Equilibrium States for Interval Maps: Potentials with sup φ − inf φ < h top (f)
نویسندگان
چکیده
منابع مشابه
Φ, sup
Well-posedness of constrained minimization problems via saddle-points BIAGIO RICCERI Dedicated to Professor Jean Saint Raymond on his sixtieth birthday, with my greatest admiration and esteem Here and in the sequel, X is a Hausdorff topological space, J, Φ are two real-valued functions defined in X, and a, b are two numbers in [−∞, +∞], with a < b.
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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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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2008
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-008-0596-0