Thomas Ohlson Timoudas

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20152021

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math.DS2018

Sharp $\frac{1}{2}$ -Hölder continuity of the Lyapunov exponent at the bottom of the spectrum for a class of Schrödinger cocycles

Jordi-Lluís Figueras, Thomas Ohlson Timoudas

We consider a similar type of scenario for the disappearance of uniform of hyperbolicity as in Bjerklöv and Saprykina (2008, Nonlinearity 21), where it was proved that the minimum…

math.DS2018

Asymptotic laws for a class of quasi-periodic Schrödinger cocycles at the lowest energy of the spectrum

Thomas Ohlson Timoudas

Let $(ω, A_{E})$ be a quasi-periodic Schrödinger cocycle, where $ω$ is a Diophantine irrational. The potential is assumed to be $C^{2}$ with a unique non-degenerate minimum, and the co…

math.DS2015

Power law asymptotics in the creation of strange attractors in the quasi-periodically forced quadratic family

Thomas Ohlson Timoudas

Let $Φ$ be a quasi-periodically forced quadratic map, where the rotation constant $ω$ is a Diophantine irrational. A strange non-chaotic attractor (SNA) is an invariant (under $Φ$ )…

Sharp 21​-Hölder continuity of the Lyapunov exponent at the bottom of the spectrum for a class of Schrödinger cocycles

Asymptotic laws for a class of quasi-periodic Schrödinger cocycles at the lowest energy of the spectrum

Power law asymptotics in the creation of strange attractors in the quasi-periodically forced quadratic family

Sharp $\frac{1}{2}$ -Hölder continuity of the Lyapunov exponent at the bottom of the spectrum for a class of Schrödinger cocycles