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Sublinearly Morseness in Higher Rank Symmetric Spaces

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arxiv 2504.12448 v2 pith:NBZBYHF3 submitted 2025-04-16 math.DG math.DSmath.GR

Rou Wen This is my paper · ORCID
classification math.DGmath.DSmath.GR
keywords sublinearlymorsehigherranksymmetrictheoryboundarycontext
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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. This is motivated by the work of Kapovich-Leeb-Porti and the theory of sublinearly Morse quasi-geodesics developed in the context of CAT(0) geometry.

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  1. Sublinear Morse Geodesics and First Passage Percolation

    math.GT 2025-07 conditional novelty 6.0 of 10

    If an infinite bounded-degree graph has a sublinearly Morse bi-infinite quasi-geodesic, then first passage percolation almost surely has a bi-infinite geodesic.

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