Fabrizio Bianchi

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20232026

most citedEvery complex H{é}non map is exponentially mixing of all orders and satisfies the CLT

2 citations · 2 across the 8 of their papers we have counts for

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Showing 2024 · math.DSShow all

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math.DS2024

On the support of measures of large entropy for polynomial-like maps

Sardor Bazarbaev, Fabrizio Bianchi, Karim Rakhimov

Let $f$ be a polynomial-like map with dominant topological degree $d_{t} \geq 2$ and let $d_{k - 1} < d_{t}$ be its dynamical degree of order $k - 1$ . We show that the support of every ergodi…

math.DS2024

Horn maps of semi-parabolic Hénon maps

Astorg Matthieu, Bianchi Fabrizio

We prove that horn maps associated to quadratic semi-parabolic fixed points of Hénon maps, first introduced by Bedford, Smillie, and Ueda, satisfy a weak form of the Ahlfors island…