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Distribution of postcritically finite polynomials.

Authors :
Favre, C.
Gauthier, T.
Source :
Israel Journal of Mathematics; Sep2015, Vol. 209 Issue 1, p235-292, 58p
Publication Year :
2015

Abstract

We prove that Misiurewicz parameters with prescribed combinatorics and hyperbolic parameters with ( d − 1) distinct attracting cycles with given multipliers are equidistributed with respect to the bifurcation measure in the moduli space of degree d complex polynomials. Our proof relies on Yuan's equidistribution results of points of small heights, and uses in a crucial way Epstein's transversality results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00212172
Volume :
209
Issue :
1
Database :
Complementary Index
Journal :
Israel Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
110652688
Full Text :
https://doi.org/10.1007/s11856-015-1218-0