Thermodynamic formalism for random non-uniformly expanding maps

M Stadlbauer, S Suzuki, P Varandas - Communications in Mathematical …, 2021 - Springer
We develop a quenched thermodynamic formalism for a wide class of random maps with
non-uniform expansion, where no Markov structure, no uniformly bounded degree or the …

Correlation entropy of free semigroup actions

X Ye, Y Tang, D Ma - Journal of Statistical Physics, 2024 - Springer
This paper introduces the concepts of correlation entropy and local correlation entropy for
free semigroup actions on compact metric space, and investigates their underlying …

Average Topological Pressure and a Variational Principle

M Rahimi, A Ghodrati - Journal of Dynamical and Control Systems, 2024 - Springer
In this paper, we define a new version of topological pressure, called average topological
pressure, for dynamical systems. We present some of its properties and prove an Abramov …

Topological entropy of iid case and free semigroup actions

X Ye, R Kuang, Y Tang, D Ma - Journal of Mathematical Analysis and …, 2024 - Elsevier
In this paper, firstly we give a new condition to prove that classical topological entropy is
equal to Pesin topological entropy in iid case. After that, we generalize the concepts of …

On Metric Pressure of Random Dynamical Systems: A Local Viewpoint

M Rahimi, A Ghodrati - Iranian Journal of Science, 2023 - Springer
In this paper, we present a local approach to the metric pressure of random dynamical
systems. We define a non-negative measurable map with the property that, its integral with …

Entropies of random transformations on a non-compact space

Z Li, D Tang - Results in Mathematics, 2019 - Springer
In this paper, we present several possible natural extensions of metric and topological
entropies for random transformations on a non-compact space. In particular, Brin–Katok …

Remarks on Metric Entropy of Random Actions on a Non-compact Space

Z Li, D Tang - Qualitative theory of dynamical systems, 2019 - Springer
Remarks on Metric Entropy of Random $${\mathbb {Z}}^2$$ Actions on a Non-compact Space
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