Parameter Spaces of Locally Constant Cocycles
نویسندگان
چکیده
Abstract This article concerns the locus of locally constant $\textrm{SL}(2,\mathbb{R})$-valued cocycles that have a dominated splitting, called hyperbolic locus. By developing theory Möbius semigroups we show on boundary locus, apart from few exceptions, exhibit some form behaviour. behaviour is used to answer question posed by Avila, Bochi and Yoccoz. Our approach introduces new cocycles, closely related motivates line investigation subject.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab116