Work

Exponential mixing of all orders on Kähler manifolds: (quasi-)plurisubharmonic observables

Year: 2026

Type: article

Abstract: Let f be a holomorphic automorphism of a compact Kähler manifold with simple action on cohomology and $$\mu $$ μ its unique measure of maximal entropy. We prove that $$\mu $$ μ is exponentially mixing of all orders for all d.s.h. observables, i.e., functions that are locally differences of plurisubharmonic functions. As a consequence, every d.s.h. observable satisfies the central limit theorem with respect to $$\mu $$ μ .

Source: Mathematische Zeitschrift

DOI: 10.1007/s00209-026-04010-x

Authors: Marco Vergamini, Hao Wu

Institutions: Scuola Normale Superiore, Nanjing University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Scuola Normale Superiore, National University of Singapore