4 papers · 1 filter
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…
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…
Monotonicity of dynamical degrees for H{é}non-like and polynomial-like maps
Fabrizio Bianchi, Tien-Cuong Dinh, Karim Rakhimov
We prove that, for every invertible horizontal-like map (i.e., H{é}non-like map) in any dimension, the sequence of the dynamical degrees is increasing until that of maximal value,…
A mean value criterion for plurisubharmonic functions
Karim Rakhimov, Shomurod Shopulatov
In this paper we prove a criterion for plurisubharmonic functions in terms of integral mean by complex ellipsoids. Moreover, by using the criterion we prove an analogue of Blaschke…