Pascale Roesch
Paul Sabatier University
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Publication
Featured researches published by Pascale Roesch.
Conformal Geometry and Dynamics of The American Mathematical Society | 2010
Wenjuan Peng; Weiyuan Qiu; Pascale Roesch; Lei Tan; Yongcheng Yin
The KSS nest is a sophisticated choice of puzzle pieces given in [Ann. of Math. 165 (2007), 749–841]. This nest, once combined with the KLLemma, has proven to be a powerful machinery, leading to several important advancements in the field of holomorphic dynamics. We give here a presentation of the KSS nest in terms of tableau. This is an effective language invented by Branner and Hubbard to deal with the complexity of the dynamics of puzzle pieces. We show, in a typical situation, how to make the combination between the KSS nest and the KL-Lemma. One consequence of this is the recently proved Branner–Hubbard conjecture. Our estimates here can be used to give an alternative proof of the rigidity property.
arXiv: Dynamical Systems | 2014
Alexandre Dezotti; Pascale Roesch
This article deals with the question of local connectivity of the Julia set of polynomials and rational maps. It essentially presents conjectures and questions.
Comptes Rendus Mathematique | 2008
Pascale Roesch; Yongcheng Yin
Annals of Mathematics | 2008
Pascale Roesch
Annales Scientifiques De L Ecole Normale Superieure | 2007
Pascale Roesch
Archive | 1999
Pascale Roesch
Annales Scientifiques De L Ecole Normale Superieure | 2015
Pascale Roesch; Weiyuan Qiu; Xiaoguang Wang; Yongcheng Yin
Archive | 1997
Pascale Roesch
Comptes Rendus De L Academie Des Sciences Serie I-mathematique | 1998
Pascale Roesch
arXiv: Dynamical Systems | 2009
Pascale Roesch; Yongcheng Yin
