We show that given a one-parameter family F-b of strongly dissipative infinitely renormalizable Henon-like maps, parametrized by a quantity called the 'average Jacobian' b, the set of all parameters b such that F-b has a Cantor set with unbounded geometry has full Lebesgue measure
Abstract. We consider infinitely renormalizable Lorenz maps with real crit-ical exponent α> 1 and...
AbstractWe prove a one-to-one correspondence between (i) C1+ conjugacy classes of C1+H Cantor exchan...
Abstract. This paper deals with strange attractors of S-unimodal maps f. It gen-eralizes results fro...
In this paper geometric properties of infinitely renormalizable real Henon-like maps F in R-2 are st...
The aim of this thesis is to develop a renormalisation theory for the H'enon family combinatorics ot...
We extend the renormalization operator introduced in [A. de Carvalho, M. Martens and M. Lyubich. Ren...
We study highly dissipative Hénon maps Fc,b: (x, y) 7 → (c − x 2 − by, x) with zero entropy. They f...
In this paper geometric properties of infinitely renormalizable real Henon-like maps F in R-2 are st...
Since its inception in the 1970s at the hands of Feigenbaum and, independently, Coullet and Tresser ...
The period-doubling Cantor sets of strongly dissipative Henon-like maps with different average Jacob...
The aim of the thesis is to study the renormalization of unimodal maps with low smoothness and the d...
This thesis consists of an introduction and four research papers concerning dynamical systems, focus...
AbstractThe notion of infinitely renormalizable diffeomorphisms is given. It is discussed that the r...
In this paper we shall show that there exists a polynomial unimodal map f : [0; 1] ! [0; 1] which i...
We prove a one-to-one correspondence between (i) C1+ conjugacy classes of C1+H Cantor exchange syste...
Abstract. We consider infinitely renormalizable Lorenz maps with real crit-ical exponent α> 1 and...
AbstractWe prove a one-to-one correspondence between (i) C1+ conjugacy classes of C1+H Cantor exchan...
Abstract. This paper deals with strange attractors of S-unimodal maps f. It gen-eralizes results fro...
In this paper geometric properties of infinitely renormalizable real Henon-like maps F in R-2 are st...
The aim of this thesis is to develop a renormalisation theory for the H'enon family combinatorics ot...
We extend the renormalization operator introduced in [A. de Carvalho, M. Martens and M. Lyubich. Ren...
We study highly dissipative Hénon maps Fc,b: (x, y) 7 → (c − x 2 − by, x) with zero entropy. They f...
In this paper geometric properties of infinitely renormalizable real Henon-like maps F in R-2 are st...
Since its inception in the 1970s at the hands of Feigenbaum and, independently, Coullet and Tresser ...
The period-doubling Cantor sets of strongly dissipative Henon-like maps with different average Jacob...
The aim of the thesis is to study the renormalization of unimodal maps with low smoothness and the d...
This thesis consists of an introduction and four research papers concerning dynamical systems, focus...
AbstractThe notion of infinitely renormalizable diffeomorphisms is given. It is discussed that the r...
In this paper we shall show that there exists a polynomial unimodal map f : [0; 1] ! [0; 1] which i...
We prove a one-to-one correspondence between (i) C1+ conjugacy classes of C1+H Cantor exchange syste...
Abstract. We consider infinitely renormalizable Lorenz maps with real crit-ical exponent α> 1 and...
AbstractWe prove a one-to-one correspondence between (i) C1+ conjugacy classes of C1+H Cantor exchan...
Abstract. This paper deals with strange attractors of S-unimodal maps f. It gen-eralizes results fro...
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