Resumo (PT):
We present an infinite dimensional space of $C^{1+}$ smooth conjugacy classes of circle diffeomorphisms that are C^{1+} fixed points of renormalization. We exhibit a one-to-one correspondence between these C^{1+} fixed points of renormalization and C^{1+} conjugacy classes of Anosov diffeomorphisms.
Abstract (EN):
We present an infinite dimensional space of $C^{1+}$ smooth conjugacy classes of circle diffeomorphisms that are C^{1+} fixed points of renormalization. We exhibit a one-to-one correspondence between these C^{1+} fixed points of renormalization and C^{1+} conjugacy classes of Anosov diffeomorphisms.
Language:
English
Type (Professor's evaluation):
Scientific