43 citations · 143 across the 25 of their papers we have counts for
27 papers
Newhouse Laminations of polynomials on
Marco Martens, Liviana Palmisano, Zhuang Tao
It has been recently discovered that in smooth unfoldings of maps with a rank-one homoclinic tangency there are codimension two laminations of maps with infinitely many sinks. Inde…
Newhouse Laminations
Michael Benedicks, Marco Martens, Liviana Palmisano
Newhouse laminations occur in unfoldings of rank-one homoclinic tangencies. Namely, in these unfoldings, there exist codimension laminations of maps with infinitely many sinks…
Infinitely Many Moduli of Stability at the Dissipative Boundary of Chaos
Peter Hazard, Marco Martens, Charles Tresser
In the family of area-contracting Hénon-like maps with zero topological entropy we show that there are maps with infinitely many moduli of stability. Thus one cannot find all the p…
The Rigidity Conjecture
Marco Martens, Liviana Palmisano, Björn Winckler
A central question in dynamics is whether the topology of a system determines its geometry. This is known as rigidity. Under mild topological conditions rigidity holds for many cla…
Instability of Renormalization
Marco Martens, Björn Winckler
In the theory of renormalization for classical dynamical systems, e.g. unimodal maps and critical circle maps, topological conjugacy classes are stable manifolds of renormalization…
Rigidity of critical circle maps
Pablo Guarino, Marco Martens, Welington de Melo
We prove that any two critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a circle diffeomorphism.…