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

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

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2 papers

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.CV2023★ 2 cited

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

Fabrizio Bianchi, Tien-Cuong Dinh

We show that the measure of maximal entropy of every complex Hénon map is exponentially mixing of all orders for H\''older observables. As a consequence, the Central Limit Theorem…