43 citations · 143 across the 25 of their papers we have counts for
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math.DS2011
Probabilistic Universality in two-dimensional Dynamics
Mikhail Lyubich, Marco Martens
In this paper we continue to explore infinitely renormalizable Hénon maps with small Jacobian. It was shown in [CLM] that contrary to the one-dimensional intuition, the Cantor attr…
math.DG2011
Focal Rigidity of Flat Tori
Ferry Kwakkel, Marco Martens, Mauricio Peixoto
Given a closed Riemannian manifold (M, g), there is a partition Σ_i of its tangent bundle TM called the focal decomposition. The sets Σ_i are closely associated to focusing of geod…