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arXiv 1002.3942math.DS
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可重正化Henon型映射与无界几何

Renormalisable Henon-like Maps and Unbounded Geometry

Peter Hazard, Mikhail Lyubich, Marco Martens

摘要:

我们表明,给定一个参数家庭$F_b$的强耗散的无限重正化的Hénon-like映射,参数化的数量称为“平均雅可比”$b$,所有参数$b$的集合,使$F_b$有一个康托尔集与无界几何有充分的勒贝格测度。

英文摘要:

We show that given a one parameter family $F_b$ of strongly dissipative infinitely renormalisable Hénon-like maps, parametrised by a quantity called the `average Jacobian' $b$, the set of all parameters $b$ such that $F_b$ has a Cantor set with unbounded geometry has full Lebesgue measure.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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