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math.DS2005
Contour integrals as -invariant functions on the fundamental group
Marcin Bobienski
We introduce a general approach to contour integrals. It covers usual Abelian integrals, the higher order Melnikov integrals and the generalized Abelian integrals. We prove that th…
math.DS2003
On Hausdorff dimension of some Cantor attractors
Genadi Levin, Feliks Przytycki
We study what happens with the dimension of Feigenbaum-like attractors of smooth unimodal maps as the order of the critical point grows