 and 3

Peres, Yuval, Schmeling, Joerg, Seuret, Stéphane, Solomyak, Boris

Journal:

Israel Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 267 KB

english, 2014

27

Finite beta-expansions

Frougny, Christiane, Solomyak, Boris

Journal:

Ergodic Theory and Dynamical Systems

Year:

1992

Language:

english

File:

PDF, 694 KB

english, 1992

28

On the `Mandelbrot set' for a pair of linear maps and complex Bernoulli convolutions

Solomyak, Boris, Xu, Hui

Journal:

Year:

2003

Language:

english

File:

PDF, 177 KB

english, 2003

29

ON THE DIMENSION OF SELF-SIMILAR SETS

SIMON, KÁROLY, SOLOMYAK, BORIS

Journal:

Year:

2002

Language:

english

File:

PDF, 2.46 MB

english, 2002

30

Second-order ergodic theorem for self-similar tiling systems

MEDYNETS, KONSTANTIN, SOLOMYAK, BORIS

Journal:

Ergodic Theory and Dynamical Systems

Year:

2014

Language:

english

File:

PDF, 700 KB

english, 2014

31

ON THE CONTEXT-FREENESS OF THE θ-EXPANSIONS OF THE INTEGERS

FROUGNY, CHRISTIANE, SOLOMYAK, BORIS

Journal:

International Journal of Algebra and Computation

Year:

1999

Language:

english

File:

PDF, 202 KB

english, 1999

32

Multifractal structure of Bernoulli convolutions

JORDAN, THOMAS, SHMERKIN, PABLO, SOLOMYAK, BORIS

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2011

Language:

english

File:

PDF, 366 KB

english, 2011

33

Two-symbol Pisot substitutions have pure discrete spectrum

HOLLANDER, MICHAEL, SOLOMYAK, BORIS

Journal:

Ergodic Theory and Dynamical Systems

Year:

2003

Language:

english

File:

PDF, 269 KB

english, 2003

34

Hausdorff dimension for fractals invariant under multiplicative integers

KENYON, RICHARD, PERES, YUVAL, SOLOMYAK, BORIS

Journal:

Ergodic Theory and Dynamical Systems

Year:

2012

Language:

english

File:

PDF, 441 KB

english, 2012

35

Topological mixing for substitutions on two letters

KENYON, RICHARD, SADUN, LORENZO, SOLOMYAK, BORIS

Journal:

Ergodic Theory and Dynamical Systems

Year:

2005

Language:

english

File:

PDF, 356 KB

english, 2005

36

Spacings and pair correlations for finite Bernoulli convolutions

Benjamini, Itai, Solomyak, Boris

Journal:

Year:

2009

Language:

english

File:

PDF, 744 KB

english, 2009

37

On the ‘Mandelbrot set’ for pairs of linear maps: asymptotic self-similarity

Solomyak, Boris

Journal:

Year:

2005

Language:

english

File:

PDF, 328 KB

english, 2005

38

Equivalence of Positive Hausdorff Measure and the Open Set Condition for Self-Conformal Sets

Yuval Peres, Michal Rams, Károly Simon and Boris Solomyak

Journal:

Proceedings of the American Mathematical Society

Year:

2001

File:

PDF, 297 KB

2001

39

Equivalence of Positive Hausdorff Measure and the Open Set Condition for Self-Conformal Sets

Yuval Peres, Michal Rams, Károly Simon and Boris Solomyak

Journal:

Proceedings of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 297 KB

english, 2001

40

The Sharp Hausdorff Measure Condition for Length of Projections

Yuval Peres and Boris Solomyak

Journal:

Proceedings of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 296 KB

english, 2005

41

On the Morphology of γ-Expansions with Deleted Digits

Mike Keane, Meir Smorodinsky and Boris Solomyak

Journal:

Transactions of the American Mathematical Society

Year:

1995

File:

PDF, 1.01 MB

1995

42

Dynamics of self-similar tilings

SOLOMYAK, BORIS

Journal:

Ergodic Theory and Dynamical Systems

Year:

1997

Language:

english

File:

PDF, 505 KB

english, 1997

43

Corrections to ‘Dynamics of self-similar tilings’ Ergod. Th. & Dynam. Sys. 17 (1997), 695–738

SOLOMYAK, BORIS

Journal:

Ergodic Theory and Dynamical Systems

Year:

1999

Language:

english

File:

PDF, 18 KB

english, 1999

44

Hausdorff dimension for horseshoes in $\mathbb{R}^3$

SIMON, KÁROLY, SOLOMYAK, BORIS

Journal:

Ergodic Theory and Dynamical Systems

Year:

1999

Language:

english

File:

PDF, 199 KB

english, 1999

45

Measure and dimension for some fractal families

SOLOMYAK, BORIS

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

1998

Language:

english

File:

PDF, 322 KB

english, 1998

46

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

47

10.1090/s0002-9939-01-05969-x

Peres, Yuval, Rams, Michał\, Simon, Károly, Solomyak, Boris

Journal:

Proceedings of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 215 KB

english, 2001

48

10.1090/s0002-9939-05-08073-1

Peres, Yuval, Solomyak, Boris

Journal:

Proceedings of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 190 KB

english, 2005

49

L^q densities for measures associated with parabolic IFS with overlaps

Solomyak, Boris, Urbanski, Mariusz

Journal:

Indiana University Mathematics Journal

Year:

2001

Language:

english

File:

PDF, 275 KB

english, 2001

50

Absolute continuity of complex Bernoulli convolutions

SHMERKIN, PABLO, SOLOMYAK, BORIS

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2016

Language:

english

File:

PDF, 204 KB

english, 2016

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