Displaying similar documents to “Markov maps associated with fuchsian groups”

A holomorphic correspondence at the boundary of the Klein combination locus

Shaun Bullett, Andrew Curtis (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

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We investigate an explicit holomorphic correspondence on the Riemann sphere with striking dynamical behaviour: the limit set is a fractal resembling the one-skeleton of a tetrahedron and on each component of the complement of this set the correspondence behaves like a Fuchsian group.