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@article{Cheraghi:2010:10.1090/S1088-4173-2010-00216-X,
author = {Cheraghi, D},
doi = {10.1090/S1088-4173-2010-00216-X},
journal = {CONFORMAL GEOMETRY AND DYNAMICS, An Electronic Journal of the American Mathematical Society},
pages = {219--255},
title = {Combinatorial rigidity for some infinitely renormalizable unicritical polynomials},
url = {http://dx.doi.org/10.1090/S1088-4173-2010-00216-X},
volume = {14},
year = {2010}
}

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TY  - JOUR
AB  - We prove combinatorial rigidity of infinitely renormalizable unicriticalpolynomials, P_c :z \mapsto z^d+c, with complex c, under the a priori boundsand a certain "combinatorial condition". This implies the local connectivity ofthe connectedness loci (the Mandelbrot set when d = 2) at the correspondingparameters.
AU  - Cheraghi,D
DO  - 10.1090/S1088-4173-2010-00216-X
EP  - 255
PY  - 2010///
SN  - 1088-4173
SP  - 219
TI  - Combinatorial rigidity for some infinitely renormalizable unicritical polynomials
T2  - CONFORMAL GEOMETRY AND DYNAMICS, An Electronic Journal of the American Mathematical Society
UR  - http://dx.doi.org/10.1090/S1088-4173-2010-00216-X
UR  - http://www.ams.org/journals/ecgd/2010-14-13/S1088-4173-2010-00216-X/S1088-4173-2010-00216-X.pdf
UR  - http://www.ams.org/
UR  - http://hdl.handle.net/10044/1/18489
VL  - 14
ER  -

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