33 citations · 258 across the 38 of their papers we have counts for
38 papers
From a Gap in the Lyapunov Spectrum to Dominated Splittings
Lucas Backes
Let be an -Hölder cocycle over a transitive two-sided subshift of finite type, and assume that is strongly bunched. We prove that if there exist a…
Periodic approximation of Lyapunov exponents for cocycles admitting invariant holonomies
Lucas Backes, Breno Rilho Lemos, Breno Rocha
Classical results establish that the Lyapunov exponents of an ergodic measure for linear cocycles over hyperbolic systems can be approximated by the Lyapunov exponents of periodic…
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…
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…
Livšic regularity for random and sequential dynamics through transfer operators
Lucas Backes, Davor Dragicevic, Yeor Hafouta
We prove Livšic-type regularity results of coboundary representations for non-autonomous dynamical systems. Our results have an abstract nature and apply to several important speci…
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…