$J$ -stability of expanding maps in non-Archimedean dynamics
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.53
Abstract: The aim of this paper is to show $J$ -stability of expanding rational maps over an algebraically closed, complete and non-Archimedean field of characteristic zero. More precisely, we will show that for any expanding rational… read more here.
Keywords: expanding rational; rational map; non archimedean; expanding maps ... See more keywords
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
The attractor of piecewise expanding maps of the interval
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DOI: 10.1142/s0219493720500094
Abstract: We consider piecewise expanding maps of the interval with finitely many branches of monotonicity and show that they are generically combinatorially stable, i.e. the number of ergodic attractors and their corresponding mixing components do not… read more here.
Keywords: expanding maps; maps interval; piecewise expanding; attractor piecewise ... See more keywords