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20202026
most citedMonotonicity of dynamical degrees for H{é}non-like and polynomial-like maps

2 citations · 4 across the 7 of their papers we have counts for

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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 be a polynomial-like map with dominant topological degree and let be its dynamical degree of order . 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.CV2024

Dynamics of Fuchsian meromorphic connections with real periods

Marco Abate, Karim Rakhimov

In this paper, we study the dynamics of geodesics of Fuchsian meromorphic connections with real periods, giving a precise characterization of the possible -limit sets of simple…