Monotonic cocycles (original) (raw)

Rigidity results for quasiperiodic SL(2, R)-cocycles

Raphaël KRIKORIAN

Journal of Modern Dynamics, 2009

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Reducibility, differentiable rigidity and Lyapunov exponents for quasi-periodic cocycles on bfTtimesSL(2,bfR){ bf T}times SL(2,{ bf R})bfTtimesSL(2,bfR)

Raphaël KRIKORIAN

2004

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Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications

Jiangong You

2021

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Continuity of the Lyapunov Exponents for Quasiperiodic Cocycles

Pedro Duarte

Communications in Mathematical Physics, 2014

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Remarks concerning the Lyapunov exponents of linear cocycles

Luca Zampogni

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Density of positive Lyapunov exponents for quasiperiodic SL(2, R) -cocycles in arbitrary dimension

AJ Avila

Journal of Modern Dynamics, 2010

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Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles

Jiangong You

Mathematische Zeitschrift

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Positive Lyapunov Exponents for Higher Dimensional Quasiperiodic Cocycles

Pedro Duarte

Communications in Mathematical Physics, 2014

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Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles

Jiangong You

Duke Mathematical Journal, 2013

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Complex one-frequency cocycles

Christian Sadel

Journal of the European Mathematical Society, 2014

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A geometric path from zero Lyapunov exponents to rotation cocycles

Andrés Navas

2013

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Construction of non-constant and ergodic cocycles

Mahesh Nerurkar

Colloquium Mathematicum, 2000

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On {SL(2, \mathbb R)}$$ Valued Smooth Proximal Cocycles and Cocycles with Positive Lyapunov Exponents Over Irrational Rotation Flows

Mahesh Nerurkar

Journal of Dynamics and Differential Equations, 2011

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On the Lyapunov exponent of certain SL(2,ℝ)-valued cocycles II

Roberta Fabbri, Luca Zampogni

Differential Equations and Dynamical Systems, 2010

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Lyapunov non-typical behavior for linear cocycles through the lens of semigroup actions

Giovane Ferreira

2021

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Some Questions Around Quasi-Periodic Dynamics

Raphaël KRIKORIAN

Proceedings of the International Congress of Mathematicians (ICM 2018), 2019

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Continuous-time extensions of discrete-time cocycles

Maximilian Engel

arXiv (Cornell University), 2023

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The upper Lyapunov exponent of Sl(2,R) cocycles: Discontinuity and the problem of positivity

Oliver Knill

Lecture Notes in Mathematics, 1991

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Mini-Workshop: Dynamics of Cocycles and One-Dimensional Spectral Theory

David Damanik

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New conditions for (non)uniform behaviour of linear cocycles over flows

Muna Alhalawa

Journal of Mathematical Analysis and Applications, 2018

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Cocycles for one-parameter flows of

Rob Powers

Journal of Functional Analysis, 2006

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Quasi-Periodic Schr "odinger Cocycles with Positive Lyapunov Exponent are not Open in the Smooth Topology

Jiangong You

2015

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Nonexistence of Lyapunov exponents for matrix cocycles

Xueting Tian

Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2017

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Singular analytic linear cocycles with negative infinite Lyapunov exponents

Christian Sadel

2017

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H\"older continuity of Lyapunov exponent for a family of smooth Schr\"odinger cocycles

Jiangong You

arXiv: Dynamical Systems, 2018

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Robust Heterodimensional Cycles and C1C^1C1-GENERIC Dynamics

christian bonatti

Journal of the Institute of Mathematics of Jussieu, 2008

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Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles

Adriana Gil Sánchez

arXiv (Cornell University), 2021

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Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schr\"odinger cocycles

Jiangong You

2021

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Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles

Raphaël KRIKORIAN

Annals of Mathematics, 2006

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Lyapunov `Non-typical' Points of Matrix Cocycles and Topological Entropy

Xueting Tian

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A generic bounded linear cocycle has simple Lyapunov spectrum

nguyen Cong

Ergodic Theory and Dynamical Systems, 2005

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V – monotone cocycles and almost periodic solution of differential equations

Cristiana Mammana

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Stable local dynamics: expansion, quasi-conformality and ergodicity

Hesam Rajabzadeh

2021

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Almost periodic Szeg�� cocycles with uniformly positive Lyapunov exponents

David Damanik

2009

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Almost periodic Szegő cocycles with uniformly positive Lyapunov exponents

Helge Krüger

2009

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