2013 - Fellow of the American Mathematical Society
His Poisson distribution course of study focuses on Statistics and Variety (cybernetics). His study connects Statistics and Variety (cybernetics). His Integrable system course of study focuses on Mathematical physics and Schrödinger's cat, Covariant transformation and Noncommutative geometry. His work on Schrödinger's cat is being expanded to include thematically relevant topics such as Mathematical physics. In his research on the topic of Criminology, Social science is strongly related with Labelling. His Social science study frequently links to other fields, such as Labelling. His study on Artificial intelligence is interrelated to topics such as Complex system and Chaotic. His Chaotic study frequently involves adjacent topics like Artificial intelligence. His Quantum mechanics study frequently draws connections between related disciplines such as Discrete spectrum.
Quantum mechanics and Thermodynamics are two areas of study in which Jean Bellissard engages in interdisciplinary research. He integrates many fields, such as Thermodynamics and Quantum mechanics, in his works. His study brings together the fields of Schrödinger's cat and Mathematical physics. He combines Mathematical analysis and Geometry in his studies. He undertakes multidisciplinary investigations into Geometry and Mathematical analysis in his work. His research ties Algebra over a field and Pure mathematics together. His research on Algebra over a field often connects related topics like Pure mathematics. He carries out multidisciplinary research, doing studies in Statistical physics and Mathematical physics. His study brings together the fields of Aperiodic graph and Combinatorics.
His work in Current (fluid) addresses issues such as Thermodynamics, which are connected to fields such as Viscosity. His Aperiodic graph study which covers Combinatorics that intersects with Topology (electrical circuits), Corollary and Hausdorff space. Many of his studies involve connections with topics such as Combinatorics and Topology (electrical circuits). The Hilbert space portion of his research involves studies in Self-adjoint operator and Spectral theory. Jean Bellissard combines Self-adjoint operator and Hilbert space in his studies. Pure mathematics is closely attributed to Homotopy in his work. Many of his studies on Field (mathematics) involve topics that are commonly interrelated, such as Pure mathematics. His research on Mathematical analysis frequently connects to adjacent areas such as Spectral gap. He integrates Spectral gap with Spectrum (functional analysis) in his study.
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The noncommutative geometry of the quantum Hall effect
J. Bellissard;A. van Elst;H. Schulz‐ Baldes.
Journal of Mathematical Physics (1994)
The Non-Commutative Geometry of the Quantum Hall Effect
J. Bellissard;A. van Elst;H. Schulz-Baldes.
arXiv: Condensed Matter (1994)
Spectral properties of one-dimensional quasi-crystals
J. Bellissard;J. Bellissard;B. Iochum;B. Iochum;E. Scoppola;D. Testard.
Communications in Mathematical Physics (1989)
K-theory of C*—Algebras in solid state physics
Cantor spectrum for the almost Mathieu equation
J Bellissard;B Simon.
Journal of Functional Analysis (1982)
Gap Labelling Theorems for Schrödinger Operators
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.
Communications in Mathematical Physics (2006)
Spectral Properties of a Tight Binding Hamiltonian with Period Doubling Potential
Jean Bellissard;Jean Bellissard;Anton Bovier;Jean-Michel Ghez;Jean-Michel Ghez.
Communications in Mathematical Physics (1991)
Quantum chaos in spin-fermion models.
Gilles Montambaux;Didier Poilblanc;Jean Bellissard;Clément Sire.
Physical Review Letters (1993)
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