A Livšic Theorem for Matrix Cocycles Over Non-uniformly Hyperbolic Systems
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DOI: 10.1007/s10884-018-9691-x
Abstract: We prove a Livšic-type theorem for Hölder continuous and matrix-valued cocycles over non-uniformly hyperbolic systems. More precisely, we prove that whenever $$(f,\mu )$$(f,μ) is a non-uniformly hyperbolic system and $$A:M \rightarrow GL(d,\mathbb {R}) $$A:M→GL(d,R) is… read more here.
Keywords: hyperbolic systems; matrix; uniformly hyperbolic; lder continuous ... See more keywords