Artur Avila - Concepedia

Author

Artur Avila

Instituto Nacional de Matemática Pura e Aplicada

Also Known As

A. Avila, ARTUR AVILA, Artur AVILA, Artur Avila, Avila, Artur, Fayad, Bassam, Martin Leguil

150

Publications

3.1K

Citations

H-Index

Concepts

All Affiliations

Instituto Nacional de Matemática Pura e Aplicada Centre National de la Recherche Scientifique Sorbonne Université Institut de Mathématiques de Jussieu-Paris Rive Gauche Laboratoire de Probabilités et Modèles Aléatoires

About

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

Top Concepts

#	Concept	H-Index	Publications	Citations
1	Engineering	18	18	1.3K
2	Physics	8	8	705
3	Natural Sciences	4	4	320
4	Probability Theory	1	1	22
5	Quantum Engineering	1	1	176

Artur Avila

Publications

2.5K

Citations

H-Index

Page 1

	Year	Citations
The Ten Martini Problem Artur Avila, Svetlana Jitomirskaya Annals of Mathematics Spectral TheoryGeometry Of NumberMathieu OperatorEngineeringAnalytic Number Theory	2009	332
Global theory of one-frequency Schrödinger operators Artur Avila Acta Mathematica Spectral TheoryQuantum DynamicPhase TransitionsEngineeringPhysics	2015	202
Almost localization and almost reducibility Artur Avila, Svetlana Jitomirskaya Journal of the European Mathematical Society Spectral TheoryQuantum ScienceQuantum DynamicEngineeringPhysics	2009	176
Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture Artur Avila, Marcelo Viana Acta Mathematica Global GeometryModuli SpaceTypical Translation SurfaceLyapunov SpectraGlobal Analysis	2007	147
Extremal Lyapunov exponents: an invariance principle and applications Artur Avila, Marcelo Viana Inventiones mathematicae Stochastic Dynamical SystemLyapunov AnalysisExtremal Lyapunov ExponentsStability	2010	144
A Kam Scheme for SL(2, $${{\mathbb R}}$$ ) Cocycles with Liouvillean Frequencies Artur Avila, Bassam Fayad, Raphaël Krikorian Geometric and Functional Analysis Spectral TheoryEngineeringPhysicsQuantum Field TheoryKam Theory	2011	131
Regular or stochastic dynamics in real analytic families of unimodal maps Artur Avila, Mikhail Lyubich, Welington de Melo Inventiones mathematicae Stochastic DynamicsTopological DynamicQuasiconformal MappingGlobal AnalysisUnimodal Maps	2003	118
Complex one-frequency cocycles Artur Avila, Svetlana Jitomirskaya, Christian Sadel Journal of the European Mathematical Society PhysicsNatural SciencesLyapunov ExponentsTopological DynamicKam Theory	2014	68
The absolutely continuous spectrum of the almost Mathieu operator Artur Avila ArXiv.org Spectral TheoryMathieu OperatorTwenty-first CenturyEngineeringRiemann-hilbert Problem	2008	60
On the regularization of conservative maps Artur Avila Acta Mathematica	2010	60

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