Svetlana Jitomirskaya | Academic Influence

Svetlana Jitomirskaya's AcademicInfluence.com Rankings

Svetlana Jitomirskaya

Mathematics

#1933

World Rank

#3065

Historical Rank

#778

USA Rank

Measure Theory

#3590

World Rank

#4233

Historical Rank

#1037

USA Rank

mathematics Degrees

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Mathematics

Svetlana Jitomirskaya's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Moscow State University

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Why Is Svetlana Jitomirskaya Influential?

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According to Wikipedia, Svetlana Yakovlevna Jitomirskaya is a Soviet-born American mathematician working on dynamical systems and mathematical physics. She is a distinguished professor of mathematics at Georgia Tech and UC Irvine. She is best known for solving the ten martini problem along with mathematician Artur Avila.

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Svetlana Jitomirskaya's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Metal-insulator transition for the almost Mathieu operator (1999) (324)
The Ten Martini Problem (2009) (296)
Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization (1996) (282)
Continuity of the Lyapunov Exponent for Quasiperiodic Operators with Analytic Potential (2001) (195)
Almost localization and almost reducibility (2008) (170)
Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators (1994) (128)
Duality and singular continuous spectrum in the almost Mathieu equation (1997) (118)
Absolutely continuous spectrum for 1D quasiperiodic operators (2002) (107)
Power Law Subordinacy and Singular Spectra.¶II. Line Operators (2000) (105)
Delocalization in Random Polymer Models (2003) (103)
Dynamics and spectral theory of quasi-periodic Schrödinger-type operators (2015) (87)
Analytic Quasi-Perodic Cocycles with Singularities and the Lyapunov Exponent of Extended Harper’s Model (2010) (77)
Ergodic Schrödinger Operators (on one foot) (2007) (68)
Universal hierarchical structure of quasiperiodic eigenfunctions (2016) (66)
Spectral theory of extended Harper’s model and a question by Erdős and Szekeres (2016) (64)
Complex one-frequency cocycles (2013) (60)
Power-law subordinacy and singular spectra I. Half-line operators (1999) (55)
Localization for a Family of One-dimensional Quasiperiodic Operators of Magnetic Origin (2005) (45)
Anderson localization for the almost Mathieu equation: A nonperturbative proof (1994) (44)
Singular continuous spectrum is generic (1994) (44)
Arithmetic Spectral Transitions for the Maryland Model (2016) (42)
Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles (2009) (40)
Analytic quasi-periodic Schrödinger operators and rational frequency approximants (2012) (36)
Anderson localization for the band model (2000) (35)
$L^2$-reducibility and localization for quasiperiodic operators (2015) (34)
Continuity of the Lyapunov exponent for analytic quasi-periodic cocycles with singularities (2011) (34)
Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase (2018) (32)
STRONG DYNAMICAL LOCALIZATION FOR THE ALMOST MATHIEU MODEL (2001) (32)
Large Deviations of the Lyapunov Exponent and Localization for the 1D Anderson Model (2018) (32)
Hölder Continuity of Absolutely Continuous Spectral Measures for One-Frequency Schrödinger Operators (2009) (30)
Continuity of the measure of the spectrum for discrete quasiperiodic operators (2001) (29)
Solving the Ten Martini Problem (2005) (26)
Anderson Localization for the Almost Mathieu Equation, III. Semi-Uniform Localization, Continuity of Gaps, and Measure of the Spectrum (1998) (24)
Continuity of the Measure of the Spectrum for Quasiperiodic Schrödinger Operators with Rough Potentials (2012) (23)
Upper Bounds On Wavepacket Spreading For Random Jacobi Matrices (2006) (22)
Dynamical Bounds for Quasiperiodic Schrödinger Operators with Rough Potentials (2014) (20)
Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators (2015) (19)
Full measure reducibility and localization for quasiperiodic Jacobi operators: A topological criterion (2016) (19)
Anderson localization for the almost Mathieu equation: II. Point spectrum for λ>2 (1995) (19)
Cantor spectrum of graphene in magnetic fields (2018) (17)
Discrete Bethe–Sommerfeld Conjecture (2017) (17)
Erratum to: Analytic Quasi-Perodic Cocycles with Singularities and the Lyapunov Exponent of Extended Harper’s Model (2010) (16)
Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments (1993) (15)
Singular Continuous Spectrum for Singular Potentials (2016) (15)
Continuous Spectrum and Uniform Localization for Ergodic Schrödinger Operators (1997) (15)
Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum (2019) (15)
Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian (2018) (14)
Second phase transition line (2016) (14)
Exponential Dynamical Localization for the Almost Mathieu Operator (2012) (13)
All couplings localization for quasiperiodic operators with Lipschitz monotone potentials (2015) (12)
Anderson localization for multi-frequency quasi-periodic operators on $$\pmb {\mathbb {Z}}^{d}$$ (2019) (12)
Pure point spectrum for the Maryland model: a constructive proof (2019) (11)
On point spectrum of critical almost Mathieu operators (2021) (9)
All couplings localization for quasiperiodic operators with monotone potentials (2018) (9)
Nonperturbative localization (2003) (8)
Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy (2016) (6)
Critical phenomena, arithmetic phase transitions, and universality: some recent results on the almost Mathieu operator (2019) (6)
Exact dynamical decay rate for the almost Mathieu operator (2018) (5)
Upper bounds on transport exponents for long-range operators (2021) (5)
Arithmetic spectral transitions: A competition between hyperbolicity and the arithmetics of small denominators (2020) (5)
On the ground state calculation of a many-body system using a self-consistent basis and quasi-Monte Carlo: an application to water hexamer. (2013) (5)
Anderson localization for multi-frequency quasi-periodic operators on Zd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} (2020) (4)
Analytic Quasi-Perodic Cocycles with Singularities and the Lyapunov Exponent of Extended Harper’s Model (2012) (4)
Honeycomb structures in magnetic fields (2020) (4)
Spectral Theory of Schrödinger Operators over Circle Diffeomorphisms (2021) (4)
Logarithmic quantum dynamical bounds for arithmetically defined ergodic Schr\"odinger operators with smooth potentials (2021) (3)
Zero-Dimensional Spectral Measures for Quasi-Periodic Operators with Analytic Potential (2000) (3)
Anti-resonances and sharp analysis of Maryland localization for all parameters (2022) (3)
Spectral theory of extended Harper’s model and a question by Erdős and Szekeres (2017) (2)
On the spectrum of critical almost Mathieu operators in the rational case (2020) (2)
Stability of the Non-Critical Spectral Properties I: Arithmetic Absolute Continuity of the Integrated Density of States (2022) (2)
Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case (2019) (1)
Erratum to: Analytic Quasi-Perodic Cocycles with Singularities and the Lyapunov Exponent of Extended Harper’s Model (2012) (1)
Singular Continuous Spectrum for Singular Potentials (2017) (1)
Remembering Jean Bourgain (1954–2018) (2021) (1)
A Lower Bound on the Lyapunov Exponent for the Generalized Harper’s Model (2016) (1)
Inhomogeneous Diophantine approximation in the coprime setting (2018) (1)
The Erwin Schrr Odinger International Institute for Mathematical Physics Dimensional Hausdorr Properties of Singular Continuous Spectra (1995) (1)
Exponential Dynamical Localization for the Almost Mathieu Operator (2013) (1)
The Hofstadter's butterfly: from playing with numbers to studying quantum materials (Dannie Heineman Prize for Mathematical Physics talk) (2020) (0)
A Lower Bound on the Lyapunov Exponent for the Generalized Harper’s Model (2016) (0)
for the almost Mathieu operator (2016) (0)
OPERATORS WITH SINGULAR CONTINUOUSSPECTRUM , IV . HAUSDORFF DIMENSIONS , RANKONE PERTURBATIONS , AND (1996) (0)
Stanislav Alekseevich Molchanov (2021) (0)
Discrete Bethe–Sommerfeld Conjecture (2018) (0)
Cantor spectrum of graphene in magnetic fields (2019) (0)
Continuity of the Measure of the Spectrum for Quasiperiodic Schrödinger Operators with Rough Potentials (2013) (0)
Continuity of the measure of the spe trum for dis retequasiperiodi operators (2001) (0)
Localization for Quasiperiodic Potentials (2006) (0)
Second phase transition line (2017) (0)
Growth of the Wang-Casati-Prosen counter in an integrable billiard (2020) (0)
Spectral properties of quasiperiodic Schroedinger operators: treating small denominators without KAM (2007) (0)
Introduction to the Special Issue: In memory of Jean Bourgain (2022) (0)
Smillie The complex Henon family 10 : 20-10 : 45 Coffee break (2010) (0)
Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian (2019) (0)
Analytic quasi-periodic Schrödinger operators and rational frequency approximants (2012) (0)
Obituary of Alexander Gordon. (2019) (0)

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