We consider discrete time dynamical systems and show the link between Hitting Time
Statistics (the distribution of the first time points land in asymptotically small sets) and …

In this paper we study the thermodynamic formalism of strongly transitive endomorphisms $ f
$, focusing on the set all expanding measures. In case $ f $ is a non-flat $ C^{1+} $ map …

R.–Nous considérons des familles t↦→ ft d'applications unimodales C4, de
récurrence postcritique lente, avec une dépendance C2 en fonction du paramètre t. Nous …

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 sup φ …

R.–Soit f: I→ I une application multimodale de classe C2 dont les dérivées le long
des orbites des points critiques sont à croissance polynomiale, où I est un intervalle. Nous …

Full article: Thermodynamic formalism for interval maps: inducing schemes Skip to Main
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There is a wealth of results in the literature on the thermodynamic formalism for potentials
that are, in some sense,“hyperbolic”. We show that for a sufficiently regular one-dimensional …

In the early 60's Sarkovskii discovered his famous theorem on the coexistence of periodic
orbits for interval maps. Then, in the mid 70's, Li & Yorke rediscovered this result and …

This paper is an interval dynamics counterpart of three theories founded earlier by the
authors, S. Smirnov and others in the setting of the iteration of rational maps on the Riemann …

We prove that a $ C^ 3$ critical circle map without periodic points has zero Lyapunov
exponent with respect to its unique invariant Borel probability measure. Moreover, no critical …