Bifurcation measures are exponentially mixing
Volume 270 / 2025
Fundamenta Mathematicae 270 (2025), 223-237
MSC: Primary 37A25; Secondary 37F46, 37F80
DOI: 10.4064/fm240520-3-1
Published online: 13 August 2025
Abstract
We prove general mixing theorems for sequences of meromorphic maps on compact Kähler manifolds. We deduce that bifurcation measures associated with a family of rational maps of $\mathbb {P}^q(\mathbb {C})$ and suitably many marked points are exponentially mixing.
