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Hyperbolicity of renormalization of critical circle maps

We settle the long-standing Hyperbolicity Conjecture for renormalization of critical circle maps, which implies universality. Our main tool is a new renormalization transformation, the cylinder renormalization, which can be extended to a complex-analytic operator on a Banach manifold of maps.

Detalles Bibliográficos
Autor principal: Yampolsky, M
Lenguaje:eng
Publicado: 2000
Materias:
Acceso en línea:http://cds.cern.ch/record/456566