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math.DS2015
Hénon renormalization in arbitrary dimension : Invariant space under renormalization operator
Young Woo Nam
Infinitely renormalizable Hénon-like map in arbitrary finite dimension is considered. The set, of infinitely renormalizable Hénon-like maps satisfying the certain cond…
math.DS2015
Renormalization of Hénon map in arbitrary dimension I : Universality and reduction of ambient space
Young Woo Nam
Period doubling Hénon renormalization of strongly dissipative maps is generalized in arbitrary finite dimension. In particular, a small perturbation of toy model maps with dominate…