Parametric Lyapunov exponents

被引：1

作者：

De Thelin, Henry ^{[1
]}

Gauthier, Thomas ^{[2
]}

Vigny, Gabriel ^{[3
]}

机构：

[1] Univ Sorbonne Paris Nord, LAGA CNRS, UMR 7539, F-93430 Villetaneuse, France

[2] Inst Polytech Paris, CMLS UMR 7640, Ecole Polytech, F-91128 Palaiseau, France

[3] Univ Picardie Jules Verne, LAMFA UMR 7352, 33 Rue St Leu, F-80039 Amiens 1, France

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2021年 / 53卷 / 03期

关键词：

28D20; 37F10; 37F46 (primary); HARMONIC MEASURE; BOUNDARY; ECKMANN; COLLET;

D O I：

10.1112/blms.12441

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In an algebraic family of rational maps of P1, we show that, for almost every parameter for the trace of the bifurcation current of a marked critical value, the critical value is Collet-Eckmann. This extends previous results of Graczyk and swiatek in the unicritical family, using Makarov theorem. Our methods are based instead on ideas of laminar currents theory.

引用

页码：660 / 672

页数：13

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