Let f be a complex Henon map and \mu its unique measure of maximal entropy. We prove that mu is exponentially mixing of all orders for all (not necessarily bounded) plurisubharmonic observables, and that all plurisubharmonic functions satisfy the central limit theorem with respect to \mu. Our results hold more generally for every Henon-Sibony map on C-k.
Mixing and CLT for Hénon–Sibony maps : Plurisubharmonic observables
Vergamini, Marco;
2026
Abstract
Let f be a complex Henon map and \mu its unique measure of maximal entropy. We prove that mu is exponentially mixing of all orders for all (not necessarily bounded) plurisubharmonic observables, and that all plurisubharmonic functions satisfy the central limit theorem with respect to \mu. Our results hold more generally for every Henon-Sibony map on C-k.File in questo prodotto:
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