Rigidity in Dynamics
de Melo, W.
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 789-796 / Harvested from Project Euclid
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In this paper we will review several results of rigidity in one-dimensional dynamics and its relation to renormalization. In many one dimensional dynamical systems the existence of a topological conjugacy between two mappings implies that the restriction of the conjugacy to the attractor extends to a smooth mapping. Thus the combinatorics imposes severe restrictions on the geometry of the attractor.
Publié le : 2008-11-15
Classification:  rigidity,  renormalization,  smooth conjugacy,  37E05,  37F45,  30D05 
@article{1228486407,
     author = {de Melo, W.},
     title = {Rigidity in Dynamics},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 789-796},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1228486407}
}

de Melo, W. Rigidity in Dynamics. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  789-796. http://gdmltest.u-ga.fr/item/1228486407/