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Claire Chavaudret
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All published works
Action
Title
Year
Authors
+
Real almost reducibility of differentiable real quasi-periodic cocycles
2025
Maxime Chatal
Claire Chavaudret
L. H. Eliasson
+
PDF
Chat
Almost reducibility of quasiperiodic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>S</mml:mi><mml:mi>L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-cocycles in ultradifferentiable classes
2023
Maxime Chatal
Claire Chavaudret
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PDF
Chat
ALMOST REDUCIBILITY OF QUASIPERIODIC SL(2, R)-COCYCLES IN ULTRADIFFERENTIABLE CLASSES, AND AN APPLICATION TO THE REGULARITY OF THE LYAPUNOV EXPONENT
2022
Maxime Chatal
Claire Chavaudret
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PDF
Chat
Analytic linearization of a generalization of the semi-standard map: Radius of convergence and Brjuno sum
2022
Claire Chavaudret
Stefano Marmi
+
Almost reducibility of quasiperiodic sl(2, R)-cocycles in ultradifferentiable classes
2022
Maxime Chatal
Claire Chavaudret
+
Reducibility of ultra-differentiable quasiperiodic cocycles under an adapted arithmetic condition
2021
Abed Bounemoura
Claire Chavaudret
Shuqing Liang
+
Analytic linearization of a generalization of the semi-standard map: radius of convergence and Brjuno sum
2021
Claire Chavaudret
Stefano Marmi
+
Reducibility of ultra-differentiable quasi-periodic cocycles under an adapted arithmetic condition
2019
Abed Bounemoura
Claire Chavaudret
Shuqing Liang
+
PDF
Chat
Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles
2018
Ao Cai
Claire Chavaudret
Jiangong You
Qi Zhou
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Sharp Holder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles
2017
Ao Cai
Claire Chavaudret
Jiangong You
Qi Zhou
+
PDF
Chat
Normal form of holomorphic vector fields with an invariant torus under Brjuno’s A condition
2016
Claire Chavaudret
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Erratum: Reducibility of quasiperiodic cocycles under a Brjuno-Rüssmann arithmetical condition
2015
Claire Chavaudret
Stefano Marmi
+
Normal form of holomorphic vector fields with an invariant torus under Brjuno's A condition
2014
Claire Chavaudret
+
ANALYTIC REDUCIBILITY OF RESONANT COCYCLES TO A NORMAL FORM
2014
Claire Chavaudret
Laurent Stolovitch
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Normal form of holomorphic vector fields with an invariant torus under Brjuno's A condition
2014
Claire Chavaudret
+
PDF
Chat
Strong almost reducibility for analytic and Gevrey quasi-periodic cocycles
2013
Claire Chavaudret
+
PDF
Chat
Almost reducibility for finitely differentiable SL(2,\mathbb{R}) -valued quasi-periodic cocycles
2012
Claire Chavaudret
+
Reducibility of quasiperiodic cocycles under a Brjuno-Rüssmann arithmetical condition
2012
Claire Chavaudret
Stefano Marmi
+
PDF
Chat
Almost reducibility for finitely differentiable SL(2,R)-valued quasi-periodic cocycles
2012
Claire Chavaudret
+
Reducibility of cocycles under a Brjuno-Rüssmann arithmetical condition
2011
Claire Chavaudret
Stefano Marmi
+
Reducibility of quasiperiodic cocycles in linear Lie groups
2010
Claire Chavaudret
+
PDF
Chat
Presque réductibilité des cocycles quasi-périodiques de classe Gevrey 2
2010
Claire Chavaudret
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Presque réductibilité des cocycles quasi-périodiques de classe Gevrey 2
2010
Claire Chavaudret
+
Réductibilité des cocycles quasi-périodiques
2010
Claire Chavaudret
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Almost reducibility of analytic quasi-periodic cocycles
2009
Claire Chavaudret
+
Strong almost reducibility for analytic and Gevrey quasi-periodic cocycles
2009
Claire Chavaudret
Common Coauthors
Coauthor
Papers Together
Stefano Marmi
5
Maxime Chatal
4
Ao Cai
2
Jiangong You
2
Shuqing Liang
2
Qi Zhou
2
Abed Bounemoura
2
Laurent Stolovitch
1
L. H. Eliasson
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
1992
L. H. Eliasson
12
+
Full Measure Reducibility for Generic One-parameter Family of Quasi-periodic Linear Systems
2008
Hai-Long Her
Jiangong You
7
+
PDF
Chat
The rotation number for almost periodic potentials
1983
Randal Johnson
J. Moser
5
+
PDF
Chat
Strong almost reducibility for analytic and Gevrey quasi-periodic cocycles
2013
Claire Chavaudret
5
+
A Kam Scheme for SL(2, $${{\mathbb R}}$$ ) Cocycles with Liouvillean Frequencies
2011
Artur Avila
Bassam Fayad
Raphaël Krikorian
5
+
Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
2012
Xuanji Hou
Jiangong You
5
+
Reducibility of quasiperiodic cocycles in linear Lie groups
2010
Claire Chavaudret
5
+
PDF
Chat
Convergence radius in the Poincaré-Siegel problem
2010
Antonio Giorgilli
Stefano Marmi
4
+
Reducibility of quasiperiodic cocycles under a Brjuno-Rüssmann arithmetical condition
2012
Claire Chavaudret
Stefano Marmi
4
+
Reducibility Results for Quasiperiodic Cocycles With Liouvillean Frequency
2011
Qi Zhou
Jing Wang
4
+
PDF
Chat
KAM iteration with nearly infinitely small steps in dynamical systems of polynomial character
2010
Helmut Rüßmann
3
+
PDF
Chat
Réductibilité presque partout des flots fibrés quasi-périodiques à valeurs dans des groupes compacts
1999
Raphaël Krikorian
3
+
PDF
Chat
KAM à la R
2010
Jürgen Pöschel
3
+
The Brjuno Functions and Their Regularity Properties
1997
Stefano Marmi
Pierre Moussa
Jean-Christophe Yoccoz
3
+
PDF
Chat
The rotation number for almost periodic potentials
1982
Randal Johnson
J. Moser
3
+
Petits diviseurs en dimension 1
2018
Jean-Christophe Yoccoz
3
+
Generalized implicit function theorems with applications to some small divisor problems, I
1975
Eduard Zehnder
3
+
Lyapunov exponents for some quasi-periodic cocycles
1997
Lai-Sang Young
3
+
The absolutely continuous spectrum of the almost Mathieu operator
2008
Artur Avila
2
+
None
2002
Jean Bourgain
Svetlana Jitomirskaya
2
+
Nonlinear Functional Analysis
1985
Klaus Deimling
2
+
None
2000
Jean Bourgain
2
+
The upper Lyapunov exponent of Sl(2,R) cocycles: Discontinuity and the problem of positivity
1991
Oliver Knill
2
+
Rigidity results for quasiperiodic <em>SL(2, R)</em>-cocycles
2009
Bassam Fayad
Raphaël Krikorian
2
+
The one-dimensional Schr�dinger equation with a quasiperiodic potential
1976
E. I. Dinaburg
Ya. G. Sinaĭ
2
+
A normal form theorem for Brjuno skew systems through renormalization
2006
João Lopes Dias
2
+
An analytic form of differential equations
1969
A. D. Bryuno
2
+
Erratum: Reducibility of quasiperiodic cocycles under a Brjuno-Rüssmann arithmetical condition
2015
Claire Chavaudret
Stefano Marmi
2
+
PDF
Chat
Genericity of zero Lyapunov exponents
2002
Jairo Bochi
2
+
PDF
Chat
Complex one-frequency cocycles
2014
Artur Avila
Svetlana Jitomirskaya
Christian Sadel
2
+
PDF
Chat
Fine Properties of the Integrated Density of States and a Quantitative Separation Property of the Dirichlet Eigenvalues
2008
Michael Goldstein
Wilhelm Schlag
2
+
PDF
Chat
Singular complete integrability
2000
Laurent Stolovitch
2
+
Holder Continuity of the Integrated Density of States for Quasi-Periodic Schrodinger Equations and Averages of Shifts of Subharmonic Functions
2001
Michael Goldstein
Wilhelm Schlag
2
+
Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles
2009
Svetlana Jitomirskaya
Deborah Koslover
M. S. Schulteis
2
+
All couplings localization for quasiperiodic operators with Lipschitz monotone potentials
2015
Svetlana Jitomirskaya
Ilya Kachkovskiy
2
+
Positivity and continuity of the Lyapounov exponent for shifts on T d with arbitrary frequency vector and real analytic potentiald with arbitrary frequency vector and real analytic potential
2005
Jean Bourgain
2
+
Asymptotics of spectral gaps of quasi-periodic Schrödinger operators
2017
Martin Leguil
Jiangong You
Zhiyan Zhao
Qi Zhou
2
+
Linearization of Gevrey flows on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">T</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math> with a Brjuno type arithmetical condition
2019
João Lopes Dias
José Pedro Gaivão
2
+
PDF
Chat
Almost localization and almost reducibility
2009
Artur Avila
Svetlana Jitomirskaya
2
+
PDF
Chat
Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles
2013
Yiqian Wang
Jiangong You
2
+
PDF
Chat
Continuity of Lyapunov exponents for cocycles with invariant holonomies
2018
Lucas Backes
Aaron Brown
Clark Butler
2
+
Local Methods in Nonlinear Differential Equations
1989
A. D. Bruno
2
+
Reducibility of ultra-differentiable quasiperiodic cocycles under an adapted arithmetic condition
2021
Abed Bounemoura
Claire Chavaudret
Shuqing Liang
1
+
PDF
Chat
A proof of the Marmi–Moussa–Yoccoz conjecture for rotation numbers of high type
2015
Davoud Cheraghi
Arnaud Chéritat
1
+
PDF
Chat
Bryuno Function and the Standard Map
2001
Alberto Berretti
Guido Gentile
1
+
PDF
Chat
Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum
1997
L. H. Eliasson
1
+
Forme normale de champs de vecteurs commutant
1997
Laurent Stolovitch
1
+
Ultradifferentiable functions and Fourier analysis
1990
Rüdiger Braun
Reinhold Meise
B. A. Taylor
1
+
Hölder Continuity of the Rotation Number for Quasi-Periodic Co-Cycles in $${SL(2, \mathbb R)}$$
2008
Sana Hadj Amor
1
+
Almost periodic Schrödinger operators II. The integrated density of states
1983
J. E. Avron
Barry Simon
1