Renormalization and rigidity of polynomials of higher degree
Inou, Hiroyuki
J. Math. Kyoto Univ., Tome 42 (2002) no. 4, p. 351-392 / Harvested from Project Euclid
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Renormalization plays a very important role in the study of the dynamics of quadratic polynomials. We generalize renormalization to polynomials of any degree so that a lot of known properties still hold for the generalized renormalization. In particular, we generalize McMullen’s result that any robust infinitely renormalizable quadratic polynomial carries no invariant line field.
Publié le : 2002-05-15
Classification:  37F10,  37F20,  37F50 
@article{1250283876,
     author = {Inou, Hiroyuki},
     title = {Renormalization and rigidity of polynomials of higher degree},
     journal = {J. Math. Kyoto Univ.},
     volume = {42},
     number = {4},
     year = {2002},
     pages = { 351-392},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283876}
}

Inou, Hiroyuki. Renormalization and rigidity of polynomials of higher degree. J. Math. Kyoto Univ., Tome 42 (2002) no. 4, pp.  351-392. http://gdmltest.u-ga.fr/item/1250283876/