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Mathematics

D-Index
36
Citations
6642
World Ranking
2609
National Ranking
1075

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Jean Bellissard is affiliated with the Georgia Institute of Technology in the United States. Their research spans multiple fields including Physics and Astronomy, Mathematics, and Materials Science, with particular contributions in Geometry and Topology, Materials Chemistry, Statistical and Nonlinear Physics, Mathematical Physics, and Electrical and Electronic Engineering.

The scientist's work centers on topics such as Quasicrystal Structures and Properties, Quantum Chaos and Dynamical Systems, Spectral Theory in Mathematical Physics, Theoretical and Computational Physics, Advanced Differential Equations and Dynamical Systems, graph theory and CDMA systems, and Mathematics and Applications.

Jean Bellissard has published several papers, including:

  • Spectral continuity for aperiodic quantum systems: Applications of a folklore theorem, 2020, Journal of Mathematical Physics
  • Spectral regularity and defects for the Kohmoto model, 2024, arXiv (Cornell University)
  • Spectral Regularity and Defects for the Kohmoto Model, 2025, Annales Henri Poincaré

Frequent coauthors of Bellissard include Siegfried Beckus, Y. Thomas, and Giuseppe De Nittis.

Publication venues where their work has appeared include the Journal of Mathematical Physics, arXiv (Cornell University), and Annales Henri Poincaré.

In recognition of their contributions, Jean Bellissard was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • The noncommutative geometry of the quantum Hall effect

    J. Bellissard;A. van Elst;H. Schulz‐ Baldes

  • The Non-Commutative Geometry of the Quantum Hall Effect

    J. Bellissard;A. van Elst;H. Schulz-Baldes

  • Spectral properties of one-dimensional quasi-crystals

    J. Bellissard;J. Bellissard;B. Iochum;B. Iochum;E. Scoppola;D. Testard

  • K-theory of C*—Algebras in solid state physics

    Jean Bellissard

  • Cantor spectrum for the almost Mathieu equation

    J Bellissard;B Simon

  • Gap Labelling Theorems for Schrödinger Operators

    Jean Bellissard

  • Poisson vs. GOE Statistics in Integrable and Non-Integrable Quantum Hamiltonians

    D. Poilblanc;T. Ziman;T. Ziman;J. Bellissard;F. Mila

  • Spaces of tilings, finite telescopic approximations and gap-labeling

    Jean Bellissard;Riccardo Benedetti;Jean Marc Gambaudo

  • Quantum chaos in spin-fermion models.

    Gilles Montambaux;Didier Poilblanc;Jean Bellissard;Clément Sire

  • Spectral Properties of a Tight Binding Hamiltonian with Period Doubling Potential

    Jean Bellissard;Jean Bellissard;Anton Bovier;Jean-Michel Ghez;Jean-Michel Ghez

  • GAP LABELLING THEOREMS FOR ONE DIMENSIONAL DISCRETE SCHRÖDINGER OPERATORS

    Jean Bellissard;Anton Bovier;Jean-Michel Ghez

  • A metal-insulator transition for the almost Mathieu model

    J. Bellissard;J. Bellissard;R. Lima;D. Testard

  • Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian

    Didier Poilblanc;Timothy Ziman;Jean Bellissard;Frederic Mila

  • Chaotic States of Almost Periodic Schrödinger Operators

    J. Bellissard;D. Bessis;P. Moussa

  • Stability and instability in quantum mechanics

    J. Bellissard

  • An algebraic semi-classical approach to Bloch electrons in a magnetic field

    R. Rammal;J. Bellissard

  • Anomalous Transport: A Mathematical Framework

    H. Schulz-Baldes;J. Bellissard

  • Quasiperiodic interaction with a metal-insulator transition

    J. Bellissard;A. Formoso;R. Lima;D. Testard

  • Compactness and the maximal Gibbs state for random Gibbs fields on a lattice

    Jean Bellissard;Raphael Høegh-Krohn

  • Localization in $v$-dimensional incommensurate structures

    J. Bellissard;R. Lima;Elisabetta Scoppola

Frequent Co-Authors

Anton Bovier
Anton Bovier University of Bonn
Charles Radin
Charles Radin The University of Texas at Austin
Takeshi Egami
Takeshi Egami University of Tennessee at Knoxville
Barry Simon
Barry Simon California Institute of Technology
Stavros Garoufalidis
Stavros Garoufalidis Max Planck Institute for Mathematics
Matilde Marcolli
Matilde Marcolli California Institute of Technology
Sandro Vaienti
Sandro Vaienti Université de Toulon
Alexander Volberg
Alexander Volberg Michigan State University
John N. Mather
John N. Mather Princeton University

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