Classifying Hyperbolic Ergodic Stationary Measures on Compact Complex Surfaces with Large Automorphism Groups
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913563375828992 |
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| author | Roda, Megan |
| author_facet | Roda, Megan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classifying Hyperbolic Ergodic Stationary Measures on Compact Complex Surfaces with Large Automorphism Groups Roda, Megan Dynamical Systems Algebraic Geometry Complex Variables 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. |
| title | Classifying Hyperbolic Ergodic Stationary Measures on Compact Complex Surfaces with Large Automorphism Groups |
| topic | Dynamical Systems Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2410.18350 |