Random walks and contracting elements I: Deviation inequality and limit laws
I Choi - arXiv preprint arXiv:2207.06597, 2022 - arxiv.org
We study random walks on metric spaces with contracting isometries. In this first article of the
series, we establish sharp deviation inequalities by adapting Gou\" ezel's pivotal time …
series, we establish sharp deviation inequalities by adapting Gou\" ezel's pivotal time …
Genericity of sublinearly Morse directions in general metric spaces
arXiv:2404.18762v1 [math.GR] 29 Apr 2024 Page 1 arXiv:2404.18762v1 [math.GR] 29 Apr
2024 GENERICITY OF SUBLINEARLY MORSE DIRECTIONS IN GENERAL METRIC SPACES …
2024 GENERICITY OF SUBLINEARLY MORSE DIRECTIONS IN GENERAL METRIC SPACES …
Confined subgroups in groups with contracting elements
In this paper, we study the growth of confined subgroups through boundary actions of
groups with contracting elements. We establish that the growth rate of a confined subgroup …
groups with contracting elements. We establish that the growth rate of a confined subgroup …
Conformal dynamics at infinity for groups with contracting elements
W Yang - arXiv preprint arXiv:2208.04861, 2022 - arxiv.org
This paper develops a theory of conformal density at infinity for groups with contracting
elements. We start by introducing a class of convergence boundary encompassing many …
elements. We start by introducing a class of convergence boundary encompassing many …
Marches al\'eatoires et\'el\'ements contractants sur des espaces CAT (0)
CL Bars - arXiv preprint arXiv:2310.18710, 2023 - arxiv.org
Dans cette thèse, on étudie des marches aléatoires induites par des actions de groupes
probabilisés sur des espaces de courbure négative ou nulle. On décrit en particulier le cas …
probabilisés sur des espaces de courbure négative ou nulle. On décrit en particulier le cas …
Curtain Characterization of Sublinearly Morse Geodesics in CAT (0) Spaces
E Vest - arXiv preprint arXiv:2309.02725, 2023 - arxiv.org
We show that the sublinear Morse boundary of every CAT (0) space continuously injects into
the Gromov boundary of a hyperbolic space, which was not previously known even for all …
the Gromov boundary of a hyperbolic space, which was not previously known even for all …
The Curtain Model of CAT (0) Spaces and its Relationship to the Sublinearly Morse Boundary
ES Vest - 2024 - search.proquest.com
We show that the sublinear Morse boundary of every CAT (0) space continuously injects into
the Gromov boundary of a hyperbolic space, which was not previously known even for all …
the Gromov boundary of a hyperbolic space, which was not previously known even for all …
Sublinearly Morse boundary, II: Proper geodesic spaces
We build an analogue of the Gromov boundary for any proper geodesic metric space, hence
for any finitely generated group. More precisely, for any proper geodesic metric space X and …
for any finitely generated group. More precisely, for any proper geodesic metric space X and …
Geometry and dynamics on sublinearly Morse boundaries of cat (0) groups
Given a sublinear function κ, κ-Morse boundaries∂ κ X of proper CAT(0) spaces are
introduced by Qing, Rafi and Tiozzo (2024). It is a topological space that consists of a …
introduced by Qing, Rafi and Tiozzo (2024). It is a topological space that consists of a …
[PDF][PDF] QUASI-REDIRECTING BOUNDARIES OF NON-POSITIVELY CURVED GROUPS
In this paper, we show that the quasi-redirecting boundary (QR boundary) is well-defined as
a topological space for several classes of groups with nonpositive curvature: admissible …
a topological space for several classes of groups with nonpositive curvature: admissible …