Yotam Smilansky

I am a Hill Assistant Professor of Mathematics at Rutgers University, mentored by Professor Joel Lebowitz. Previously I was an Orzen Postdoctoral Fellow at the Hebrew University of Jerusalem, after completing my PhD studies at Tel-Aviv University under the supervision of Professor Barak Weiss. My main research interest is the study of tilings, aperiodic order and mathematical models of quasicrystals, the associated dynamical systems and their interactions with number theory.

Contact: yotam.smilansky@rutgers.edu

Full CV   Research statement

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Upcoming talks

Workshop: Mathematics of Tilings and Quasiperiodic Systems, November 7th, 2022, Research Institute for Mathematical Sciences, Kyoto, Japan.

Preprints and publications

  • Discrepancy and rectifiability of almost linearly repetitive Delone sets.
    Yotam Smilansky and Yaar Solomon.
    Nonlinearity, vol 35 (2022), 6204–6217.
  • Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings.
    Yotam Smilansky.
    Journal of Mathematical Analysis and Applications, vol 516(2) (2022), 126535.
  • Classification and statistics of cut-and-project sets.
    René Rühr, Yotam Smilansky and Barak Weiss.
    Submitted for publication.
  • A dichotomy for bounded displacement equivalence of Delone sets.
    Yotam Smilansky and Yaar Solomon.
    Ergodic Theory and Dynamical Systems, vol 42(8) (2022), 2693–2710.
  • Multiscale substitution tilings.
    Yotam Smilansky and Yaar Solomon.
    Proceedings of the London Mathematical Society, vol 123(6) (2021), 517–564.
  • Neural evidence suggests both interference and facilitation from embedding regularity into visual search.
    Anna Vaskevich, Alon Nishry, Yotam Smilansky and Roy Luria.
    Journal of Cognitive Neuroscience, vol 33(4) (2021), 622–634.
  • Bounded displacement non-equivalence in substitution tilings.
    Dirk Frettlöh, Yotam Smilansky and Yaar Solomon.
    Journal of Combinatorial Theory, Series A, vol 177 (2021), 105326.
  • Uniform distribution of Kakutani partitions generated by substitution schemes.
    Yotam Smilansky.
    Israel Journal of Mathematics, vol 240(2) (2020), 667–710.
  • The distribution of path lengths on directed weighted graphs.
    Avner Kiro, Yotam Smilansky and Uzy Smilansky.
    In: Analysis as a Tool in Mathematical Physics. Operator Theory: Advances and Applications, vol 276, Birkhäuser, Cham (2020), 351–372.
  • On the function field analogue of Landau's theorem on sums of two squares.
    Lior Bary-Soroker, Yotam Smilansky and Adva Wolf.
    Finite Fields and Their Applications, vol 39 (2016), 195–215.
  • Sums of two squares – pair correlation and distribution in short intervals.
    Yotam Smilansky.
    International Journal of Number Theory, vol 9(7) (2013), 1687–1711.
  • Other publications, articles and outreach

  • EMS Magazine
    Solved and unsolved problems: Problem 241.
    Rassias, M.T., Solved and unsolved problems. European Mathematical Society Magazine, vol 121 (2021), 58–67.
  • The On-Line Encyclopedia of Integer Sequences (OEIS)
    Sequence A328074: Coordination sequence for a certain multiscale substitution tiling of the plane by squares.
    OEIS Foundation Inc. (2020), The On-Line Encyclopedia of Integer Sequences, https://oeis.org/A328074.
  • The Tiling Encyclopedia
    Square multiscale substitution tiling and Triangle multiscale substitution tiling.
    D. Frettlöh, F. Gähler, E. Harriss, Tiling Encyclopedia, https://tilings.math.uni-bielefeld.de/substitution/ square-multiscale and https://tilings.math.uni-bielefeld.de/substitution/triangle-multiscale.
  • Oberwolfach Reports
    Classification and statistics of cut-and-project sets Workshop Report 2021, 2, 30–32.
    Schmidt (α,β) Games Workshop Report 2016, 48, 2762–2765.
  • triangles

    Invited talks, scientific meetings and seminars

    Analysis and PDE Seminar, 2022, UCLA, joint with Caltech and USC, CA (slides - order and disorder in multiscale substitution tilings).

    Ergodic Theory and Dynamical Systems Seminar, 2022, University of Bristol, UK.

    Ergodic Theory and Dynamical Systems Seminar, 2022, jointly ETH and University of Zurich, Switzerland.

    Mathematical Colloquium, 2022, Holon Institute of Technology, Israel.

    Mathematics Colloquium, 2021, University of Haifa, Israel.

    Geometric Functional Analysis and Probability Seminar, 2021, Weizmann Institute of Science, Israel.

    Analysis Seminar, 2021, Tel Aviv University, Israel (slides - order and disorder in multiscale substitution tilings).

    Combinatorics Seminar, 2021, Hebrew University of Jerusalem, Israel (slides - counting and combinatorics in aperiodic order).

    Mathematics Colloquium, 2021, Bar-Ilan University, Israel.

    Groups, Dynamics and Related Topics Seminar, 2021, Technion, Israel.

    Mathematics Colloquium, 2021, Ben-Gurion University of the Negev, Israel.

    Combinatorics Seminar, 2021, Bar-Ilan University, Israel.

    Number Theory Seminar, 2021, Rutgers University, NJ (slides - statistics and classification of cut-and-project sets).

    Workshop: Geometry, Dynamics and Spectrum of Operators on Discrete Spaces, 2021, MFO, Oberwolfach, Germany (video - statistics and classification of cut-and-project sets).

    Conference: Algebraic and Combinatorial Invariants of Subshifts and Tilings, 2021, CIRM, Marseille Luminy, France.

    Probability and Ergodic Theory Seminar, 2020, Ben-Gurion University of the Negev, Israel.

    Dynamical Systems e-Seminar, 2020, Hebrew University of Jerusalem, Israel (slides and video - multiscale substitution tilings).

    Functional Analysis and Dynamical Systems Seminar, 2020, Leipzig University, Germany.

    Group Actions Seminar, 2020, UC San Diego, CA.

    Dynamics Seminar, 2020, University of Maryland, MD.

    Experimental Mathematics Seminar, 2020, Rutgers University, NJ.

    New England Dynamics and Number Theory Seminar, 2020.

    One World Numeration Seminar, 2020.

    Dynamics and Number Theory Seminar, 2019, Brandeis University, MA.

    Mathematical Physics Seminar, 2019, Rutgers University, NJ.

    Mathematics Seminar, 2019, Hofstra University, NY.

    Experimental Mathematics Seminar, 2019, Rutgers University, NJ (slides and video - Kakutani partitions and zeros of exponential polynomials).

    Geometric Functional Analysis and Probability Seminar, 2019, Weizmann Institute of Science, Israel.

    Mathematics Colloquium, 2019, University of Haifa, Israel.

    Mathematics Colloquium, 2019, Bar-Ilan University, Israel.

    Analysis Seminar, 2019, Hebrew University of Jerusalem, Israel.

    Ergodic Theory & Probability Seminar, 2019, Hebrew University of Jerusalem, Israel.

    Ergodic Theory and Dynamical Systems Seminar, 2018, University of Bristol, UK (slides - Kakutani partitions).

    Ergodic Theory and Dynamical Systems Seminar, 2018, University of Warwick, UK.

    Dynamics Seminar, 2018, University of Maryland, MD.

    Ergodic Theory & Statistical Mechanics Seminar, 2018, Princeton University, NJ.

    Dynamical Systems Seminar, 2018, Stony Brook University, NY.

    Integrable Systems and Random Matrix Theory Seminar, 2018, University of Michigan, MI.

    Number Theory Seminar, 2018, Rutgers University, NJ.

    Mathematics Colloquium, 2018, The City University of New York, NY.

    Dynamical Systems Seminar, 2018, University of Houston, TX.

    Undergraduate Colloquium, 2018, University of Houston, TX (slides - aperiodic tilings).

    Geometry-Analysis Seminar, 2018, Rice University, TX.

    Groups & Dynamics Seminar, 2018, University of Texas at Austin, TX.

    Model Sets and Aperiodic Order Conference, 2018, Durham University, UK (slides - Kakutani partitions).

    The Israeli Mathematical Union annual meating, 2018, Technion, Israel.

    Analysis Seminar, 2018, Tel Aviv University, Israel.

    Horowitz Seminar on Probability, Ergodic Theory and Dynamical Systems, 2018, Tel Aviv University, Israel.

    Probability and Ergodic Theory Seminar, 2018, Ben-Gurion University of the Negev, Israel.

    The Batsheva de Rothschild Seminar on Quasicrystals, Delone sets and Generalizations of Lattices, 2018, Ohalo, Israel.

    Research School: Tiling Dynamical System (short presentation), 2017, CIRM, Marseille Luminy, France.

    Arbeitsgemeinschaft: Diophantine Approximation, Fractal Geometry and Dynamics, 2016, MFO, Oberwolfach, Germany.

    From Quantum Chaos to Graphs and Spectral Patterns (poster - paths on graphs), 2016, Weizmann Institute of Science, Rehovot, Israel.

    squaresstationary

    Teaching

    Fall 2022 (Rutgers): Math 135: Calculus I for Life and Social Sciences.

    Teaching experience: Teaching statement and teaching CV.

    Lecture notes: Linear Algebra, Faculty of Engineering, Tel Aviv University, Fall 2016 lecture notes (in Hebrew).

    Selected teaching reviews:

  • Math 477: Mathematical Theory of Probability, Rutgers University, Spring 2021 Section 01 and Section 02.
  • Linear Algebra, Faculty of Engineering, Tel Aviv University, Fall 2016 Instructor report (in Hebrew).
  • Linear Algebra II, School of Mathematical Sciences, Tel Aviv University, Spring 2017 TA report (in Hebrew).
  • Kakutani sequence