Sur les automorphismes reguliers de C^k

TL;DR

This paper proves the uniqueness of the measure of maximal entropy for regular automorphisms of complex k-dimensional space, C^k, advancing understanding of their dynamical properties.

Contribution

It establishes the uniqueness of the measure of maximal entropy specifically for regular automorphisms of C^k, a significant result in complex dynamics.

Findings

Uniqueness of the measure of maximal entropy for regular automorphisms of C^k

Advances understanding of dynamical measures in complex spaces

Provides foundational results for further studies in complex automorphism dynamics

Abstract

We show the uniqueness for the measure of maximal entropy for regular automorphisms of C^k.