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Boris Solomyak

Boris Solomyak

D-Index & Metrics

Mathematics

D-Index
36
Citations
5148
World Ranking
2654
National Ranking
46

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Boris Solomyak is affiliated with Bar-Ilan University in Israel and has an extensive publication record focusing on mathematics and computer science. Their primary fields of study include Mathematics with 35 publications and Computer Science with 16 publications. The subfields they have contributed to include Mathematical Physics, Computational Theory and Mathematics, Statistical and Nonlinear Physics, Computer Networks and Communications, and Materials Chemistry.

The main topics covered in Solomyak's research encompass Mathematical Dynamics and Fractals, Quantum Chaos and Dynamical Systems, Cellular Automata and Applications, semigroups and automata theory, advanced mathematical theories, Nonlinear Dynamics and Pattern Formation, and Quasicrystal Structures and Properties.

The scientist's recent papers demonstrate active engagement in specialized areas of mathematical dynamics and related structures. Notable publications include:

  • "Hölder regularity for the spectrum of translation flows" (2021) published in Journal de l'École polytechnique - Mathématiques
  • "A spectral cocycle for substitution systems and translation flows" (2020) published in Journal d Analyse Mathématique
  • "Fourier decay for homogeneous self-affine measures" (2022) published in Journal of Fractal Geometry Mathematics of Fractals and Related Topics
  • "Typical absolute continuity for classes of dynamically defined measures" (2022) published in Advances in Mathematics
  • "Spectral cocycle for substitution tilings" (2023) published in Ergodic Theory and Dynamical Systems

Solomyak has also contributed to book publications, including one titled Self-similar and Self-affine Sets and Measures (2023), published by Mathematical surveys and monographs.

Frequent collaborators include Károly Simon, Balázs Bárány, and Alexander I. Bufetov, with collaboration counts ranging from 4 to 12 joint publications, indicating consistent cooperative research efforts.

In terms of publication venues, Solomyak has contributed multiple papers to outlets such as arXiv (Cornell University), Journal de l'École polytechnique - Mathématiques, Journal of Fractal Geometry Mathematics of Fractals and Related Topics, Ergodic Theory and Dynamical Systems, and Journal d Analyse Mathématique.

Recognition in the professional community includes the distinction of Fellow of the American Mathematical Society awarded in 2013.

Best Publications

  • Dynamics of self-similar tilings

    Boris Solomyak

  • Sixty Years of Bernoulli Convolutions

    Yuval Peres;Yuval Peres;Wilhelm Schlag;Boris Solomyak

  • Finite beta-expansions

    Christiane Frougny;Boris Solomyak

  • On the Random Series ∑± λ n (an Erdos Problem)

    Unknown

  • Absolute Continuity of Bernoulli Convolutions, A Simple Proof

    Yuval Peres;Boris Solomyak

  • MEASURE AND DIMENSION FOR SOME FRACTAL FAMILIES

    Boris Solomyak

  • Nonperiodicity implies unique composition for self-similar translationally finite Tilings

    B. Solomyak

  • Self-similar measures and intersections of Cantor sets

    Yuval Peres;Yuval Peres;Boris Solomyak

  • Pure Point Dynamical and Diffraction Spectra

    J.-Y. Lee;R. V. Moody;B. Solomyak

  • Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets

    Yuval Peres;Michał Rams;Károly Simon;Boris Solomyak

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

    Boris Solomyak

  • Conjugates of Beta-Numbers and the Zero-Free Domain for a Class of Analytic Functions

    Boris Solomyak

  • Existence of L^q dimensions and entropy dimension for self-conformal measures

    Yuval Peres;Boris Solomyak

  • Consequences of Pure Point Diffraction Spectra for Multiset Substitution Systems

    Jeong-Yup Lee;Robert V. Moody;Boris Solomyak

  • Invariant measures on stationary Bratteli diagrams

    Sergey Bezuglyi;Jan Kwiatkowski;K. Medynets;Boris Solomyak

  • Finite rank Bratteli diagrams: Structure of invariant measures

    Sergey Bezuglyi;Jan Kwiatkowski;Konstantin Medynets;Boris Solomyak

  • Problems on Self-similar Sets and Self-affine Sets: An Update

    Yuval Peres;Yuval Peres;Boris Solomyak

  • Two-symbol Pisot substitutions have pure discrete spectrum

    Michael Hollander;Boris Solomyak

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

    Mike Keane;Meir Smorodinsky;Boris Solomyak

  • Invariant measures for parabolic IFS with overlaps and random continued fractions

    K. Simon;B. Solomyak;M. Urbański

  • Ergodic Theory of ℤ d Actions: On representation of integers in Linear Numeration Systems

    Christiane Frougny;Boris Solomyak

  • Spectrum of dynamical systems arising from Delone sets

    Boris Solomyak

Frequent Co-Authors

Richard Kenyon
Richard Kenyon Yale University
Alexander Volberg
Alexander Volberg Michigan State University
Itai Benjamini
Itai Benjamini Weizmann Institute of Science
Mariusz Urbański
Mariusz Urbański University of North Texas
Robert V. Moody
Robert V. Moody University of Victoria
David Damanik
David Damanik Rice University
Lorenzo Sadun
Lorenzo Sadun The University of Texas at Austin
Mark Pollicott
Mark Pollicott University of Warwick
Wilhelm Schlag
Wilhelm Schlag Yale University
Anatoly Vershik
Anatoly Vershik Saint Petersburg State University

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