Genericity of sublinearly Morse directions in general metric spaces

2024/04/29 by Yulan Qing, Qing, Yulan, Wenyuan Yang +1 · 1 citation
Engineering · Mathematics · #20F65 #20F67 #Advanced Numerical Analysis Techniques #Advanced Topology and Set Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2404.18762

openalex publication_date 2024/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that for a proper statistically convex-cocompact action on a proper geodesic metric space, the sublinearly Morse boundary has full Patterson-Sullivan measure in the horofunction boundary.

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