Edit Profile (opens in new tab) Solomyak, Boris Compute Distance To: Compute Author ID: solomyak.boris Published as: Solomyak, Boris; Solomyak, B. M.; Solomyak, B.; Solomjak, B. M. more...less External Links: MGP Documents Indexed: 116 Publications since 1980 Co-Authors: 49 Co-Authors with 81 Joint Publications 1,805 Co-Co-Authors all top 5 Co-Authors 35 single-authored 17 Peres, Yuval 13 Simon, Károly 8 Bufetov, Aleksandr Igorevich 6 Lee, Jeong-Yup 6 Volberg, Alexander Lvovich 5 Shmerkin, Pablo S. 4 Kenyon, Richard W. 3 Frougny, Christiane 3 Medynets, Konstantin 3 Urbański, Mariusz 2 Benjamini, Itai 2 Bezuglyi, Sergey I. 2 Damanik, David 2 Dzliev, S. V. 2 Jordan, Thomas M. 2 Keane, Michael S. 2 Kwiatkowski, Jan 2 Moody, Robert Vaughan 2 Savkin, Andrey V. 2 Sidorov, Nikita A. 2 Yakubovich, E. D. 1 Bárány, Balázs 1 Berlinkov, Artemi 1 Cortez, Maria Isabel 1 Csörnyei, Marianna 1 Dajani, Karma 1 Eroğlu, Kemal Ilgar 1 Gorodetskii, Anton Semenovich 1 Gurel-Gurevich, Ori 1 Hochman, Michael 1 Hollander, Michael Israel 1 Kraaikamp, Cor 1 Mora, Peter 1 Pollicott, Mark 1 Preiss, David 1 Priebe, Natalie M. 1 Rams, Michał 1 Rohde, Steffen 1 Sadun, Lorenzo A. 1 Saglietti, Santiago 1 Schlag, Wilhelm 1 Schmeling, Joerg 1 Seuret, Stéphane 1 Sirvent, Víctor F. 1 Smorodinsky, Meir 1 Śpiewak, Adam 1 Takahashi, Yuki 1 Vershik, Anatoliĭ Moiseevich 1 Xu, Hui 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 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 all top 5 Fields 55 Dynamical systems and ergodic theory (37-XX) 49 Measure and integration (28-XX) 24 Operator theory (47-XX) 17 Number theory (11-XX) 15 Convex and discrete geometry (52-XX) 12 Probability theory and stochastic processes (60-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Functions of a complex variable (30-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 5 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 1,784 times in 1,019 Documents Cited by ▼ Year ▼ Sixty years of Bernoulli convolutions. Zbl 0961.42006Peres, Yuval; Schlag, Wilhelm; Solomyak, Boris 141 2000 On the random series \(\sum\pm\lambda^ n\) (an Erdös problem). Zbl 0837.28007Solomyak, Boris 140 1995 Dynamics of self-similar tilings. Zbl 0884.58062Solomyak, Boris 127 1997 Finite beta-expansions. Zbl 0814.68065Frougny, Christiane; Solomyak, Boris 108 1992 Measure and dimension for some fractal families. Zbl 0927.28006Solomyak, Boris 81 1998 Pure point dynamical and diffraction spectra. Zbl 1025.37004Lee, J.-Y.; Moody, R. V.; Solomyak, B. 75 2002 Absolute continuity of Bernoulli convolutions, a simple proof. Zbl 0867.28001Peres, Yuval; Solomyak, Boris 69 1996 Nonperiodicity implies unique composition for self-similar translationally finite tilings. Zbl 0919.52017Solomyak, B. 64 1998 Self-similar measures and intersections of Cantor sets. Zbl 0912.28005Peres, Yuval; Solomyak, Boris 55 1998 Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets. Zbl 0980.28005Peres, Yuval; Rams, Michal; Simon, Károly; Solomyak, Boris 38 2001 Existence of \(L^q\) dimensions and entropy dimension for self-conformal measures. Zbl 0978.28004Peres, Yuval; Solomyak, Boris 37 2000 Consequences of pure point diffraction spectra for multiset substitution systems. Zbl 1055.37019Lee, Jeong-Yup; Moody, Robert V.; Solomyak, Boris 31 2003 Invariant measures on stationary Bratteli diagrams. Zbl 1205.37009Bezuglyi, S.; Kwiatkowski, J.; Medynets, K.; Solomyak, B. 31 2010 Absolute continuity of self-similar measures, their projections and convolutions. Zbl 1334.28013Shmerkin, Pablo; Solomyak, Boris 31 2016 Conjugates of beta-numbers and the zero-free domain for a class of analytic functions. Zbl 0820.30007Solomyak, Boris 30 1994 Finite rank Bratteli diagrams: structure of invariant measures. Zbl 1278.37010Bezuglyi, S.; Kwiatkowski, J.; Medynets, K.; Solomyak, B. 28 2013 Problems on self-similar sets and self-affine sets: An update. Zbl 0946.28003Peres, Yuval; Solomyak, Boris 28 2000 On the dimension of self-similar sets. Zbl 1088.28504Simon, Károly; Solomyak, Boris 23 2002 On the modulus of continuity for spectral measures in substitution dynamics. Zbl 1339.37004Bufetov, Alexander I.; Solomyak, Boris 23 2014 Invariant measures for parabolic IFS with overlaps and random continued fractions. Zbl 0987.37075Simon, K.; Solomyak, B.; Urbański, M. 21 2001 Hausdorff dimension of limit sets for parabolic IFS with overlaps. Zbl 1046.37014Simon, K.; Solomyak, B.; Urbański, M. 20 2001 Two-symbol Pisot substitutions have pure discrete spectrum. Zbl 1031.11010Hollander, Michael; Solomyak, Boris 20 2003 Multifractal structure of Bernoulli convolutions. Zbl 1248.11054Jordan, Thomas; Shmerkin, Pablo; Solomyak, Boris 20 2011 On representation of integers in linear numeration systems. Zbl 0856.11007Frougny, Christiane; Solomyak, Boris 19 1996 Hausdorff dimension for fractals invariant under multiplicative integers. Zbl 1277.37023Kenyon, Richard; Peres, Yuval; Solomyak, Boris 19 2012 Spectrum of dynamical systems arising from Delone sets. Zbl 0988.37010Solomyak, Boris 19 1998 On the morphology of \(\gamma\)-expansions with deleted digits. Zbl 0834.11033Keane, Mike; Smorodinsky, Meir; Solomyak, Boris 19 1995 Limit theorems for self-similar tilings. Zbl 1279.37019Bufetov, Alexander I.; Solomyak, Boris 17 2013 Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. Zbl 1358.37117Damanik, David; Gorodetski, Anton; Solomyak, Boris 17 2015 Zeros of \(\{-1,0,1\}\) power series and connectedness loci for self-affine sets. Zbl 1122.30002Shmerkin, Pablo; Solomyak, Boris 16 2006 Notes on Bernoulli convolutions. Zbl 1115.28009Solomyak, Boris 15 2004 Characterization of planar pseudo-self-similar tilings. Zbl 0997.52012Priebe, Natalie M.; Solomyak, B. 14 2001 Pure discrete spectrum for one-dimensional substitution systems of Pisot type. Zbl 1038.37008Sirvent, V. F.; Solomyak, B. 13 2002 On the spectral theory of adic transformations. Zbl 0770.28012Solomyak, B. 12 1992 Pisot family self-affine tilings, discrete spectrum, and the Meyer property. Zbl 1246.37031Lee, Jeong-Yup; Solomyak, Boris 12 2012 Eigenfunctions for substitution tiling systems. Zbl 1139.37009Solomyak, Boris 12 2007 On the measure of arithmetic sums of Cantor sets. Zbl 0876.28015Solomyak, Boris 12 1997 On the ‘Mandelbrot set’ for a pair of linear maps and complex Bernoulli convolutions. Zbl 1040.28015Solomyak, Boris; Xu, Hui 12 2003 On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products. Zbl 1398.37012Hochman, Michael; Solomyak, Boris 12 2017 Dimension spectrum for a nonconventional ergodic average. Zbl 1287.37015Peres, Yuval; Solomyak, Boris 12 2012 Dimensions of some fractals defined via the semigroup generated by 2 and 3. Zbl 1295.28012Peres, Yuval; Schmeling, Joerg; Seuret, Stéphane; Solomyak, Boris 12 2014 On the ‘Mandelbrot set’ for pairs of linear maps: asymptotic self-similarity. Zbl 1084.37043Solomyak, Boris 11 2005 The natural extension of the \(\beta\)-transformation. Zbl 0931.28014Dajani, K.; Kraaikamp, C.; Solomyak, B. 11 1996 Hausdorff dimension for horseshoes in \(\mathbb R^3\). Zbl 1056.37500Simon, Károly; Solomyak, Boris 11 1999 Pure point diffractive substitution Delone sets have the Meyer property. Zbl 1168.37003Lee, Jeong-Yup; Solomyak, Boris 11 2008 The Hölder property for the spectrum of translation flows in genus two. Zbl 1386.37035Bufetov, Alexander I.; Solomyak, Boris 11 2018 Calculuses, annihilators and hyperinvariant subspaces. Zbl 0617.47003Solomjak, B. M. 10 1983 How likely is Buffon’s needle to fall near a planar Cantor set? Zbl 1046.28006Peres, Yuval; Solomyak, Boris 10 2002 On the characterization of expansion maps for self-affine tilings. Zbl 1200.52012Kenyon, Richard; Solomyak, Boris 10 2010 Self-similar sets of zero Hausdorff measure and positive packing measure. Zbl 0963.28008Peres, Yuval; Simon, Károly; Solomyak, Boris 10 2000 Absolute continuity for random iterated function systems with overlaps. Zbl 1122.37018Peres, Yuval; Simon, Károly; Solomyak, Boris 9 2006 Visibility for self-similar sets of dimension one in the plane. Zbl 1126.28009Simon, Károly; Solomyak, Boris 9 2007 Absolute continuity of non-homogeneous self-similar measures. Zbl 1496.28004Saglietti, Santiago; Shmerkin, Pablo; Solomyak, Boris 8 2018 Approximation by polynomials with coefficients \(\pm 1\). Zbl 1081.11509Peres, Yuval; Solomyak, Boris 8 2000 Absolute continuity of complex Bernoulli convolutions. Zbl 1371.28030Shmerkin, Pablo; Solomyak, Boris 8 2016 Functional model for dissipative operators. A coordinate-free approach. Zbl 0784.47018Solomyak, B. M. 7 1989 Hausdorff dimension of the multiplicative golden mean shift. Zbl 1259.37016Kenyon, Richard; Peres, Yuval; Solomyak, Boris 7 2011 Substitutions, adic transformations, and beta-expansions. Zbl 0771.28013Solomyak, Boris 7 1992 “Mandelbrot set” for a pair of linear maps: the local geometry. Zbl 1079.28006Solomyak, Boris 7 2004 Fourier decay for self-similar measures. Zbl 1497.28009Solomyak, Boris 6 2021 On the topology of sums in powers of an algebraic number. Zbl 1243.11080Sidorov, Nikita; Solomyak, Boris 6 2011 Topological mixing for substitutions on two letters. Zbl 1087.37006Kenyon, Richard; Sadun, Lorenzo; Solomyak, Boris 6 2005 Singular substitutions of constant length. Zbl 1422.37006Berlinkov, Artemi; Solomyak, Boris 6 2019 Positive-measure self-similar sets without interior. Zbl 1114.28005Csörnyei, M.; Jordan, T.; Pollicott, M.; Preiss, D.; Solomyak, B. 5 2006 A spectral cocycle for substitution systems and translation flows. Zbl 1462.37025Bufetov, Alexander I.; Solomyak, Boris 5 2020 On the multiplicity of the spectrum of analytic Toeplitz operators. Zbl 0612.47027Solomyak, B. M. 5 1986 Some high-complexity Hamiltonians with purely singular continuous spectrum. Zbl 1021.34074Damanik, D.; Solomyak, B. 5 2002 Non-linear iterated function systems with overlaps. Zbl 0932.54036Solomyak, B. 5 1998 The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition. Zbl 1099.28005Keane, Michael; Simon, Károly; Solomyak, Boris 5 2003 Spectra of Bernoulli convolutions as multipliers in \(L^p\) on the circle. Zbl 1059.47004Sidorov, Nikita; Solomyak, Boris 4 2003 Spacings and pair correlations for finite Bernoulli convolutions. Zbl 1173.37038Benjamini, Itai; Solomyak, Boris 4 2009 Invariant measures for non-primitive tiling substitutions. Zbl 1310.37008Cortez, M. I.; Solomyak, B. 4 2011 On substitution tilings and Delone sets without finite local complexity. Zbl 1414.37008Lee, Jeong-Yup; Solomyak, Boris 4 2019 Hölder regularity for the spectrum of translation flows. (Régularité Hölder pour le spectre des flots de translation.) Zbl 1470.37051Bufetov, Alexander I.; Solomyak, Boris 4 2021 Pseudo-self-affine tilings in \(\mathbb R^d\). Zbl 1085.52013Solomyak, B. M. 4 2005 Correlation dimension for self-similar Cantor sets with overlaps. Zbl 0897.28005Simon, Károly; Solomyak, Boris 3 1998 Fractals with positive length and zero Buffon needle probability. Zbl 1187.60008Peres, Yuval; Simon, Károly; Solomyak, Boris 3 2003 The Lebesgue measure of the algebraic difference of two random Cantor sets. Zbl 1182.28013Móra, Péter; Simon, Károly; Solomyak, Boris 3 2009 The sharp Hausdorff measure condition for length of projections. Zbl 1083.28006Peres, Yuval; Solomyak, Boris 3 2005 On ergodic averages for parabolic product flows. (Les moyennes ergodiques des produits cartésiens des flots paraboliques.) Zbl 1414.37001Bufetov, Alexander I.; Solomyak, Boris 3 2018 On the context-freeness of the \(\theta\)-expansions of the integers. Zbl 1041.11008Frougny, Christiane; Solomyak, Boris 2 1999 Multiplicity of the spectrum, computations, multiplications and multiplication operators. Zbl 0648.47003Solomyak, B. M. 2 1988 On a functional model for dissipative operators. Coordinate-free approach. Zbl 0735.47005Solomyak, B. M. 2 1989 The scattering theory for almost unitary operators and a functional model. Zbl 0735.47006Solomyak, B. M. 2 1989 Multiplicity of analytic Toeplitz operators. Zbl 0697.47021Solomyak, B. M.; Volberg, A. L. 2 1989 Quasisymmetric conjugacy between quadratic dynamics and iterated function systems. Zbl 1236.37029Eroğlu, Kemal Ilgar; Rohde, Steffen; Solomyak, Boris 2 2010 Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem. Zbl 0646.47022Vol’berg, A. L.; Solomyak, B. M. 1 1987 \(L^ q\) densities for measures associated with parabolic IFS with overlaps. Zbl 1037.28012Solomyak, Boris; Urbański, Mariusz 1 2001 Operator of multiplication by an analytic matrix-valued function. Zbl 0697.47022Solomyak, B. M.; Volberg, A. L. 1 1989 On complete extensions of compact operators with preservation of the class. Zbl 0444.47022Solomyak, B. M. 1 1980 Cyclic families of functions for analytic Toeplitz operators. Zbl 0666.47017Solomyak, B. M. 1 1989 Connectedness locus for pairs of affine maps and zeros of power series. Zbl 1331.28021Solomyak, Boris 1 2015 The adic realization of the Morse transformation and the extension of its action to the solenoid. Zbl 1303.37004Vershik, A. M.; Solomyak, B. 1 2009 Diophantine property of matrices and attractors of projective iterated function systems in \(\mathbb{RP}^1\). Zbl 1497.11185Solomyak, Boris; Takahashi, Yuki 1 2021 Typical absolute continuity for classes of dynamically defined measures. Zbl 07496420Bárány, Balázs; Simon, Károly; Solomyak, Boris; Śpiewak, Adam 1 2022 Typical absolute continuity for classes of dynamically defined measures. Zbl 07496420Bárány, Balázs; Simon, Károly; Solomyak, Boris; Śpiewak, Adam 1 2022 Fourier decay for self-similar measures. Zbl 1497.28009Solomyak, Boris 6 2021 Hölder regularity for the spectrum of translation flows. (Régularité Hölder pour le spectre des flots de translation.) Zbl 1470.37051Bufetov, Alexander I.; Solomyak, Boris 4 2021 Diophantine property of matrices and attractors of projective iterated function systems in \(\mathbb{RP}^1\). Zbl 1497.11185Solomyak, Boris; Takahashi, Yuki 1 2021 A spectral cocycle for substitution systems and translation flows. Zbl 1462.37025Bufetov, Alexander I.; Solomyak, Boris 5 2020 Singular substitutions of constant length. Zbl 1422.37006Berlinkov, Artemi; Solomyak, Boris 6 2019 On substitution tilings and Delone sets without finite local complexity. Zbl 1414.37008Lee, Jeong-Yup; Solomyak, Boris 4 2019 The Hölder property for the spectrum of translation flows in genus two. Zbl 1386.37035Bufetov, Alexander I.; Solomyak, Boris 11 2018 Absolute continuity of non-homogeneous self-similar measures. Zbl 1496.28004Saglietti, Santiago; Shmerkin, Pablo; Solomyak, Boris 8 2018 On ergodic averages for parabolic product flows. (Les moyennes ergodiques des produits cartésiens des flots paraboliques.) Zbl 1414.37001Bufetov, Alexander I.; Solomyak, Boris 3 2018 On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products. Zbl 1398.37012Hochman, Michael; Solomyak, Boris 12 2017 Absolute continuity of self-similar measures, their projections and convolutions. Zbl 1334.28013Shmerkin, Pablo; Solomyak, Boris 31 2016 Absolute continuity of complex Bernoulli convolutions. Zbl 1371.28030Shmerkin, Pablo; Solomyak, Boris 8 2016 Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. Zbl 1358.37117Damanik, David; Gorodetski, Anton; Solomyak, Boris 17 2015 Connectedness locus for pairs of affine maps and zeros of power series. Zbl 1331.28021Solomyak, Boris 1 2015 On the modulus of continuity for spectral measures in substitution dynamics. Zbl 1339.37004Bufetov, Alexander I.; Solomyak, Boris 23 2014 Dimensions of some fractals defined via the semigroup generated by 2 and 3. Zbl 1295.28012Peres, Yuval; Schmeling, Joerg; Seuret, Stéphane; Solomyak, Boris 12 2014 Finite rank Bratteli diagrams: structure of invariant measures. Zbl 1278.37010Bezuglyi, S.; Kwiatkowski, J.; Medynets, K.; Solomyak, B. 28 2013 Limit theorems for self-similar tilings. Zbl 1279.37019Bufetov, Alexander I.; Solomyak, Boris 17 2013 Hausdorff dimension for fractals invariant under multiplicative integers. Zbl 1277.37023Kenyon, Richard; Peres, Yuval; Solomyak, Boris 19 2012 Pisot family self-affine tilings, discrete spectrum, and the Meyer property. Zbl 1246.37031Lee, Jeong-Yup; Solomyak, Boris 12 2012 Dimension spectrum for a nonconventional ergodic average. Zbl 1287.37015Peres, Yuval; Solomyak, Boris 12 2012 Multifractal structure of Bernoulli convolutions. Zbl 1248.11054Jordan, Thomas; Shmerkin, Pablo; Solomyak, Boris 20 2011 Hausdorff dimension of the multiplicative golden mean shift. Zbl 1259.37016Kenyon, Richard; Peres, Yuval; Solomyak, Boris 7 2011 On the topology of sums in powers of an algebraic number. Zbl 1243.11080Sidorov, Nikita; Solomyak, Boris 6 2011 Invariant measures for non-primitive tiling substitutions. Zbl 1310.37008Cortez, M. I.; Solomyak, B. 4 2011 Invariant measures on stationary Bratteli diagrams. Zbl 1205.37009Bezuglyi, S.; Kwiatkowski, J.; Medynets, K.; Solomyak, B. 31 2010 On the characterization of expansion maps for self-affine tilings. Zbl 1200.52012Kenyon, Richard; Solomyak, Boris 10 2010 Quasisymmetric conjugacy between quadratic dynamics and iterated function systems. Zbl 1236.37029Eroğlu, Kemal Ilgar; Rohde, Steffen; Solomyak, Boris 2 2010 Spacings and pair correlations for finite Bernoulli convolutions. Zbl 1173.37038Benjamini, Itai; Solomyak, Boris 4 2009 The Lebesgue measure of the algebraic difference of two random Cantor sets. Zbl 1182.28013Móra, Péter; Simon, Károly; Solomyak, Boris 3 2009 The adic realization of the Morse transformation and the extension of its action to the solenoid. Zbl 1303.37004Vershik, A. M.; Solomyak, B. 1 2009 Pure point diffractive substitution Delone sets have the Meyer property. Zbl 1168.37003Lee, Jeong-Yup; Solomyak, Boris 11 2008 Eigenfunctions for substitution tiling systems. Zbl 1139.37009Solomyak, Boris 12 2007 Visibility for self-similar sets of dimension one in the plane. Zbl 1126.28009Simon, Károly; Solomyak, Boris 9 2007 Zeros of \(\{-1,0,1\}\) power series and connectedness loci for self-affine sets. Zbl 1122.30002Shmerkin, Pablo; Solomyak, Boris 16 2006 Absolute continuity for random iterated function systems with overlaps. Zbl 1122.37018Peres, Yuval; Simon, Károly; Solomyak, Boris 9 2006 Positive-measure self-similar sets without interior. Zbl 1114.28005Csörnyei, M.; Jordan, T.; Pollicott, M.; Preiss, D.; Solomyak, B. 5 2006 On the ‘Mandelbrot set’ for pairs of linear maps: asymptotic self-similarity. Zbl 1084.37043Solomyak, Boris 11 2005 Topological mixing for substitutions on two letters. Zbl 1087.37006Kenyon, Richard; Sadun, Lorenzo; Solomyak, Boris 6 2005 Pseudo-self-affine tilings in \(\mathbb R^d\). Zbl 1085.52013Solomyak, B. M. 4 2005 The sharp Hausdorff measure condition for length of projections. Zbl 1083.28006Peres, Yuval; Solomyak, Boris 3 2005 Notes on Bernoulli convolutions. Zbl 1115.28009Solomyak, Boris 15 2004 “Mandelbrot set” for a pair of linear maps: the local geometry. Zbl 1079.28006Solomyak, Boris 7 2004 Consequences of pure point diffraction spectra for multiset substitution systems. Zbl 1055.37019Lee, Jeong-Yup; Moody, Robert V.; Solomyak, Boris 31 2003 Two-symbol Pisot substitutions have pure discrete spectrum. Zbl 1031.11010Hollander, Michael; Solomyak, Boris 20 2003 On the ‘Mandelbrot set’ for a pair of linear maps and complex Bernoulli convolutions. Zbl 1040.28015Solomyak, Boris; Xu, Hui 12 2003 The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition. Zbl 1099.28005Keane, Michael; Simon, Károly; Solomyak, Boris 5 2003 Spectra of Bernoulli convolutions as multipliers in \(L^p\) on the circle. Zbl 1059.47004Sidorov, Nikita; Solomyak, Boris 4 2003 Fractals with positive length and zero Buffon needle probability. Zbl 1187.60008Peres, Yuval; Simon, Károly; Solomyak, Boris 3 2003 Pure point dynamical and diffraction spectra. Zbl 1025.37004Lee, J.-Y.; Moody, R. V.; Solomyak, B. 75 2002 On the dimension of self-similar sets. Zbl 1088.28504Simon, Károly; Solomyak, Boris 23 2002 Pure discrete spectrum for one-dimensional substitution systems of Pisot type. Zbl 1038.37008Sirvent, V. F.; Solomyak, B. 13 2002 How likely is Buffon’s needle to fall near a planar Cantor set? Zbl 1046.28006Peres, Yuval; Solomyak, Boris 10 2002 Some high-complexity Hamiltonians with purely singular continuous spectrum. Zbl 1021.34074Damanik, D.; Solomyak, B. 5 2002 Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets. Zbl 0980.28005Peres, Yuval; Rams, Michal; Simon, Károly; Solomyak, Boris 38 2001 Invariant measures for parabolic IFS with overlaps and random continued fractions. Zbl 0987.37075Simon, K.; Solomyak, B.; Urbański, M. 21 2001 Hausdorff dimension of limit sets for parabolic IFS with overlaps. Zbl 1046.37014Simon, K.; Solomyak, B.; Urbański, M. 20 2001 Characterization of planar pseudo-self-similar tilings. Zbl 0997.52012Priebe, Natalie M.; Solomyak, B. 14 2001 \(L^ q\) densities for measures associated with parabolic IFS with overlaps. Zbl 1037.28012Solomyak, Boris; Urbański, Mariusz 1 2001 Sixty years of Bernoulli convolutions. Zbl 0961.42006Peres, Yuval; Schlag, Wilhelm; Solomyak, Boris 141 2000 Existence of \(L^q\) dimensions and entropy dimension for self-conformal measures. Zbl 0978.28004Peres, Yuval; Solomyak, Boris 37 2000 Problems on self-similar sets and self-affine sets: An update. Zbl 0946.28003Peres, Yuval; Solomyak, Boris 28 2000 Self-similar sets of zero Hausdorff measure and positive packing measure. Zbl 0963.28008Peres, Yuval; Simon, Károly; Solomyak, Boris 10 2000 Approximation by polynomials with coefficients \(\pm 1\). Zbl 1081.11509Peres, Yuval; Solomyak, Boris 8 2000 Hausdorff dimension for horseshoes in \(\mathbb R^3\). Zbl 1056.37500Simon, Károly; Solomyak, Boris 11 1999 On the context-freeness of the \(\theta\)-expansions of the integers. Zbl 1041.11008Frougny, Christiane; Solomyak, Boris 2 1999 Measure and dimension for some fractal families. Zbl 0927.28006Solomyak, Boris 81 1998 Nonperiodicity implies unique composition for self-similar translationally finite tilings. Zbl 0919.52017Solomyak, B. 64 1998 Self-similar measures and intersections of Cantor sets. Zbl 0912.28005Peres, Yuval; Solomyak, Boris 55 1998 Spectrum of dynamical systems arising from Delone sets. Zbl 0988.37010Solomyak, Boris 19 1998 Non-linear iterated function systems with overlaps. Zbl 0932.54036Solomyak, B. 5 1998 Correlation dimension for self-similar Cantor sets with overlaps. Zbl 0897.28005Simon, Károly; Solomyak, Boris 3 1998 Dynamics of self-similar tilings. Zbl 0884.58062Solomyak, Boris 127 1997 On the measure of arithmetic sums of Cantor sets. Zbl 0876.28015Solomyak, Boris 12 1997 Absolute continuity of Bernoulli convolutions, a simple proof. Zbl 0867.28001Peres, Yuval; Solomyak, Boris 69 1996 On representation of integers in linear numeration systems. Zbl 0856.11007Frougny, Christiane; Solomyak, Boris 19 1996 The natural extension of the \(\beta\)-transformation. Zbl 0931.28014Dajani, K.; Kraaikamp, C.; Solomyak, B. 11 1996 On the random series \(\sum\pm\lambda^ n\) (an Erdös problem). Zbl 0837.28007Solomyak, Boris 140 1995 On the morphology of \(\gamma\)-expansions with deleted digits. Zbl 0834.11033Keane, Mike; Smorodinsky, Meir; Solomyak, Boris 19 1995 Conjugates of beta-numbers and the zero-free domain for a class of analytic functions. Zbl 0820.30007Solomyak, Boris 30 1994 Finite beta-expansions. Zbl 0814.68065Frougny, Christiane; Solomyak, Boris 108 1992 On the spectral theory of adic transformations. Zbl 0770.28012Solomyak, B. 12 1992 Substitutions, adic transformations, and beta-expansions. Zbl 0771.28013Solomyak, Boris 7 1992 Functional model for dissipative operators. A coordinate-free approach. Zbl 0784.47018Solomyak, B. M. 7 1989 On a functional model for dissipative operators. Coordinate-free approach. Zbl 0735.47005Solomyak, B. M. 2 1989 The scattering theory for almost unitary operators and a functional model. Zbl 0735.47006Solomyak, B. M. 2 1989 Multiplicity of analytic Toeplitz operators. Zbl 0697.47021Solomyak, B. M.; Volberg, A. L. 2 1989 Operator of multiplication by an analytic matrix-valued function. Zbl 0697.47022Solomyak, B. M.; Volberg, A. L. 1 1989 Cyclic families of functions for analytic Toeplitz operators. Zbl 0666.47017Solomyak, B. M. 1 1989 Multiplicity of the spectrum, computations, multiplications and multiplication operators. Zbl 0648.47003Solomyak, B. M. 2 1988 Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem. Zbl 0646.47022Vol’berg, A. L.; Solomyak, B. M. 1 1987 On the multiplicity of the spectrum of analytic Toeplitz operators. Zbl 0612.47027Solomyak, B. M. 5 1986 Calculuses, annihilators and hyperinvariant subspaces. Zbl 0617.47003Solomjak, B. M. 10 1983 On complete extensions of compact operators with preservation of the class. Zbl 0444.47022Solomyak, B. M. 1 1980 all cited Publications top 5 cited Publications all top 5 Cited by 952 Authors 44 Solomyak, Boris 24 Akiyama, Shigeki 20 Baake, Michael 20 Bárány, Balázs 20 Lenz, Daniel H. 19 Shmerkin, Pablo S. 19 Thuswaldner, Jörg Maximilian 18 Feng, De-Jun 17 Urbański, Mariusz 16 Simon, Károly 13 Frougny, Christiane 13 Peres, Yuval 12 Barge, Marcy M. 12 Fraser, Jonathan MacDonald 12 Lau, Kasing 11 Berthé, Valérie 11 Bezuglyi, Sergey I. 11 Jørgensen, Palle E. T. 11 Lee, Jeong-Yup 11 Masáková, Zuzana 11 Mihailescu, Eugen Gh. 10 Baker, Simon 10 Damanik, David 10 Falconer, Kenneth J. 10 Hare, Kevin G. 10 Rams, Michał 10 Steiner, Wolfgang 9 Bufetov, Aleksandr Igorevich 9 Frettlöh, Dirk 9 Kong, Derong 9 Ngai, Sze-Man 8 Allaart, Pieter C. 8 Ban, Jungchao 8 Fan, Ai Hua 8 Gähler, Franz 8 Grimm, Uwe 8 Mañibo, Neil 8 Pelantová, Edita 8 Priebe Frank, Natalie 8 Sidorov, Nikita A. 8 Sirvent, Víctor F. 8 Verger-Gaugry, Jean-Louis 7 Durand, Fabien 7 Fu, Yan-Song 7 Hochman, Michael 7 Hu, TianYou 7 Käenmäki, Antti 7 Karpel, Olena 7 Kempton, Tom 7 Moody, Robert Vaughan 7 Rapaport, Ariel 7 Sadun, Lorenzo A. 7 Strungaru, Nicolae 7 Surer, Paul 7 Treviño, Rodrigo 7 Varjú, Péter Pál 7 Wu, Min 6 Bandt, Christoph 6 Dajani, Karma 6 He, Xinggang 6 Hu, Wen-Guei 6 Koivusalo, Henna 6 Loridant, Benoit 6 Neunhäuserer, Jörg 6 Persson, Tomas 6 Pethő, Attila 6 Pratsiovytyi, Mykola 6 Rao, Hui 6 Rigo, Michel 6 Torbin, Grygoriy Myroslavovych 6 Vávra, Tomáš 6 Xi, Lifeng 5 Aliste-Prieto, José 5 Barral, Julien 5 Charlier, Emilie 5 Coronel, Daniel 5 Das, Tushar Kanti 5 Deng, Qirong 5 Gorodetskii, Anton Semenovich 5 Li, Bing 5 Morris, Ian D. 5 Orponen, Tuomas 5 Pollicott, Mark 5 Richard, Christoph 5 Siegel, Anne 5 Simmons, David 5 Vince, Andrew 5 Wen, Zhi-Ying 5 Yu, Han 4 Albeverio, Sergio A. 4 Barański, Krzysztof 4 Barnsley, Michael Fielding 4 Barreira, Luis Manuel 4 Berenhaut, Kenneth S. 4 Cisternino, Célia 4 Dombek, Daniel 4 Fuhrmann, Gabriel 4 Gambaudo, Jean-Marc 4 Gazeau, Jean-Pierre 4 Gelfert, Katrin Grit ...and 852 more Authors all top 5 Cited in 221 Serials 82 Ergodic Theory and Dynamical Systems 47 Advances in Mathematics 39 Transactions of the American Mathematical Society 31 Journal of Mathematical Analysis and Applications 31 Proceedings of the American Mathematical Society 30 Monatshefte für Mathematik 22 Theoretical Computer Science 21 Communications in Mathematical Physics 20 Indagationes Mathematicae. New Series 19 Journal of Functional Analysis 19 Discrete & Computational Geometry 17 Fractals 17 Discrete and Continuous Dynamical Systems 15 Journal of Statistical Physics 15 Mathematische Zeitschrift 15 Journal de Théorie des Nombres de Bordeaux 15 Journal of Fractal Geometry 14 Israel Journal of Mathematics 14 Chaos, Solitons and Fractals 13 Journal of Number Theory 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Nonlinearity 12 Annales de l’Institut Fourier 11 Acta Mathematica Hungarica 10 Journal d’Analyse Mathématique 9 Journal of Mathematical Physics 9 Mathematics of Computation 8 Inventiones Mathematicae 8 Advances in Applied Mathematics 8 Geometric and Functional Analysis. GAFA 8 Dynamical Systems 7 Journal of the European Mathematical Society (JEMS) 6 Journal of Geometry and Physics 6 Osaka Journal of Mathematics 6 European Journal of Combinatorics 6 Journal of Mathematical Sciences (New York) 6 St. Petersburg Mathematical Journal 6 The Journal of Fourier Analysis and Applications 6 RAIRO. Theoretical Informatics and Applications 5 Bulletin de la Société Mathématique de France 5 Mathematische Nachrichten 5 Real Analysis Exchange 5 Topology and its Applications 5 Linear Algebra and its Applications 5 Experimental Mathematics 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 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Duke Mathematical Journal 4 Geometriae Dedicata 4 Journal of Applied Probability 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 Archiv der Mathematik 3 Indiana University Mathematics Journal 3 Journal of Soviet Mathematics 3 Mathematika 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Quaestiones Mathematicae 3 Results in Mathematics 3 Tsukuba Journal of Mathematics 3 Journal of Theoretical Probability 3 International Journal of Algebra and Computation 3 The Journal of Geometric Analysis 3 Aequationes Mathematicae 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 2 Computers & Mathematics with Applications 2 Letters in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 The Mathematical Intelligencer 2 Acta Arithmetica 2 The Annals of Probability 2 The Annals of Statistics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Bulletin of the London Mathematical Society 2 Demonstratio Mathematica 2 Integral Equations and Operator Theory 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Journal of the Mathematical Society of Japan 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Proceedings of the London Mathematical Society. Third Series 2 Revista Matemática Iberoamericana ...and 121 more Serials all top 5 Cited in 52 Fields 471 Dynamical systems and ergodic theory (37-XX) 457 Measure and integration (28-XX) 261 Number theory (11-XX) 134 Convex and discrete geometry (52-XX) 116 Probability theory and stochastic processes (60-XX) 70 Harmonic analysis on Euclidean spaces (42-XX) 66 Computer science (68-XX) 57 Operator theory (47-XX) 37 Functional analysis (46-XX) 32 Combinatorics (05-XX) 32 Statistical mechanics, structure of matter (82-XX) 30 Functions of a complex variable (30-XX) 29 Real functions (26-XX) 20 Group theory and generalizations (20-XX) 20 Topological groups, Lie groups (22-XX) 20 General topology (54-XX) 18 Quantum theory (81-XX) 15 Partial differential equations (35-XX) 13 Difference and functional equations (39-XX) 13 Abstract harmonic analysis (43-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Ordinary differential equations (34-XX) 11 Information and communication theory, circuits (94-XX) 10 Mathematical logic and foundations (03-XX) 9 Numerical analysis (65-XX) 8 Field theory and polynomials (12-XX) 8 Algebraic topology (55-XX) 7 Statistics (62-XX) 6 Manifolds and cell complexes (57-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Biology and other natural sciences (92-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Integral equations (45-XX) 4 Geometry (51-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 3 \(K\)-theory (19-XX) 3 Differential geometry (53-XX) 2 Category theory; homological algebra (18-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year