The book aims to provide a global perspective of this theory and make it easier for the
reader to digest the growing literature on this subject. This is not the first book on the subject …

This self-contained monograph presents a unified exposition of the thermodynamic
formalism and some of its main extensions, with emphasis on the relation to dimension …

Full article: Thermodynamic formalism for interval maps: inducing schemes Skip to Main
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We study the thermodynamic formalism for suspension flows over countable Markov shifts
with roof functions not necessarily bounded away from zero. We establish conditions to …

We construct open sets of C k (k≥ 2) vector fields with singularities that have robust
exponential decay of correlations with respect to the unique physical measure. In particular …

Upper, down, two-sided Lorenz attractor, collisions, merging, and switching Page 1 Ergod. Th.
& Dynam. Sys., page 1 of 45 © The Author(s), 2024. Published by Cambridge University Press …

We suggest a notion of hyperbolicity adapted to the geometric Rovella attractor (Robinson
2012 An Introduction to Dynamical Systems—Continuous and Discrete (Pure and Applied …

In this paper, we construct a countable partition A for flows with hyperbolic singularities by
introducing a new cross section at each singularity. Such partition forms a Kakutani tower in …

We present criteria for statistical stability of attracting sets for vector fields using dynamical
conditions on the corresponding generated flows. These conditions are easily verified for all …

In this paper we study the multifractal analysis and large derivations for singular hyperbolic
attractors, including the geometric Lorenz attractors. For each singular hyperbolic homoclinic …