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- W3005672080 abstract "<p style='text-indent:20px;'>Given a locally constant linear cocycle over a subshift of finite type, we show that the existence of a uniform gap between the <inline-formula><tex-math id=M1>begin{document}$ i^text{th} $end{document}</tex-math></inline-formula> and <inline-formula><tex-math id=M2>begin{document}$ (i+1)^text{th} $end{document}</tex-math></inline-formula> Lyapunov exponents for all invariant measures implies the existence of a dominated splitting of index <inline-formula><tex-math id=M3>begin{document}$ i $end{document}</tex-math></inline-formula>. We establish a similar result for sofic subshifts coming from word hyperbolic groups, in relation with Anosov representations of such groups. We discuss the case of finitely generated semigroups, and propose a notion of Anosov representation in this setting.</p>" @default.
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- W3005672080 date "2022-01-01" @default.
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- W3005672080 title "Eigenvalue gaps for hyperbolic groups and semigroups" @default.
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