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math.DS2005
Renormalization in the Henon family, I: universality but non-rigidity
A. de Carvalho, M. Lyubich, M. Martens
In this paper geometric properties of infinitely renormalizable real Hénon-like maps in are studied. It is shown that the appropriately defined renormalizations …
math.DS2004
Convex Dynamics and Applications
R. L. Adler, B. Kitchens, M. Martens +3
This paper proves a theorem about bounding orbits of a time dependent dynamical system. The maps that are involved are examples in convex dynamics, by which we mean the dynamics of…