Classifying Hyperbolic Ergodic Stationary Measures on Compact Complex Surfaces with Large Automorphism Groups
Year: 2024
Type: preprint
Abstract: Let $X$ be a compact complex surface. Consider a finitely supported probability measure $μ$ on $\text{Aut}(X)$ such that $Γ_μ = \langle \text{Supp}(μ)\rangle<\text{Aut}(X)$ is non-elementary. We do not assume that $Γ_μ$ contains any parabolic elements. In this paper, we study and classify hyperbolic, ergodic $μ$-stationary probability measures.
Source: arXiv (Cornell University)
Author: Roda, Megan
Institution: University of Chicago
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404310920