Séminaire Orléans

Holomorphic dynamical systems- topology and geometry.
Anna Zdunik (Warsaw)
Thursday 03 November 2011 14:00 -  Orléans -  Salle de Séminaire

Résumé :
Holomorphic dynamics provides a variety of examples of (dynamically defined) sets with fascinating topological or geometric properties. In this talk, I will describe some such examples. I will show how strange topological objects like "Cantor bouquet" ,"Straight brush", indecomposable continnum appear in the dynamics of transcendental holomorphic maps. Some striking geometric properties (like unexpected value of the Hausdorf dimension) will be also discussed. In the second part of the talk, I will discuss striking properties of harmonic measure on some "dynamically defined" invariant sets.

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