| The Hausdorff dimension of 𝜆-expansions with deleted digits M Pollicott, K Simon Transactions of the American Mathematical Society 347 (3), 967-983, 1995 | 164 | 1995 |
| Hausdorff dimension for randomly perturbed self affine attractors T Jordan, M Pollicott, K Simon Communications in mathematical physics 270 (2), 519-544, 2007 | 107 | 2007 |
| Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets Y Peres, M Rams, K Simon, B Solomyak Proceedings of the American Mathematical Society 129 (9), 2689-2699, 2001 | 102 | 2001 |
| The equivalence of some Bernoulli convolutions to Lebesgue measure R Mauldin, K Simon Proceedings of the American Mathematical Society 126 (9), 2733-2736, 1998 | 61 | 1998 |
| Invariant measures for parabolic IFS with overlaps and random continued fractions K Simon, B Solomyak, M Urbański Transactions of the American Mathematical Society 353 (12), 5145-5164, 2001 | 60 | 2001 |
| On the dimension of self-similar sets K Simon, B Solomyak Fractals 10 (01), 59-65, 2002 | 55 | 2002 |
| Hausdorff dimension for horseshoes in K Simon, B Solomyak Ergodic Theory and Dynamical Systems 19 (5), 1343-1363, 1999 | 54 | 1999 |
| Hausdorff dimension of limit sets for parabolic IFS with overlaps K Simon, B Solomyak, M Urbański Pacific journal of mathematics 201 (2), 441-478, 2001 | 53 | 2001 |
| Self-similar sets of zero Hausdorff measure and positive packing measure Y Peres, K Simon, B Solomyak Israel Journal of Mathematics 117, 353-379, 2000 | 46 | 2000 |
| Hausdorff dimension for non-invertible maps K Simon Ergodic Theory and Dynamical Systems 13 (1), 199-212, 1993 | 42 | 1993 |
| Stationary measures for projective transformations: the Blackwell and Furstenberg measures B Bárány, M Pollicott, K Simon Journal of Statistical Physics 148, 393-421, 2012 | 41 | 2012 |
| The Hausdorff dimension of the Smale-Williams solenoid with different contraction coefficients K Simon Proceedings of the American Mathematical Society 125 (4), 1221-1228, 1997 | 41 | 1997 |
| Projections of fractal percolations M Rams, K Simon Ergodic Theory and Dynamical Systems 35 (2), 530-545, 2015 | 38 | 2015 |
| Dimension of slices through the Sierpinski carpet A Manning, K Simon Transactions of the American Mathematical Society 365 (1), 213-250, 2013 | 36 | 2013 |
| Generating hierarchial scale-free graphs from fractals J Komjáthy, K Simon Chaos, Solitons & Fractals 44 (8), 651-666, 2011 | 35 | 2011 |
| Interior of sums of planar sets and curves K Simon, K Taylor Mathematical Proceedings of the Cambridge Philosophical Society 168 (1), 119-148, 2020 | 31 | 2020 |
| Absolute continuity for random iterated function systems with overlaps Y Peres, K Simon, B Solomyak Journal of the London Mathematical Society 74 (3), 739-756, 2006 | 31 | 2006 |
| The dimension of projections of fractal percolations M Rams, K Simon Journal of Statistical Physics 154 (3), 633-655, 2014 | 30 | 2014 |
| On the size of the algebraic difference of two random Cantor sets M Dekking, K Simon Random Structures & Algorithms 32 (2), 205-222, 2008 | 27 | 2008 |
| Slicing the Sierpiński gasket B Bárány, A Ferguson, K Simon Nonlinearity 25 (6), 1753, 2012 | 23 | 2012 |
| Some dual statements concerning Wiener measure and Baire category K Simon Proceedings of the American Mathematical Society 106 (2), 455-463, 1989 | 23 | 1989 |
| Visibility for self-similar sets of dimension one in the plane. K Simon, B Solomyak | 21 | 2006 |
| Overlapping cylinders: the size of a dynamically defined Cantor-set K Simon Ergodic Theory and Zd Actions 228, 259, 1996 | 21 | 1996 |
| Projections of Mandelbrot percolation in higher dimensions K Simon, L Vágó Fractals, Wavelets, and their Applications: Contributions from the …, 2014 | 17* | 2014 |
| Subadditive pressure for triangular maps A Manning, K Simon Nonlinearity 20 (1), 133, 2006 | 17 | 2006 |
| Fractals with positive length and zero Buffon needle probability Y Peres, K Simon, B Solomyak The American mathematical monthly 110 (4), 314-325, 2003 | 17 | 2003 |
| The geometry of fractal percolation M Rams, K Simon Geometry and Analysis of Fractals: Hong Kong, December 2012, 303-323, 2014 | 16 | 2014 |
| The Lebesgue measure of the algebraic difference of two random Cantor sets P Móra, K Simon, B Solomyak Indagationes Mathematicae 20 (1), 131-149, 2009 | 16 | 2009 |
| The algebraic difference of two random Cantor sets: the Larsson family M Dekking, K Simon, B Székely | 15 | 2011 |
| Correlation dimension for self-similar Cantor sets with overlaps K Simon, B Solomyak Fundamenta Mathematicae 155 (3), 293-300, 1998 | 15 | 1998 |
| Triangular Gatzouras–Lalley-type planar carpets with overlaps I Kolossváry, K Simon Nonlinearity 32 (9), 3294, 2019 | 14 | 2019 |
| On the dimension of triangular self-affine sets B Bárány, M Rams, K Simon Ergodic Theory and Dynamical Systems 39 (7), 1751-1783, 2019 | 14 | 2019 |
| On the dimension of self-affine sets and measures with overlaps B Bárány, K Simon Proceedings of the American Mathematical Society 144 (10), 4427-4440, 2016 | 14 | 2016 |
| Multifractal analysis of Birkhoff averages for some self-affine IFS T Jordan, K Simon Dynamical Systems 22 (4), 469-483, 2007 | 14 | 2007 |
| Contracting on average random IFS with repelling fixed point AH Fan, K Simon, HR Tóth Journal of statistical physics 122, 169-193, 2006 | 14 | 2006 |
| Singularity versus exact overlaps for self-similar measures K Simon, L Vágó arXiv preprint arXiv:1702.06785, 2017 | 12 | 2017 |
| The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition M Keane, K Simon, B Solomyak Fund. Math 180 (3), 279-292, 2003 | 12 | 2003 |
| Typical continuous functions are not iterates K Simon Acta Mathematica Hungarica 55 (1-2), 133-134, 1990 | 12 | 1990 |
| Hausdorff and packing measure for solenoids M Rams, K Simon Ergodic Theory and Dynamical Systems 23 (1), 273-291, 2003 | 11 | 2003 |
| Dimension estimates for iterated function systems and repellers. Part II DJ Feng, K Simon Ergodic Theory and Dynamical Systems 42 (11), 3357-3392, 2022 | 10 | 2022 |
| Dimension and measure of sums of planar sets and curves K Simon, K Taylor arXiv preprint arXiv:1707.01407, 2017 | 9 | 2017 |
| The absolute continuity of the distribution of random sums with digits {0, 1, … , m-1} K Simon, HR Tóth | 9 | 2004 |
| The set of second iterates is nowhere dense in 𝐶 K Simon Proceedings of the American Mathematical Society 111 (4), 1141-1150, 1991 | 9 | 1991 |
| Self-similar and self-affine sets and measures B Bárány, K Simon, B Solomyak American Mathematical Society, 2023 | 8 | 2023 |
| A short existence proof for correlation dimension A Manning, K Simon Journal of statistical physics 90, 1047-1049, 1998 | 8 | 1998 |
| Hausdorff dimension for some hyperbolic attractors with overlaps and without finite Markov partition F Hofbauer, P Raith, K Simon Ergodic Theory and Dynamical Systems 27 (4), 1143-1165, 2007 | 7 | 2007 |
| On the periodic points of a typical continuous function K Simon Proceedings of the American Mathematical Society 105 (1), 244-249, 1989 | 7 | 1989 |
| Dimension Estimates for C 1 Iterated Function Systems and C 1 Repellers, a Survey DJ Feng, K Simon Thermodynamic Formalism: CIRM Jean-Morlet Chair, Fall 2019, 421-467, 2021 | 6 | 2021 |
| Transfinite fractal dimension of trees and hierarchical scale-free graphs J Komjáthy, R Molontay, K Simon Journal of Complex Networks 7 (5), 764-791, 2019 | 6 | 2019 |
| Typical absolute continuity for classes of dynamically defined measures B Bárány, K Simon, B Solomyak, A Śpiewak Advances in Mathematics 399, 108258, 2022 | 5 | 2022 |
| Dimension theory of some non-markovian repellers part ii: Dynamically defined function graphs B Bárány, M Rams, K Simon Topological Dynamics and Topological Data Analysis: IWCTA 2018, Kochi, India …, 2021 | 5 | 2021 |
| Fractal percolations K Simon, L Vágó arXiv preprint arXiv:1803.11426, 2018 | 5 | 2018 |
| Dimension of the repeller for a piecewise expanding affine map B Bárány, M Rams, K Simon arXiv preprint arXiv:1803.03788, 2018 | 5 | 2018 |
| Hausdorff Dimension of Hyperbolic Attractors in ℝ3 K Simon Fractal geometry and stochastics III, 79-92, 2004 | 5 | 2004 |
| Dimension and measure of sums of planar sets and curves K Simon, K Taylor Mathematika 68 (4), 1364-1392, 2022 | 4 | 2022 |
| Piecewise linear iterated function systems on the line of overlapping construction RD Prokaj, K Simon Nonlinearity 35 (1), 245, 2021 | 4 | 2021 |
| Dimension theory of some non-markovian repellers part i: A gentle introduction B Bárány, M Rams, K Simon Topological Dynamics and Topological Data Analysis: IWCTA 2018, Kochi, India …, 2021 | 4 | 2021 |
| Parabolic iterated function systems with overlaps I K Simon, B Solomyak, M Urban | 4 | 1998 |
| The iterates are not dense in C K Simon Math. Pannon. 2, 71-76, 1991 | 4 | 1991 |
| Projections of the random Menger sponge K Simon, V Orgoványi arXiv preprint arXiv:2205.03125, 2022 | 3 | 2022 |
| Parabolic iterated function systems with overlaps II: invariant measures K Simon, B Solomyak, MU NSKI preprint, 1998 | 3 | 1998 |
| Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line B Bárány, K Simon, I Kolossváry, M Rams Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151 (6 …, 2021 | 2 | 2021 |
| Fractal dimensions of continuous piecewise linear iterated function systems R Prokaj, P Raith, K Simon Proceedings of the American Mathematical Society 151 (11), 4703-4719, 2023 | 1 | 2023 |
| Special families of piecewise linear iterated function systems RD Prokaj, K Simon arXiv preprint arXiv:2212.09378, 2022 | 1 | 2022 |
| Quantization dimension for self-similar measures of overlapping construction MK Roychowdhury, K Simon arXiv preprint arXiv:2208.11749, 2022 | 1 | 2022 |
| Large deviation multifractal analysis of a process modeling TCP CUBIC K Simon, S Molnár, J Komjathy, P Móra arXiv preprint arXiv:1705.11039, 2017 | 1 | 2017 |
| A generalization of Barabási priority model of human dynamics J Komjathy, K Simon, L Vago arXiv preprint arXiv:1210.6557, 2012 | 1 | 2012 |
| Multifractals and the dimension of exceptions K Simon | 1 | 2001 |
| Exceptional set and multifractal analysis K Simon Periodica Mathematica Hungarica 37, 121-125, 1998 | 1 | 1998 |
| Hausdorff dimensions for certain near-hyperbolic maps K Simon Lampreia et al 93, 253-261, 1992 | 1 | 1992 |
| Parabolic iterated function systems with overlaps I: dimension of the limit set K Simon, B Solomyak, M Urbanski preprint, 0 | 1 | |
| Multitype branching processes in random environments with not strictly positive expectation matrices V Orgoványi, K Simon arXiv preprint arXiv:2401.12767, 2024 | | 2024 |
| The interior of randomly perturbed self-similar sets on the line M Dekking, K Simon, B Szekely, N Szekeres arXiv preprint arXiv:2305.00246, 2023 | | 2023 |
| Quantization dimension for self-similar measures of overlapping construction M Kanti Roychowdhury, K Simon arXiv e-prints, arXiv: 2208.11749, 2022 | | 2022 |
| Orthogonal projections of the random Menger sponge V Orgoványi, K Simon | | 2022 |
| Keywords: Iterated function systems Transversality Absolute continuity Place-dependent measures Sobolev dimension B Barany, K Simon, B Solomyak, A Spiewak ADVANCES IN MATHEMATICS 399, 2022 | | 2022 |
| Dimension estimates for the attractors of some non-conformal C Iterated Function Systems. K Simon | | 2019 |
| Dimension theory of dynamically defined fractal sets III. K Simon | | 2019 |
| Modified box dimension of trees and hierarchical scale-free graphs J Komjáthy, R Molontay, K Simon arXiv preprint arXiv:1808.02674, 2018 | | 2018 |
| Tartásdíjigények érvényesítése határok nélkül KL Simon | | 2017 |
| On the dimension of diagonally affine self-‐affine sets and overlaps. K Simon | | 2016 |
| Dimension Theory of self-affine and almost self-affine sets and measures K Simon | | 2015 |
| Projections of Fractal percolation constructed with inhomogeneous probabilities K Simon, L Vágó arXiv preprint arXiv:1505.05477, 2015 | | 2015 |
| Hiperbolikus dinamikai rendszerek: attraktorok és korreláció lecsengés.= Hyperbolic dynamical systems: attractors and correlation decay. D Szász, P Bálint, K Simon, IP Tóth, RH Tóth, T Varjú OTKA Kutatási Jelentések| OTKA Research Reports, 2009 | | 2009 |
| Fraktálok és valószínűségszámítás= Fractals and probability K Simon, S Hernáth, T Szabados, B Székely, RH Tóth OTKA Kutatási Jelentések| OTKA Research Reports, 2008 | | 2008 |
| RANDOM IFS WITH REPELLING ON AVERAGE COMMON FIX POINT A FAN, K SIMON, HR TOTH | | 2004 |
| Hausdorff dimension for horseshoes in B SOLOMYAK, K SIMON Ergodic theory and dynamical systems 19 (5), 1343-1363, 1999 | | 1999 |
| Locally Increasing Points of Nowhere Differentiable Functions K Simon Real Analysis Exchange 14 (2), 359-363, 1988 | | 1988 |
| Projections of self-similar sets and measures and Degrees of random and evolving Apollonian networks L Vágó, K Simon | | |
| The Geometry of Fractal Percolation and Randomly Perturbed Self-Affine Sets K Simon | | |
| Room 222, Lady Shaw Building K Simon, Q Liu, JC Xiao, WT Fan | | |
| The projection of the random Menger sponge V Orgoványi, K SIMON | | |
| Randomly perturbed self-similar sets K Simon 2023 Spring Eastern Sectional Meeting, 0 | | |
| Quantization dimension for fractals of overlapping construction K Simon | | |
| Geometry of Deterministic and Random Fractals K Simon | | |
| Random fractals on the line K Simon, V Orgovanyi 2022 Spring Western Sectional Meeting, 0 | | |
| THE ANNALS TM LIGGETT, P BAXENDALE, Y MISHURA, E VALKEILA, M DEKKING, ... | | |
| Dimension estimates for iterated function systems K Simon, DJ Feng 2021 Fall Western Sectional Meeting, 0 | | |
| Fractals and Fourier anaysis K Simon | | |
| Stochastic processes K Simon | | |
Boris SolomyakProfessor of Mathematics, Bar-Ilan UniversityVerified email at macs.biu.ac.il
