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5 papers · 2 filters
Examples of coarse expanding conformal maps
Peter Haissinsky, Kevin M. Pilgrim
In previous work, a class of noninvertible topological dynamical systems was introduced and studied; we called these {\em topologically coarse expanding conformal} sys…
Monodromy and topological classification of germs of holomorphic foliations
David Marín, Jean-François Mattei
We give a complete topological classification of germs of holomorphic foliations in the plane under rather generic conditions. The key point is the introduction of a new topologica…
Carrots for dessert
Carsten Lunde Petersen, Pascale Roesch
Carrots for dessert is the title of a section of the paper `On polynomial-like mappings' by Douady and Hubbard. In that section the authors define a notion of dyadic carrot fields…
Courants dynamiques pluripolaires
Xavier Buff
We show the existence of birational self-maps f of P^k which are algebraically stable with algebraic degree d, for which there is a unique positive closed (1,1) current T satisfyin…
A model for the parabolic slices Per_1(e^{2πi p/q}) in moduli space of quadratic rational maps
Eva Uhre
The notion of relatedness loci in the parabolic slices Per_1(e^{2πi p/q}) in moduli space of quadratic rational maps is introduced. They are counterparts of the disconnectedness or…