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math.DS2025
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…
math.DS2025
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…