Invariant Measures for Real Analytic Expanding Maps
نویسندگان
چکیده
Let X be a compact connected subset of Rd with non-empty interior, and T : X → X a real analytic full branch expanding map with countably many branches. Elements of a thermodynamic formalism for such systems are developed, including criteria for compactness of transfer operators acting on spaces of bounded holomorphic functions. In particular a new sufficient condition for the existence of a T -invariant probability measure equivalent to Lebesgue measure is obtained.
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