M. Lyubich

activity

20022008

most citedA priori bounds for some infinitely renormalizable quadratics: III. Molecules

7 citations · 22 across the 9 of their papers we have counts for

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Showing 2008 · math.DSShow all

2 papers · 2 filters

math.DS2008

Parapuzzle of the Multibrot set and typical dynamics of unimodal maps

Artur Avila, Mikhail Lyubich, Weixiao Shen

We study the parameter space of unicritical polynomials $f_{c} : z \mapsto z^{d} + c$ . For complex parameters, we prove that for Lebesgue almost every $c$ , the map $f_{c}$ is either hyperboli…

math.DS2008★ 2 cited

Renormalization in the Hénon family, II: The heteroclinic web

Mikhail Lyubich, Marco Martens

We study highly dissipative Hénon maps $F_{c, b} : (x, y) \mapsto (c - x^{2} - b y, x)$ with zero entropy. They form a region $Π$ in the parameter plane bounded on the left by the curve…