4 papers
On the support of measures of large entropy for automorphisms of Kähler manifolds
Fabrizio Bianchi, Sobir Boymurodov, Karim Rakhimov
Let be a holomorphic automorphism of a compact Kähler manifold with simple action on cohomology. We show that every ergodic measure with sufficiently large entropy is supp…
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…
Flat structure of meromorphic connections on Riemann surfaces
Karim Rakhimov
The possible omega limit sets of simple geodesics for meromorphic connections on compact Riemann surfaces have been studied by Abate, Tovena and Bianchi. In this paper, we study th…
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…