Robustness of ergodic properties of non-autonomous piecewise expanding maps
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.67
Abstract: Recently, there has been an increasing interest in non-autonomous composition of perturbed hyperbolic systems: composing perturbations of a given hyperbolic map $F$ results in statistical behaviour close to that of $F$ . We show this… read more here.
Keywords: ergodic properties; non autonomous; piecewise; expanding maps ... See more keywords
Ergodic properties of bimodal circle maps
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.80
Abstract: We give conditions that characterize the existence of an absolutely continuous invariant probability measure for a degree one $C^{2}$ endomorphism of the circle which is bimodal, such that all its periodic orbits are repelling, and… read more here.
Keywords: bimodal circle; circle maps; ergodic properties; properties bimodal ... See more keywords
Infinite ergodic theory for three heterogeneous stochastic models with application to subrecoil laser cooling.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.064126
Abstract: We compare ergodic properties of the kinetic energy for three stochastic models of subrecoil-laser-cooled gases. One model is based on a heterogeneous random walk (HRW), another is an HRW with long-range jumps (the exponential model),… read more here.
Keywords: laser; subrecoil laser; laser cooling; stochastic models ... See more keywords
Impact of symmetry on ergodic properties of triangular billiards.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.l012201
Abstract: Polygonal billiards constitute some of the simplest yet counterintuitive dynamical systems in physics. Even basic features of the dynamics, such as ergodicity of the microcanonical distribution or the decay of correlations have not been settled… read more here.
Keywords: ergodic properties; impact symmetry; triangular billiards; properties triangular ... See more keywords