4 papers
Green currents of holomorphic correspondences on compact Kähler manifolds
Muhan Luo, Marco Vergamini
Consider a holomorphic correspondence on a compact Kähler manifold of dimension . Let be any integer such that the dynamical degrees of satisfy $d_{q-…
-Hölder regularity of currents and equidistribution towards Green currents
Marco Vergamini
Let be an endomorphism of a projective space or an automorphism of a compact Kähler manifold. We prove that the pull-backs of currents under the iterates of converge expon…
Exponential mixing of all orders on Kähler manifolds: (quasi-)plurisubharmonic observables
Marco Vergamini, Hao Wu
Let be a holomorphic automorphism of a compact Kähler manifold with simple action on cohomology and its unique measure of maximal entropy. We prove that is exponenti…
Mixing and CLT for Hénon-Sibony maps: plurisubharmonic observables
Marco Vergamini, Hao Wu
Let be a complex Hénon map and its unique measure of maximal entropy. We prove that is exponentially mixing of all orders for all (not necessarily bounded) plurisubh…