Equilibrium States of Weakly Hyperbolic One-Dimensional Maps for Hölder Potentials
نویسندگان
چکیده
منابع مشابه
Equilibrium States for Interval Maps: Potentials
We study an inducing scheme approach for smooth interval maps to prove existence and uniqueness of equilibrium states for potentials φ with the ‘bounded range’ condition supφ − inf φ < htop(f), first used by Hofbauer and Keller [HK]. We compare our results to Hofbauer and Keller’s use of PerronFrobenius operators. We demonstrate that this ‘bounded range’ condition on the potential is important ...
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In the context of smooth interval maps, we study an inducing scheme approach to prove existence and uniqueness of equilibrium states for potentials φ with the ‘bounded range’ condition supφ − inf φ < htop, first used by Hofbauer and Keller [HK]. We compare our results to Hofbauer and Keller’s use of PerronFrobenius operators. We demonstrate that this ‘bounded range’ condition on the potential i...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2014
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-014-1952-x