World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
6118
World Ranking
1820
National Ranking
775

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Abel Klein is affiliated with the University of California, Irvine in the United States. Their research focuses primarily on Physics and Astronomy, with significant contributions in Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, Mathematical Physics, Artificial Intelligence, and Statistics and Probability.

The scientist's work covers several topics including Quantum many-body systems, Quantum chaos and dynamical systems, Opinion Dynamics and Social Influence, Quantum Computing Algorithms and Architecture, Model Reduction and Neural Networks, Spectral Theory in Mathematical Physics, and advanced mathematical theories.

Abel Klein has published extensively in various peer-reviewed venues. Recent papers include:

  • Slow Propagation of Information on the Random XXZ Quantum Spin Chain, 2024, Communications in Mathematical Physics
  • Localization in the random XXZ quantum spin chain, 2024, Forum of Mathematics Sigma
  • Stanislav Alekseevich Molchanov, 2021, Russian Mathematical Surveys
  • Localization in the random XXZ quantum spin chain, 2022, arXiv (Cornell University)
  • Slow propagation of information on the random XXZ quantum spin chain, 2023, arXiv (Cornell University)

Frequently published venues reflect the diversity of the research topics and include:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Forum of Mathematics Sigma
  • Russian Mathematical Surveys

Notable frequent co-authors include:

  • Alexander Elgart
  • A. Aizenman
  • B. Vaĭnberg
  • Ilya Goldsheid
  • Svetlana Jitomirskaya

Abel Klein is recognized as a Fellow of the American Mathematical Society since 2013. This distinction highlights an established role within the mathematical and physical sciences community.

Best Publications

  • A New Proof of Localization in the Anderson Tight Binding Model

    Henrique von Dreifus;Abel Klein

  • Anderson localization for Bernoulli and other singular potentials

    Rene A. Carmona;Abel Klein;Fabio Martinelli

  • Bootstrap Multiscale Analysis and Localization¶in Random Media

    François Germinet;Abel Klein

  • Extended States in the Anderson Model on the Bethe Lattice

    Abel Klein

  • Localization of classical waves. I. Acoustic waves

    Alexander Figotin;Abel Klein

  • Stochastic processes associated with KMS states

    Abel Klein;Lawrence J Landau

  • A characterization of the Anderson metal-insulator transport transition

    François Germinet;Abel Klein

  • Absolutely Continuous Spectrum in the Anderson Model on the Bethe Lattice

    Abel Klein

  • Localization for the Anderson model on a strip with singular potentials

    Abel Klein;Jean Lacroix;Athanasios Speis

  • Localized Classical Waves Created by Defects

    Alexander Figotin;Abel Klein

  • A comprehensive proof of localization for continuous Anderson models with singular random potentials

    François Germinet;Abel Klein

  • Simplicity of Eigenvalues in the Anderson Model

    Abel Klein;Stanislav Molchanov

  • Localization of Classical Waves II: Electromagnetic Waves

    Alexander Figotin;Abel Klein

  • Generalized Eigenvalue-Counting Estimates for the Anderson Model

    Jean-Michel Combes;François Germinet;Abel Klein;Abel Klein

  • Bounds on the density of states for Schrödinger operators

    Jean Bourgain;Abel Klein

  • Construction of a unique self-adjoint generator for a symmetric local semigroup

    Abel Klein;Lawrence J Landau

  • New characterizations of the region of complete localization for random Schr"odinger operators

    Francois Germinet;Abel Klein

  • Unique Continuation Principle for Spectral Projections of Schrödinger Operators and Optimal Wegner Estimates for Non-ergodic Random Schrödinger Operators

    Abel Klein

  • Linear response theory for magnetic Schrödinger operators in disordered media

    Jean Marc Bouclet;Francois Germinet;Abel Klein;Jeffrey H. Schenker

  • Bounds on the density of states for Schr" odinger operators

    Jean Bourgain;Abel Klein

  • Dynamical delocalization in random Landau Hamiltonians

    François Germinet;Abel Klein;Jeffrey H. Schenker

Frequent Co-Authors

Anton Bovier
Anton Bovier University of Bonn
Michael Aizenman
Michael Aizenman Princeton University
René Carmona
René Carmona Princeton University
Jean Bourgain
Jean Bourgain Institute for Advanced Study
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Vincent Rivasseau
Vincent Rivasseau University of Paris-Saclay
Svetlana Jitomirskaya
Svetlana Jitomirskaya University of California, Irvine

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