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The bifurcation measure is exponentially mixing

Dynamical Systems 2024-05-06 v1 Complex Variables

Abstract

We prove general mixing theorems for sequences of meromorphic maps on compact K\"ahler manifolds. We deduce that the bifurcation measure is exponentially mixing for a family of rational maps of Pq(C)\mathbb{P}^q(\mathbb{C}) endowed with suitably many marked points.

Keywords

Cite

@article{arxiv.2405.01939,
  title  = {The bifurcation measure is exponentially mixing},
  author = {Henry de Thelin},
  journal= {arXiv preprint arXiv:2405.01939},
  year   = {2024}
}

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15 pages