Fabrizio Bianchi

activity

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 2024Show all

3 papers · 1 filter

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.CV2024

Hölder continuity and laminarity of the Green currents for Hénon-like maps

Fabrizio Bianchi, Tien-Cuong Dinh, Karim Rakhimov

Under a natural assumption on the dynamical degrees, we prove that the Green currents associated to any Hénon-like map in any dimension have Hölder continuous super-potentials, i.e…

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…