Endomorphismes aleatoires dans les espaces projectifs I

TL;DR

This paper investigates random holomorphic endomorphisms of complex projective spaces, constructing associated Green currents and measures, and demonstrating their mixing properties under certain assumptions.

Contribution

It introduces a framework for defining and analyzing random Green currents and measures for holomorphic endomorphisms of P^k(C), establishing their mixing behavior.

Findings

Construction of random Green currents and measures.

Proof of mixing properties of these measures.

Framework applicable under specific assumptions.

Abstract

We study random holomorphic endomorphisms of P^k(C). Under some assumptions, we construct a random Green current and a random Green measure and we prove that these measures have mixing properties.