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Mathematics

D-Index
35
Citations
4676
World Ranking
2797
National Ranking
1144

Research.com Recognitions

  • 2020 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics
  • 2018 - Fellow of the American Academy of Arts and Sciences
  • 1996 - Fellow of Alfred P. Sloan Foundation

Overview

Svetlana Jitomirskaya is affiliated with the University of California, Irvine in the United States. Their work primarily spans the fields of mathematics and physics and astronomy, with a strong emphasis on mathematical physics and related subfields.

Their research covers various specialized areas including spectral theory in mathematical physics, quantum chaos and dynamical systems, advanced mathematical modeling in engineering, holomorphic and operator theory, numerical methods in inverse problems, mathematical analysis and transform methods, and analytic and geometric function theory.

Jitomirskaya's publication record includes contributions to multiple prominent venues. Frequent publication outlets for their work include:

  • arXiv (Cornell University)
  • Journal of Mathematical Physics
  • Journal of the European Mathematical Society
  • Advances in Mathematics
  • Communications in Mathematical Physics

Their recent papers include:

  • On point spectrum of critical almost Mathieu operators, 2021, Advances in Mathematics
  • Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase, 2023, Journal of the European Mathematical Society
  • Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators, 2021, Journal of the European Mathematical Society
  • Upper bounds on transport exponents for long-range operators, 2021, Journal of Mathematical Physics
  • Arithmetic spectral transitions: A competition between hyperbolicity and the arithmetics of small denominators, 2020, IAS/Park City mathematics series

Collaborations have involved several frequent co-authors with whom multiple joint works appear, including:

  • Wencai Liu
  • Lingrui Ge
  • Rui Han
  • Shiwen Zhang
  • Lyuben Konstantinov

Jitomirskaya's scholarly output reflects a focus on the intersection of mathematics and physics, particularly through mathematical physics where they have published a significant portion of their work. Subfields represented in their research include applied mathematics, statistical and nonlinear physics, computational theory and mathematics, and atomic and molecular physics and optics.

Recognition of their contributions includes the Dannie Heineman Prize for Mathematical Physics awarded by the American Physical Society and American Institute of Physics in 2020. They were named a Fellow of the American Academy of Arts and Sciences in 2018 and also a Fellow of the Alfred P. Sloan Foundation in 1996.

Best Publications

  • Metal-insulator transition for the almost Mathieu operator

    Svetlana Ya . Jitomirskaya

  • The Ten Martini Problem

    Artur Avila;Svetlanaya Jitomirskaya

  • Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization

    R. del Rio;S. Jitomirskaya;B. Simon

  • Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential

    J. Bourgain;S. Jitomirskaya

  • Almost localization and almost reducibility

    Artur Avila;Svetlanaya Jitomirskaya

  • Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators

    S. Jitomirskaya;S. Jitomirskaya;B. Simon;B. Simon

  • Power-law subordinacy and singular spectra I. Half-line operators

    Svetlana Ya. Jitomirskaya

  • What is localization

    R. del Rio;S. Jitomirskaya;B. Simon

  • Duality and singular continuous spectrum in the almost Mathieu equation

    A. Y. Gordon;S. Jitomirskaya;B. Simon

  • Delocalization in Random Polymer Models

    S. Jitomirskaya;H. Schulz-Baldes;G. Stolz

  • Absolutely continuous spectrum for 1D quasiperiodic operators

    J. Bourgain;S. Jitomirskaya

  • Power Law Subordinacy and Singular Spectra.II. Line Operators

    Svetlana Ya. Jitomirskaya

  • Analytic Quasi-Perodic Cocycles with Singularities and the Lyapunov Exponent of Extended Harper’s Model

    S. Jitomirskaya;C. A. Marx

  • Universal hierarchical structure of quasiperiodic eigenfunctions

    Svetlana Jitomirskaya;Wencai Liu

  • Localization for a Family of One-dimensional Quasiperiodic Operators of Magnetic Origin

    S. Jitomirskaya;D. A. Koslover;M. S. Schulteis;M. S. Schulteis

  • Complex one-frequency cocycles

    Artur Avila;Svetlana Jitomirskaya;Christian Sadel

  • Spectral theory of extended Harper’s model and a question by Erdős and Szekeres

    A. Avila;S. Jitomirskaya;C. A. Marx

  • Ergodic Schrödinger Operators (on one foot)

    Svetlana Jitomirskaya

  • Dimensional Hausdorff properties of singular continuous spectra.

    Svetlana Ya. Jitomirskaya

  • Dynamics and spectral theory of quasi-periodic Schr"odinger-type operators

    S. Jitomirskaya;C. A. Marx

  • Dynamics and spectral theory of quasi-periodic Schrödinger-type operators

    C. A. Marx;S. Jitomirskaya

  • Spectral theory of extended Harper's model and a question by Erd\H{o}s and Szekeres

    A. Avila;S. Jitomirskaya;C. A. Marx

Frequent Co-Authors

Artur Avila
Artur Avila University of Zurich
Barry Simon
Barry Simon California Institute of Technology
Jean Bourgain
Jean Bourgain Institute for Advanced Study
Maciej Zworski
Maciej Zworski University of California, Berkeley
Abel Klein
Abel Klein University of California, Irvine
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte

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