Concepedia

Artur Avila

AA

47

Publications

2.5K

Citations

27

H-Index

2001

Active since

Affiliations

Instituto Nacional de Matemática Pura e Aplicada(Current)

Centre National de la Recherche Scientifique

Sorbonne Université

Institut de Mathématiques de Jussieu-Paris Rive Gauche

Laboratoire de Probabilités et Modèles Aléatoires

Artur Avila is an author at Instituto Nacional de Matemática Pura e Aplicada specializing in engineering, functional analysis, and spectral theory.

Top concepts

EngineeringFunctional AnalysisSpectral TheoryPhysicsIntegral GeometryGeometryNatural SciencesStabilityEntropyCartography

Publications per year

2001–2022

47

Publications

47

The Ten Martini Problem

Artur Avila, Svetlana Jitomirskaya · Annals of Mathematics · 2009 · 332 citations · Full text

Spectral Theory, Geometry Of Number, Mathieu Operator +5

Global theory of one-frequency Schrödinger operators

Artur Avila · Acta Mathematica · 2015 · 202 citations · Full text

Spectral Theory, Quantum Dynamic, Phase Transitions +11

Almost localization and almost reducibility

Artur Avila, Svetlana Jitomirskaya · Journal of the European Mathematical Society · 2009 · 176 citations · Full text

Spectral Theory, Quantum Science, Quantum Dynamic +13

Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture

Artur Avila, Marcelo Viana · Acta Mathematica · 2007 · 147 citations · Full text

Global Geometry, Moduli Space, Typical Translation Surface +6

Extremal Lyapunov exponents: an invariance principle and applications

Artur Avila, Marcelo Viana · Inventiones mathematicae · 2010 · 144 citations

Stochastic Dynamical System, Lyapunov Analysis, Extremal Lyapunov Exponents +1

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