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Arithmetic properties of centralizers of diffeomorphisms of the half-line
Helene Eynard
Let f be a smooth diffeomorphism of the half-line fixing only the origin and Z^r_f its centralizer in the group of C^r diffeomorphisms. According to well-known results of Szekeres…
math.DS2010
A connectedness result for commuting diffeomorphisms of the interval
Helene Eynard
Let D^r_+[0,1], r >= 1, denote the group of orientation-preserving C^r diffeomorphisms of [0,1]. We show that any two representations of Z^2 in D^r_+[0,1], r >= 2, are connected by…
math.DS2008
On the centralizer of diffeomorphisms of the half-line
Hélène Eynard
Let f be a smooth diffeomorphism of the half-line fixing only the origin and Z^r its centralizer in the group of C^r diffeomorphisms. According to well-known results of Szekeres an…