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20112026
most citedConditional Lipschitz shadowing for ordinary differential equations

9 citations · 23 across the 26 of their papers we have counts for

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math.DS2025

Robustness of nonuniform exponential dichotomies under a wider class of perturbations

Davor Dragicevic

The robustness property of exponential dichotomies refers to the stability of this notion under small linear perturbations. In recent work~\cite{PPX}, the authors have identified a…

math.DS2025

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…

math.DS2025

Decay of correlations and limit theorems for random intermittent maps

Davor Dragicevic, Yeor Hafouta, Juho Leppanen

In this paper, we revisit the problem of polynomial memory loss and the central limit theorem for time-dependent LSV maps. More precisely, we show that for random LSV maps correspo…

math.DS2025

Dichotomies for triangular systems on Hilbert spaces

Davor Dragicevic, Kenneth J. Palmer, Boris Petkovic

In this article, we study the relationship between the exponential dichotomy properties of a triangular system of linear difference equations and its associated diagonal system on…

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…

math.DS2025

Regularity of the variance in quenched CLT for random intermittent dynamical systems

Davor Dragičević, 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…