×
Author ID: solomyak.boris Recent zbMATH articles by "Solomyak, Boris"
Published as: Solomyak, Boris; Solomyak, B. M.; Solomyak, B.; Solomjak, B. M.
External Links: MGP
all top 5

Serials

11 Ergodic Theory and Dynamical Systems
6 Transactions of the American Mathematical Society
5 Discrete & Computational Geometry
4 Journal of Soviet Mathematics
4 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
3 Israel Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Nonlinearity
3 Advances in Mathematics
3 Functional Analysis and its Applications
3 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Proceedings of the American Mathematical Society
2 Journal d’Analyse Mathématique
2 Duke Mathematical Journal
2 Fundamenta Mathematicae
2 Indiana University Mathematics Journal
2 Pacific Journal of Mathematics
2 Real Analysis Exchange
2 Indagationes Mathematicae. New Series
2 Discrete and Continuous Dynamical Systems
2 Annales Henri Poincaré
2 Journal of Fractal Geometry
2 Journal de l’École Polytechnique – Mathématiques
1 American Mathematical Monthly
1 Communications in Mathematical Physics
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Periodica Mathematica Hungarica
1 Russian Mathematical Surveys
1 Acta Arithmetica
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Siberian Mathematical Journal
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Soviet Mathematics. Doklady
1 Soviet Mathematics
1 Journal of Operator Theory
1 Acta Mathematica Hungarica
1 International Journal of Algebra and Computation
1 IMRN. International Mathematics Research Notices
1 Experimental Mathematics
1 Zapiski Nauchnykh Seminarov POMI
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Fractals
1 Mathematical Research Letters
1 Annals of Mathematics. Second Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Analysis in Theory and Applications
1 Mathematical Surveys and Monographs

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 1,997 times in 1,133 Documents Cited by Year
Sixty years of Bernoulli convolutions. Zbl 0961.42006
Peres, Yuval; Schlag, Wilhelm; Solomyak, Boris
158
2000
On the random series \(\sum\pm\lambda^ n\) (an Erdös problem). Zbl 0837.28007
Solomyak, Boris
156
1995
Dynamics of self-similar tilings. Zbl 0884.58062
Solomyak, Boris
132
1997
Finite beta-expansions. Zbl 0814.68065
Frougny, Christiane; Solomyak, Boris
117
1992
Measure and dimension for some fractal families. Zbl 0927.28006
Solomyak, Boris
91
1998
Pure point dynamical and diffraction spectra. Zbl 1025.37004
Lee, J.-Y.; Moody, R. V.; Solomyak, B.
80
2002
Absolute continuity of Bernoulli convolutions, a simple proof. Zbl 0867.28001
Peres, Yuval; Solomyak, Boris
76
1996
Nonperiodicity implies unique composition for self-similar translationally finite tilings. Zbl 0919.52017
Solomyak, B.
70
1998
Self-similar measures and intersections of Cantor sets. Zbl 0912.28005
Peres, Yuval; Solomyak, Boris
57
1998
Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets. Zbl 0980.28005
Peres, Yuval; Rams, Michal; Simon, Károly; Solomyak, Boris
43
2001
Existence of \(L^q\) dimensions and entropy dimension for self-conformal measures. Zbl 0978.28004
Peres, Yuval; Solomyak, Boris
42
2000
Absolute continuity of self-similar measures, their projections and convolutions. Zbl 1334.28013
Shmerkin, Pablo; Solomyak, Boris
37
2016
Invariant measures on stationary Bratteli diagrams. Zbl 1205.37009
Bezuglyi, S.; Kwiatkowski, J.; Medynets, K.; Solomyak, B.
36
2010
Consequences of pure point diffraction spectra for multiset substitution systems. Zbl 1055.37019
Lee, Jeong-Yup; Moody, Robert V.; Solomyak, Boris
33
2003
Problems on self-similar sets and self-affine sets: An update. Zbl 0946.28003
Peres, Yuval; Solomyak, Boris
30
2000
Finite rank Bratteli diagrams: structure of invariant measures. Zbl 1278.37010
Bezuglyi, S.; Kwiatkowski, J.; Medynets, K.; Solomyak, B.
30
2013
Conjugates of beta-numbers and the zero-free domain for a class of analytic functions. Zbl 0820.30007
Solomyak, Boris
30
1994
On the modulus of continuity for spectral measures in substitution dynamics. Zbl 1339.37004
Bufetov, Alexander I.; Solomyak, Boris
27
2014
On the dimension of self-similar sets. Zbl 1088.28504
Simon, Károly; Solomyak, Boris
25
2002
Two-symbol Pisot substitutions have pure discrete spectrum. Zbl 1031.11010
Hollander, Michael; Solomyak, Boris
25
2003
On representation of integers in linear numeration systems. Zbl 0856.11007
Frougny, Christiane; Solomyak, Boris
24
1996
Hausdorff dimension of limit sets for parabolic IFS with overlaps. Zbl 1046.37014
Simon, K.; Solomyak, B.; Urbański, M.
22
2001
Invariant measures for parabolic IFS with overlaps and random continued fractions. Zbl 0987.37075
Simon, K.; Solomyak, B.; Urbański, M.
21
2001
Spectrum of dynamical systems arising from Delone sets. Zbl 0988.37010
Solomyak, Boris
21
1998
Multifractal structure of Bernoulli convolutions. Zbl 1248.11054
Jordan, Thomas; Shmerkin, Pablo; Solomyak, Boris
21
2011
Hausdorff dimension for fractals invariant under multiplicative integers. Zbl 1277.37023
Kenyon, Richard; Peres, Yuval; Solomyak, Boris
21
2012
On the morphology of \(\gamma\)-expansions with deleted digits. Zbl 0834.11033
Keane, Mike; Smorodinsky, Meir; Solomyak, Boris
20
1995
Notes on Bernoulli convolutions. Zbl 1115.28009
Solomyak, Boris
19
2004
Limit theorems for self-similar tilings. Zbl 1279.37019
Bufetov, Alexander I.; Solomyak, Boris
19
2013
Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. Zbl 1358.37117
Damanik, David; Gorodetski, Anton; Solomyak, Boris
19
2015
Zeros of \(\{-1,0,1\}\) power series and connectedness loci for self-affine sets. Zbl 1122.30002
Shmerkin, Pablo; Solomyak, Boris
18
2006
On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products. Zbl 1398.37012
Hochman, Michael; Solomyak, Boris
17
2017
Pure discrete spectrum for one-dimensional substitution systems of Pisot type. Zbl 1038.37008
Sirvent, V. F.; Solomyak, B.
16
2002
On the measure of arithmetic sums of Cantor sets. Zbl 0876.28015
Solomyak, Boris
15
1997
Hausdorff dimension for horseshoes in \(\mathbb R^3\). Zbl 1056.37500
Simon, Károly; Solomyak, Boris
14
1999
Characterization of planar pseudo-self-similar tilings. Zbl 0997.52012
Priebe, Natalie M.; Solomyak, B.
14
2001
On the ‘Mandelbrot set’ for a pair of linear maps and complex Bernoulli convolutions. Zbl 1040.28015
Solomyak, Boris; Xu, Hui
14
2003
Dimensions of some fractals defined via the semigroup generated by 2 and 3. Zbl 1295.28012
Peres, Yuval; Schmeling, Joerg; Seuret, Stéphane; Solomyak, Boris
13
2014
On the spectral theory of adic transformations. Zbl 0770.28012
Solomyak, B.
13
1992
Dimension spectrum for a nonconventional ergodic average. Zbl 1287.37015
Peres, Yuval; Solomyak, Boris
13
2012
Eigenfunctions for substitution tiling systems. Zbl 1139.37009
Solomyak, Boris
13
2007
Absolute continuity of non-homogeneous self-similar measures. Zbl 1496.28004
Saglietti, Santiago; Shmerkin, Pablo; Solomyak, Boris
13
2018
The Hölder property for the spectrum of translation flows in genus two. Zbl 1386.37035
Bufetov, Alexander I.; Solomyak, Boris
13
2018
The natural extension of the \(\beta\)-transformation. Zbl 0931.28014
Dajani, K.; Kraaikamp, C.; Solomyak, B.
12
1996
On the ‘Mandelbrot set’ for pairs of linear maps: asymptotic self-similarity. Zbl 1084.37043
Solomyak, Boris
12
2005
Pisot family self-affine tilings, discrete spectrum, and the Meyer property. Zbl 1246.37031
Lee, Jeong-Yup; Solomyak, Boris
12
2012
Pure point diffractive substitution Delone sets have the Meyer property. Zbl 1168.37003
Lee, Jeong-Yup; Solomyak, Boris
12
2008
How likely is Buffon’s needle to fall near a planar Cantor set? Zbl 1046.28006
Peres, Yuval; Solomyak, Boris
11
2002
On the characterization of expansion maps for self-affine tilings. Zbl 1200.52012
Kenyon, Richard; Solomyak, Boris
11
2010
Absolute continuity for random iterated function systems with overlaps. Zbl 1122.37018
Peres, Yuval; Simon, Károly; Solomyak, Boris
11
2006
Visibility for self-similar sets of dimension one in the plane. Zbl 1126.28009
Simon, Károly; Solomyak, Boris
11
2007
Fourier decay for self-similar measures. Zbl 1497.28009
Solomyak, Boris
11
2021
Self-similar sets of zero Hausdorff measure and positive packing measure. Zbl 0963.28008
Peres, Yuval; Simon, Károly; Solomyak, Boris
10
2000
Calculuses, annihilators and hyperinvariant subspaces. Zbl 0617.47003
Solomjak, B. M.
10
1983
Absolute continuity of complex Bernoulli convolutions. Zbl 1371.28030
Shmerkin, Pablo; Solomyak, Boris
9
2016
Topological mixing for substitutions on two letters. Zbl 1087.37006
Kenyon, Richard; Sadun, Lorenzo; Solomyak, Boris
9
2005
Hausdorff dimension of the multiplicative golden mean shift. Zbl 1259.37016
Kenyon, Richard; Peres, Yuval; Solomyak, Boris
9
2011
A spectral cocycle for substitution systems and translation flows. Zbl 1462.37025
Bufetov, Alexander I.; Solomyak, Boris
9
2020
Singular substitutions of constant length. Zbl 1422.37006
Berlinkov, Artemi; Solomyak, Boris
8
2019
Approximation by polynomials with coefficients \(\pm 1\). Zbl 1081.11509
Peres, Yuval; Solomyak, Boris
8
2000
“Mandelbrot set” for a pair of linear maps: the local geometry. Zbl 1079.28006
Solomyak, Boris
8
2004
Substitutions, adic transformations, and beta-expansions. Zbl 0771.28013
Solomyak, Boris
8
1992
Functional model for dissipative operators. A coordinate-free approach. Zbl 0784.47018
Solomyak, B. M.
7
1989
On the topology of sums in powers of an algebraic number. Zbl 1243.11080
Sidorov, Nikita; Solomyak, Boris
6
2011
Spacings and pair correlations for finite Bernoulli convolutions. Zbl 1173.37038
Benjamini, Itai; Solomyak, Boris
6
2009
Non-linear iterated function systems with overlaps. Zbl 0932.54036
Solomyak, B.
5
1998
Some high-complexity Hamiltonians with purely singular continuous spectrum. Zbl 1021.34074
Damanik, D.; Solomyak, B.
5
2002
On the multiplicity of the spectrum of analytic Toeplitz operators. Zbl 0612.47027
Solomyak, B. M.
5
1986
The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition. Zbl 1099.28005
Keane, Michael; Simon, Károly; Solomyak, Boris
5
2003
Quasisymmetric conjugacy between quadratic dynamics and iterated function systems. Zbl 1236.37029
Eroğlu, Kemal Ilgar; Rohde, Steffen; Solomyak, Boris
5
2010
Positive-measure self-similar sets without interior. Zbl 1114.28005
Csörnyei, M.; Jordan, T.; Pollicott, M.; Preiss, D.; Solomyak, B.
5
2006
Hölder regularity for the spectrum of translation flows. (Régularité Hölder pour le spectre des flots de translation.) Zbl 1470.37051
Bufetov, Alexander I.; Solomyak, Boris
5
2021
On ergodic averages for parabolic product flows. (Les moyennes ergodiques des produits cartésiens des flots paraboliques.) Zbl 1414.37001
Bufetov, Alexander I.; Solomyak, Boris
5
2018
On substitution tilings and Delone sets without finite local complexity. Zbl 1414.37008
Lee, Jeong-Yup; Solomyak, Boris
5
2019
Correlation dimension for self-similar Cantor sets with overlaps. Zbl 0897.28005
Simon, Károly; Solomyak, Boris
4
1998
Spectra of Bernoulli convolutions as multipliers in \(L^p\) on the circle. Zbl 1059.47004
Sidorov, Nikita; Solomyak, Boris
4
2003
Fractals with positive length and zero Buffon needle probability. Zbl 1187.60008
Peres, Yuval; Simon, Károly; Solomyak, Boris
4
2003
Pseudo-self-affine tilings in \(\mathbb R^d\). Zbl 1085.52013
Solomyak, B. M.
4
2005
Invariant measures for non-primitive tiling substitutions. Zbl 1310.37008
Cortez, M. I.; Solomyak, B.
4
2011
The sharp Hausdorff measure condition for length of projections. Zbl 1083.28006
Peres, Yuval; Solomyak, Boris
3
2005
On a functional model for dissipative operators. Coordinate-free approach. Zbl 0735.47005
Solomyak, B. M.
3
1989
The scattering theory for almost unitary operators and a functional model. Zbl 0735.47006
Solomyak, B. M.
3
1989
The Lebesgue measure of the algebraic difference of two random Cantor sets. Zbl 1182.28013
Móra, Péter; Simon, Károly; Solomyak, Boris
3
2009
Multiplicity of the spectrum, computations, multiplications and multiplication operators. Zbl 0648.47003
Solomyak, B. M.
2
1988
Connectedness locus for pairs of affine maps and zeros of power series. Zbl 1331.28021
Solomyak, Boris
2
2015
Multiplicity of analytic Toeplitz operators. Zbl 0697.47021
Solomyak, B. M.; Volberg, A. L.
2
1989
\(L^ q\) densities for measures associated with parabolic IFS with overlaps. Zbl 1037.28012
Solomyak, Boris; Urbański, Mariusz
2
2001
On the context-freeness of the \(\theta\)-expansions of the integers. Zbl 1041.11008
Frougny, Christiane; Solomyak, Boris
2
1999
Fourier decay for homogeneous self-affine measures. Zbl 1509.28011
Solomyak, Boris
1
2022
Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem. Zbl 0646.47022
Vol’berg, A. L.; Solomyak, B. M.
1
1987
Cyclic families of functions for analytic Toeplitz operators. Zbl 0666.47017
Solomyak, B. M.
1
1989
Operator of multiplication by an analytic matrix-valued function. Zbl 0697.47022
Solomyak, B. M.; Volberg, A. L.
1
1989
On a dynamical system with discrete spectrum. Zbl 0614.47026
Solomyak, B. M.
1
1986
Scattering theory for almost unitary operators and a functional model. Zbl 0784.47019
Solomyak, B. M.
1
1989
On complete extensions of compact operators with preservation of the class. Zbl 0444.47022
Solomyak, B. M.
1
1980
The adic realization of the Morse transformation and the extension of its action to the solenoid. Zbl 1303.37004
Vershik, A. M.; Solomyak, B.
1
2009
Diophantine property of matrices and attractors of projective iterated function systems in \(\mathbb{RP}^1\). Zbl 1497.11185
Solomyak, Boris; Takahashi, Yuki
1
2021
Typical absolute continuity for classes of dynamically defined measures. Zbl 07496420
Bárány, Balázs; Simon, Károly; Solomyak, Boris; Śpiewak, Adam
1
2022
On substitution automorphisms with pure singular spectrum. Zbl 1502.37018
Bufetov, Alexander I.; Solomyak, Boris
1
2022
Delone sets and dynamical systems. Zbl 1459.37017
Solomyak, Boris
1
2020
Fourier decay for homogeneous self-affine measures. Zbl 1509.28011
Solomyak, Boris
1
2022
Typical absolute continuity for classes of dynamically defined measures. Zbl 07496420
Bárány, Balázs; Simon, Károly; Solomyak, Boris; Śpiewak, Adam
1
2022
On substitution automorphisms with pure singular spectrum. Zbl 1502.37018
Bufetov, Alexander I.; Solomyak, Boris
1
2022
Fourier decay for self-similar measures. Zbl 1497.28009
Solomyak, Boris
11
2021
Hölder regularity for the spectrum of translation flows. (Régularité Hölder pour le spectre des flots de translation.) Zbl 1470.37051
Bufetov, Alexander I.; Solomyak, Boris
5
2021
Diophantine property of matrices and attractors of projective iterated function systems in \(\mathbb{RP}^1\). Zbl 1497.11185
Solomyak, Boris; Takahashi, Yuki
1
2021
A spectral cocycle for substitution systems and translation flows. Zbl 1462.37025
Bufetov, Alexander I.; Solomyak, Boris
9
2020
Delone sets and dynamical systems. Zbl 1459.37017
Solomyak, Boris
1
2020
Singular substitutions of constant length. Zbl 1422.37006
Berlinkov, Artemi; Solomyak, Boris
8
2019
On substitution tilings and Delone sets without finite local complexity. Zbl 1414.37008
Lee, Jeong-Yup; Solomyak, Boris
5
2019
Absolute continuity of non-homogeneous self-similar measures. Zbl 1496.28004
Saglietti, Santiago; Shmerkin, Pablo; Solomyak, Boris
13
2018
The Hölder property for the spectrum of translation flows in genus two. Zbl 1386.37035
Bufetov, Alexander I.; Solomyak, Boris
13
2018
On ergodic averages for parabolic product flows. (Les moyennes ergodiques des produits cartésiens des flots paraboliques.) Zbl 1414.37001
Bufetov, Alexander I.; Solomyak, Boris
5
2018
On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products. Zbl 1398.37012
Hochman, Michael; Solomyak, Boris
17
2017
Absolute continuity of self-similar measures, their projections and convolutions. Zbl 1334.28013
Shmerkin, Pablo; Solomyak, Boris
37
2016
Absolute continuity of complex Bernoulli convolutions. Zbl 1371.28030
Shmerkin, Pablo; Solomyak, Boris
9
2016
Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. Zbl 1358.37117
Damanik, David; Gorodetski, Anton; Solomyak, Boris
19
2015
Connectedness locus for pairs of affine maps and zeros of power series. Zbl 1331.28021
Solomyak, Boris
2
2015
On the modulus of continuity for spectral measures in substitution dynamics. Zbl 1339.37004
Bufetov, Alexander I.; Solomyak, Boris
27
2014
Dimensions of some fractals defined via the semigroup generated by 2 and 3. Zbl 1295.28012
Peres, Yuval; Schmeling, Joerg; Seuret, Stéphane; Solomyak, Boris
13
2014
Finite rank Bratteli diagrams: structure of invariant measures. Zbl 1278.37010
Bezuglyi, S.; Kwiatkowski, J.; Medynets, K.; Solomyak, B.
30
2013
Limit theorems for self-similar tilings. Zbl 1279.37019
Bufetov, Alexander I.; Solomyak, Boris
19
2013
Hausdorff dimension for fractals invariant under multiplicative integers. Zbl 1277.37023
Kenyon, Richard; Peres, Yuval; Solomyak, Boris
21
2012
Dimension spectrum for a nonconventional ergodic average. Zbl 1287.37015
Peres, Yuval; Solomyak, Boris
13
2012
Pisot family self-affine tilings, discrete spectrum, and the Meyer property. Zbl 1246.37031
Lee, Jeong-Yup; Solomyak, Boris
12
2012
Multifractal structure of Bernoulli convolutions. Zbl 1248.11054
Jordan, Thomas; Shmerkin, Pablo; Solomyak, Boris
21
2011
Hausdorff dimension of the multiplicative golden mean shift. Zbl 1259.37016
Kenyon, Richard; Peres, Yuval; Solomyak, Boris
9
2011
On the topology of sums in powers of an algebraic number. Zbl 1243.11080
Sidorov, Nikita; Solomyak, Boris
6
2011
Invariant measures for non-primitive tiling substitutions. Zbl 1310.37008
Cortez, M. I.; Solomyak, B.
4
2011
Invariant measures on stationary Bratteli diagrams. Zbl 1205.37009
Bezuglyi, S.; Kwiatkowski, J.; Medynets, K.; Solomyak, B.
36
2010
On the characterization of expansion maps for self-affine tilings. Zbl 1200.52012
Kenyon, Richard; Solomyak, Boris
11
2010
Quasisymmetric conjugacy between quadratic dynamics and iterated function systems. Zbl 1236.37029
Eroğlu, Kemal Ilgar; Rohde, Steffen; Solomyak, Boris
5
2010
Spacings and pair correlations for finite Bernoulli convolutions. Zbl 1173.37038
Benjamini, Itai; Solomyak, Boris
6
2009
The Lebesgue measure of the algebraic difference of two random Cantor sets. Zbl 1182.28013
Móra, Péter; Simon, Károly; Solomyak, Boris
3
2009
The adic realization of the Morse transformation and the extension of its action to the solenoid. Zbl 1303.37004
Vershik, A. M.; Solomyak, B.
1
2009
Pure point diffractive substitution Delone sets have the Meyer property. Zbl 1168.37003
Lee, Jeong-Yup; Solomyak, Boris
12
2008
Eigenfunctions for substitution tiling systems. Zbl 1139.37009
Solomyak, Boris
13
2007
Visibility for self-similar sets of dimension one in the plane. Zbl 1126.28009
Simon, Károly; Solomyak, Boris
11
2007
Zeros of \(\{-1,0,1\}\) power series and connectedness loci for self-affine sets. Zbl 1122.30002
Shmerkin, Pablo; Solomyak, Boris
18
2006
Absolute continuity for random iterated function systems with overlaps. Zbl 1122.37018
Peres, Yuval; Simon, Károly; Solomyak, Boris
11
2006
Positive-measure self-similar sets without interior. Zbl 1114.28005
Csörnyei, M.; Jordan, T.; Pollicott, M.; Preiss, D.; Solomyak, B.
5
2006
On the ‘Mandelbrot set’ for pairs of linear maps: asymptotic self-similarity. Zbl 1084.37043
Solomyak, Boris
12
2005
Topological mixing for substitutions on two letters. Zbl 1087.37006
Kenyon, Richard; Sadun, Lorenzo; Solomyak, Boris
9
2005
Pseudo-self-affine tilings in \(\mathbb R^d\). Zbl 1085.52013
Solomyak, B. M.
4
2005
The sharp Hausdorff measure condition for length of projections. Zbl 1083.28006
Peres, Yuval; Solomyak, Boris
3
2005
Notes on Bernoulli convolutions. Zbl 1115.28009
Solomyak, Boris
19
2004
“Mandelbrot set” for a pair of linear maps: the local geometry. Zbl 1079.28006
Solomyak, Boris
8
2004
Consequences of pure point diffraction spectra for multiset substitution systems. Zbl 1055.37019
Lee, Jeong-Yup; Moody, Robert V.; Solomyak, Boris
33
2003
Two-symbol Pisot substitutions have pure discrete spectrum. Zbl 1031.11010
Hollander, Michael; Solomyak, Boris
25
2003
On the ‘Mandelbrot set’ for a pair of linear maps and complex Bernoulli convolutions. Zbl 1040.28015
Solomyak, Boris; Xu, Hui
14
2003
The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition. Zbl 1099.28005
Keane, Michael; Simon, Károly; Solomyak, Boris
5
2003
Spectra of Bernoulli convolutions as multipliers in \(L^p\) on the circle. Zbl 1059.47004
Sidorov, Nikita; Solomyak, Boris
4
2003
Fractals with positive length and zero Buffon needle probability. Zbl 1187.60008
Peres, Yuval; Simon, Károly; Solomyak, Boris
4
2003
Pure point dynamical and diffraction spectra. Zbl 1025.37004
Lee, J.-Y.; Moody, R. V.; Solomyak, B.
80
2002
On the dimension of self-similar sets. Zbl 1088.28504
Simon, Károly; Solomyak, Boris
25
2002
Pure discrete spectrum for one-dimensional substitution systems of Pisot type. Zbl 1038.37008
Sirvent, V. F.; Solomyak, B.
16
2002
How likely is Buffon’s needle to fall near a planar Cantor set? Zbl 1046.28006
Peres, Yuval; Solomyak, Boris
11
2002
Some high-complexity Hamiltonians with purely singular continuous spectrum. Zbl 1021.34074
Damanik, D.; Solomyak, B.
5
2002
Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets. Zbl 0980.28005
Peres, Yuval; Rams, Michal; Simon, Károly; Solomyak, Boris
43
2001
Hausdorff dimension of limit sets for parabolic IFS with overlaps. Zbl 1046.37014
Simon, K.; Solomyak, B.; Urbański, M.
22
2001
Invariant measures for parabolic IFS with overlaps and random continued fractions. Zbl 0987.37075
Simon, K.; Solomyak, B.; Urbański, M.
21
2001
Characterization of planar pseudo-self-similar tilings. Zbl 0997.52012
Priebe, Natalie M.; Solomyak, B.
14
2001
\(L^ q\) densities for measures associated with parabolic IFS with overlaps. Zbl 1037.28012
Solomyak, Boris; Urbański, Mariusz
2
2001
Sixty years of Bernoulli convolutions. Zbl 0961.42006
Peres, Yuval; Schlag, Wilhelm; Solomyak, Boris
158
2000
Existence of \(L^q\) dimensions and entropy dimension for self-conformal measures. Zbl 0978.28004
Peres, Yuval; Solomyak, Boris
42
2000
Problems on self-similar sets and self-affine sets: An update. Zbl 0946.28003
Peres, Yuval; Solomyak, Boris
30
2000
Self-similar sets of zero Hausdorff measure and positive packing measure. Zbl 0963.28008
Peres, Yuval; Simon, Károly; Solomyak, Boris
10
2000
Approximation by polynomials with coefficients \(\pm 1\). Zbl 1081.11509
Peres, Yuval; Solomyak, Boris
8
2000
Hausdorff dimension for horseshoes in \(\mathbb R^3\). Zbl 1056.37500
Simon, Károly; Solomyak, Boris
14
1999
On the context-freeness of the \(\theta\)-expansions of the integers. Zbl 1041.11008
Frougny, Christiane; Solomyak, Boris
2
1999
Measure and dimension for some fractal families. Zbl 0927.28006
Solomyak, Boris
91
1998
Nonperiodicity implies unique composition for self-similar translationally finite tilings. Zbl 0919.52017
Solomyak, B.
70
1998
Self-similar measures and intersections of Cantor sets. Zbl 0912.28005
Peres, Yuval; Solomyak, Boris
57
1998
Spectrum of dynamical systems arising from Delone sets. Zbl 0988.37010
Solomyak, Boris
21
1998
Non-linear iterated function systems with overlaps. Zbl 0932.54036
Solomyak, B.
5
1998
Correlation dimension for self-similar Cantor sets with overlaps. Zbl 0897.28005
Simon, Károly; Solomyak, Boris
4
1998
Dynamics of self-similar tilings. Zbl 0884.58062
Solomyak, Boris
132
1997
On the measure of arithmetic sums of Cantor sets. Zbl 0876.28015
Solomyak, Boris
15
1997
Absolute continuity of Bernoulli convolutions, a simple proof. Zbl 0867.28001
Peres, Yuval; Solomyak, Boris
76
1996
On representation of integers in linear numeration systems. Zbl 0856.11007
Frougny, Christiane; Solomyak, Boris
24
1996
The natural extension of the \(\beta\)-transformation. Zbl 0931.28014
Dajani, K.; Kraaikamp, C.; Solomyak, B.
12
1996
On the random series \(\sum\pm\lambda^ n\) (an Erdös problem). Zbl 0837.28007
Solomyak, Boris
156
1995
On the morphology of \(\gamma\)-expansions with deleted digits. Zbl 0834.11033
Keane, Mike; Smorodinsky, Meir; Solomyak, Boris
20
1995
Conjugates of beta-numbers and the zero-free domain for a class of analytic functions. Zbl 0820.30007
Solomyak, Boris
30
1994
Finite beta-expansions. Zbl 0814.68065
Frougny, Christiane; Solomyak, Boris
117
1992
On the spectral theory of adic transformations. Zbl 0770.28012
Solomyak, B.
13
1992
Substitutions, adic transformations, and beta-expansions. Zbl 0771.28013
Solomyak, Boris
8
1992
Functional model for dissipative operators. A coordinate-free approach. Zbl 0784.47018
Solomyak, B. M.
7
1989
On a functional model for dissipative operators. Coordinate-free approach. Zbl 0735.47005
Solomyak, B. M.
3
1989
The scattering theory for almost unitary operators and a functional model. Zbl 0735.47006
Solomyak, B. M.
3
1989
Multiplicity of analytic Toeplitz operators. Zbl 0697.47021
Solomyak, B. M.; Volberg, A. L.
2
1989
Cyclic families of functions for analytic Toeplitz operators. Zbl 0666.47017
Solomyak, B. M.
1
1989
Operator of multiplication by an analytic matrix-valued function. Zbl 0697.47022
Solomyak, B. M.; Volberg, A. L.
1
1989
Scattering theory for almost unitary operators and a functional model. Zbl 0784.47019
Solomyak, B. M.
1
1989
Multiplicity of the spectrum, computations, multiplications and multiplication operators. Zbl 0648.47003
Solomyak, B. M.
2
1988
Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem. Zbl 0646.47022
Vol’berg, A. L.; Solomyak, B. M.
1
1987
On the multiplicity of the spectrum of analytic Toeplitz operators. Zbl 0612.47027
Solomyak, B. M.
5
1986
On a dynamical system with discrete spectrum. Zbl 0614.47026
Solomyak, B. M.
1
1986
Calculuses, annihilators and hyperinvariant subspaces. Zbl 0617.47003
Solomjak, B. M.
10
1983
On complete extensions of compact operators with preservation of the class. Zbl 0444.47022
Solomyak, B. M.
1
1980
all top 5

Cited by 1,049 Authors

46 Solomyak, Boris
24 Akiyama, Shigeki
23 Bárány, Balázs
22 Feng, De-Jun
21 Baake, Michael
21 Lenz, Daniel H.
21 Shmerkin, Pablo S.
20 Thuswaldner, Jörg Maximilian
18 Simon, Károly
18 Urbański, Mariusz
14 Fraser, Jonathan MacDonald
14 Peres, Yuval
13 Frougny, Christiane
13 Jørgensen, Palle E. T.
12 Barge, Marcy M.
12 Berthé, Valérie
12 Bezuglyi, Sergey I.
12 Lau, Kasing
12 Masáková, Zuzana
11 Baker, Simon
11 Damanik, David
11 Falconer, Kenneth J.
11 Hare, Kevin G.
11 Lee, Jeong-Yup
11 Mihailescu, Eugen Gh.
11 Steiner, Wolfgang
10 Bufetov, Aleksandr Igorevich
10 Mañibo, Neil
10 Rams, Michał
9 Ban, Jungchao
9 Durand, Fabien
9 Frettlöh, Dirk
9 Grimm, Uwe
9 Käenmäki, Antti
9 Kong, Derong
9 Ngai, Sze-Man
9 Pelantová, Edita
9 Sidorov, Nikita A.
9 Strungaru, Nicolae
8 Allaart, Pieter C.
8 Gähler, Franz
8 Orponen, Tuomas
8 Priebe Frank, Natalie
8 Rigo, Michel
8 Sadun, Lorenzo A.
8 Sirvent, Víctor F.
8 Treviño, Rodrigo
8 Varjú, Péter Pál
8 Verger-Gaugry, Jean-Louis
7 Fan, Ai Hua
7 Fu, Yan-Song
7 Hochman, Michael
7 Hu, TianYou
7 Hu, Wen-Guei
7 Karpel, Olena
7 Kempton, Tom
7 Koivusalo, Henna
7 Moody, Robert Vaughan
7 Neunhäuserer, Jörg
7 Rapaport, Ariel
7 Surer, Paul
7 Wu, Min
6 Bandt, Christoph
6 Charlier, Emilie
6 Dajani, Karma
6 Gorodetskii, Anton Semenovich
6 He, Xinggang
6 Loridant, Benoit
6 Morris, Ian D.
6 Persson, Tomas
6 Pethő, Attila
6 Pratsiovytyi, Mykola
6 Rao, Hui
6 Siegel, Anne
6 Torbin, Grygoriy Myroslavovych
6 Vávra, Tomáš
6 Xi, Lifeng
6 Yu, Han
5 Aliste-Prieto, José
5 Barnsley, Michael Fielding
5 Barral, Julien
5 Coronel, Daniel
5 Das, Tushar Kanti
5 Deng, Qirong
5 Kesseböhmer, Marc
5 Lai, Guanyu
5 Li, Bing
5 Miao, Junjie
5 Pollicott, Mark
5 Richard, Christoph
5 Shallit, Jeffrey Outlaw
5 Simmons, David
5 Spindeler, Timo
5 Troscheit, Sascha
5 Vince, Andrew
5 Volberg, Alexander Lvovich
5 Walton, James J.
5 Wen, Zhi-Ying
5 Xiong, Ying
4 Albeverio, Sergio A.
...and 949 more Authors
all top 5

Cited in 233 Serials

89 Ergodic Theory and Dynamical Systems
51 Advances in Mathematics
40 Transactions of the American Mathematical Society
34 Journal of Mathematical Analysis and Applications
31 Monatshefte für Mathematik
31 Proceedings of the American Mathematical Society
22 Communications in Mathematical Physics
22 Theoretical Computer Science
21 Nonlinearity
21 Discrete and Continuous Dynamical Systems
20 Discrete & Computational Geometry
20 Indagationes Mathematicae. New Series
19 Journal of Functional Analysis
18 Fractals
18 Journal of Fractal Geometry
15 Israel Journal of Mathematics
15 Journal of Statistical Physics
15 Journal of Number Theory
15 Mathematische Zeitschrift
15 Journal de Théorie des Nombres de Bordeaux
14 Chaos, Solitons and Fractals
13 Mathematical Proceedings of the Cambridge Philosophical Society
12 Annales de l’Institut Fourier
11 Acta Mathematica Hungarica
10 Journal of Mathematical Physics
10 Journal of the European Mathematical Society (JEMS)
9 Journal d’Analyse Mathématique
9 Mathematics of Computation
9 Advances in Applied Mathematics
9 Geometric and Functional Analysis. GAFA
9 Dynamical Systems
8 Inventiones Mathematicae
8 Mathematische Nachrichten
8 St. Petersburg Mathematical Journal
7 Journal of the London Mathematical Society. Second Series
7 The Journal of Fourier Analysis and Applications
6 Journal of Geometry and Physics
6 Mathematika
6 Osaka Journal of Mathematics
6 Real Analysis Exchange
6 European Journal of Combinatorics
6 Experimental Mathematics
6 Journal of Mathematical Sciences (New York)
6 RAIRO. Theoretical Informatics and Applications
5 Bulletin de la Société Mathématique de France
5 Duke Mathematical Journal
5 Topology and its Applications
5 Linear Algebra and its Applications
5 Annals of Mathematics. Second Series
5 Annales Henri Poincaré
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 International Journal of Number Theory
5 Science China. Mathematics
4 Rocky Mountain Journal of Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 The Annals of Probability
4 Bulletin of the London Mathematical Society
4 Geometriae Dedicata
4 Journal of Applied Probability
4 Results in Mathematics
4 Acta Applicandae Mathematicae
4 Russian Mathematics
4 Analysis in Theory and Applications
4 Oberwolfach Reports
4 Research in Number Theory
3 Ukrainian Mathematical Journal
3 Reviews in Mathematical Physics
3 The Mathematical Intelligencer
3 Acta Arithmetica
3 Archiv der Mathematik
3 Indiana University Mathematics Journal
3 Journal of Soviet Mathematics
3 Memoirs of the American Mathematical Society
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Quaestiones Mathematicae
3 Tsukuba Journal of Mathematics
3 Information and Computation
3 Journal of Theoretical Probability
3 International Journal of Algebra and Computation
3 The Journal of Geometric Analysis
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Expositiones Mathematicae
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Journal of the Australian Mathematical Society
3 RAIRO. Theoretical Informatics and Applications
3 Journal of Spectral Theory
2 Computers & Mathematics with Applications
2 Letters in Mathematical Physics
2 Mathematical Biosciences
2 Studia Mathematica
2 The Annals of Statistics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Applied Mathematics and Computation
2 Canadian Mathematical Bulletin
2 Demonstratio Mathematica
2 Integral Equations and Operator Theory
2 Journal of Approximation Theory
2 Journal of Combinatorial Theory. Series A
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Equations
...and 133 more Serials
all top 5

Cited in 53 Fields

525 Dynamical systems and ergodic theory (37-XX)
514 Measure and integration (28-XX)
284 Number theory (11-XX)
142 Convex and discrete geometry (52-XX)
131 Probability theory and stochastic processes (60-XX)
80 Harmonic analysis on Euclidean spaces (42-XX)
76 Computer science (68-XX)
64 Operator theory (47-XX)
40 Functional analysis (46-XX)
38 Combinatorics (05-XX)
35 Statistical mechanics, structure of matter (82-XX)
32 Functions of a complex variable (30-XX)
31 Real functions (26-XX)
22 General topology (54-XX)
21 Group theory and generalizations (20-XX)
20 Topological groups, Lie groups (22-XX)
20 Quantum theory (81-XX)
16 Partial differential equations (35-XX)
15 Abstract harmonic analysis (43-XX)
14 Difference and functional equations (39-XX)
13 Mathematical logic and foundations (03-XX)
12 Ordinary differential equations (34-XX)
12 Information and communication theory, circuits (94-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
9 Field theory and polynomials (12-XX)
9 Numerical analysis (65-XX)
8 Algebraic topology (55-XX)
8 Statistics (62-XX)
7 Manifolds and cell complexes (57-XX)
6 Biology and other natural sciences (92-XX)
5 General and overarching topics; collections (00-XX)
5 Algebraic geometry (14-XX)
5 Sequences, series, summability (40-XX)
5 Approximations and expansions (41-XX)
5 Integral equations (45-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Geometry (51-XX)
4 Differential geometry (53-XX)
4 Optics, electromagnetic theory (78-XX)
3 \(K\)-theory (19-XX)
3 Potential theory (31-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Systems theory; control (93-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Category theory; homological algebra (18-XX)
2 Special functions (33-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Integral transforms, operational calculus (44-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year