5 papers
Smooth linearization of nonautonomous dynamics under general dichotomic behaviour
Lucas Backes, Davor Dragicevic, Wenmeng Zhang
The main purpose of this paper is to formulate new conditions for smooth linearization of nonautonomous systems with discrete and continuous time. Our results assume that the linea…
Livšic regularity for random and sequential dynamics through transfer operators
Lucas Backes, Davor Dragicevic, Yeor Hafouta
We prove LivÅ¡ic-type regularity results of coboundary representations for non-autonomous dynamical systems. Our results have an abstract nature and apply to several important spec…
Dominated splittings and periodic data for quasi-compact operator cocycles
Lucas Backes
For infinite-dimensional quasi-compact cocycles over a map satisfying a certain closing condition, we show that periodic orbits carry enough information to guarantee the existence…
A characterization of -dichotomies via admissibility
Lucas Backes, Davor Dragicevic
We present a characterization of -dichotomies in terms of the admissibility of certain pairs of weighted spaces for nonautonomous discrete time dynamics acting on Banach s…
Variational principles for metric mean dimension with potential of level sets
Lucas Backes, Chunlin Liu, Fagner B. Rodrigues
We establish three variational principles for the upper metric mean dimension with potential of level sets of continuous maps in terms of the entropy of partitions and Katok's entr…