Sander C. Hille, Katarzyna Horbacz, Hanna Oppelmayer, Tomasz Szarek
Published 2024-08-14Version 1
Stochastic dynamical systems consisting of non-invertible continuous maps on an interval are studied. It is proved that if they satisfy the recently introduced so-called $\mu$-injectivity and some mild assumptions, then proximality, asymptotic stability and a central limit theorem hold.
Decay of correlations and laws of rare events for random maps with a dense orbit
A representation formula for the probability density in stochastic dynamical systems with memory
A Topological Framework for Identifying Phenomenological Bifurcations in Stochastic Dynamical Systems
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