14 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…
Generalized dichotomies via time rescaling
Davor Dragicevic, Cesar M. Silva
For discrete-time nonautonomous linear dynamics and a large class of discrete growth rates , we show that the notion of dichotomy (with respect to a sequence of norms) can…
Quenched and annealed linear response for some partially hyperbolic skew products
Davor Dragicevic, Yeor Hafouta
We prove quenched and annealed statistical stability, linear response, and differentiability of asymptotic moments for parametric families of partially hyperbolic skew products, wi…
h-Dichotomies via noncritical uniformity and expansiveness for evolution families
Davor Dragicevic
In a recent paper (Math. Ann. 393 (2025), 1769--1795), Elorreaga et al. have obtained a complete characterization of the notion of a -dichotomy for ordinary differential equatio…
Effective quenched linear response for random dynamical systems
Davor Dragicevic, Yeor Hafouta
We prove ``effective'' linear response for certain classes of non-uniformly expanding random dynamical systems which are not necessarily composed in an i.i.d manner. In application…
Regularity of the variance in quenched CLT for random intermittent dynamical systems
Davor DragiÄeviÄ, Juho Leppänen
We study random dynamical systems composed of LSV maps with varying parameters, without any mixing assumptions on the base space of random dynamics. We establish a quenched central…