C. Butler

activity

20102025

most citedContinuity of Lyapunov Exponents for Cocycles with Invariant Holonomies

28 citations · 75 across the 15 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.DS2019★ 2 cited

Thermodynamic formalism of $G L_{2} (R)$ -cocycles with canonical holonomies

Clark Butler, Kiho Park

We study singular value potentials of Hölder continuous $G L_{2} (R)$ -cocycles over hyperbolic systems whose canonical holonomies converge and are Hölder continuous. Such cocy…

math.DS2019

Continuity of Lyapunov exponents in all Hölder topologies for irreducible cocycles

Clark Butler

We prove that a locally constant $S L_{2} (R)$ -valued cocycle over the shift generated by an irreducible collection of matrices is a continuity point for Lyapunov exponents…

Thermodynamic formalism of GL2​(R)-cocycles with canonical holonomies

Continuity of Lyapunov exponents in all Hölder topologies for irreducible cocycles

Thermodynamic formalism of $G L_{2} (R)$ -cocycles with canonical holonomies