3 papers
math.DS2026
Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems
Rou Wen
In this paper, we develop a notion of \emph{strongly positive reccurent} (SPR) property for a convergence group with a continuous Gromov-Patterson-Sullivan (GPS) system defined by…
math.CV2026
Rigidity of proper holomorphic maps between balls with Hölder boundary regularity
Kyle Huang, Jinwoo Park, Aleksander Skenderi +3
In this paper, we prove a rigidity result for proper holomorphic maps between unit balls that have many symmetries and which extend to Hölder continuous maps on the boundary, with…
math.DG2025
Sublinearly Morseness in Higher Rank Symmetric Spaces
Rou Wen
The goal of this paper is to develop a theory of "sublinearly Morse boundary" and prove a corresponding sublinearly Morse lemma in higher rank symmetric space of non-compact type.…