O. Kozlovski

activity

20042013

most citedAxiom A maps are dense in the space of unimodal maps in the

C^{k}

topology

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2013

Cyclicity in families of circle maps

O Kozlovski

In this paper we will study families of circle maps of the form $x \mapsto x + 2 π r + a f (x) (mod 2 π)$ and investigate how many periodic trajectories maps from this family can have fo…

math.DS2008

Higher order Schwarzian derivatives in interval dynamics

O. Kozlovski, D. Sands

We introduce an infinite sequence of higher order Schwarzian derivatives closely related to the theory of monotone matrix functions. We generalize the classical Koebe lemma to maps…

math.DS2004★ 5 cited

Axiom A maps are dense in the space of unimodal maps in the $C^{k}$ topology

Oleg S. Kozlovski

In this paper we prove C^k structure stability conjecture for unimodal maps. In other words, we shall prove that Action A maps are dense in the space of C^k unimodal maps in the C^…

Cyclicity in families of circle maps

Higher order Schwarzian derivatives in interval dynamics

Axiom A maps are dense in the space of unimodal maps in the Ck topology

Axiom A maps are dense in the space of unimodal maps in the $C^{k}$ topology