10 citations · 29 across the 15 of their papers we have counts for
15 papers
Sublinear biLipschitz equivalence and sublinearly Morse boundaries
Gabriel Pallier, Yulan Qing
A sublinear biLipschitz equivalence (SBE) between metric spaces is a map from one space to another that distorts distances with bounded multiplicative constants and sublinear addit…
Genericity of sublinearly Morse directions in CAT(0) spaces and the Teichmüller space
Ilya Gekhtman, Yulan Qing, Kasra Rafi
We show that the sublinearly Morse directions in the visual boundary of a rank-1 CAT(0) space with a geometric group action are generic in several commonly studied senses of the wo…
Sublinearly Morse Boundary of CAT(0) admissible groups
Hoang Thanh Nguyen, Yulan Qing
We show that if G is an admissible group acting geometrically on a CAT(0) space X, then G is a hierarchically hyperbolic space and with mild assumptions the sublinearly-Morse bound…
Sublinearly Morse Boundary II: Proper geodesic spaces
Yulan Qing, Kasra Rafi, Giulio Tiozzo
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 a…
Sublinearly Morse Geodesics in CAT(0) Spaces: Lower Divergence and Hyperplane Characterization
Devin Murray, Yulan Qing, Abdul Zalloum
We introduce the notion of k-lower divergence for geodesic rays in CAT(0) spaces. Building on the work of Charney and Sultan we give various characterizations of k-contracting geod…
Big mapping class groups with hyperbolic actions: classification and applications
Camille Horbez, Yulan Qing, Kasra Rafi
We address the question of determining which mapping class groups of infinite-type surfaces admit nonelementary continuous actions on hyperbolic spaces. More precisely, let be…
Geometry and dynamics on sublinearly Morse boundaries of CAT(0) groups
Yulan Qing, Abdul Zalloum
Given a sublinear function , -Morse boundaries $\pka X$ of proper \CAT spaces are introduced by Qing, Rafi and Tiozzo. It is a topological space that consists of a large set…
Geometry of right-angled Coxeter groups on the Croke-Kleiner spaces
Yulan Qing
In this paper we study the right-angled Coxeter groups that acts geometrically on the Salvetti complex of a certain right-angled Artin group, which we refer to as Croke-Kleiner spa…
Sublinearly Morse Boundary I: CAT(0) Spaces
Yulan Qing, Kasra Rafi, Giulio Tiozzo
To every Gromov hyperbolic space X one can associate a space at infinity called the Gromov boundary of X. Gromov showed that quasi-isometries of hyperbolic metric spaces induce hom…
Dilatation of outer automorphisms of Right-angled Artin Groups
Corey Bregman, Yulan Qing
We study the dilatation of outer automorphisms of right-angled Artin groups. Given a right-angled Artin group defined on a simplicial graph: and an a…
Excursions of generic geodesics in right-angled Artin groups and graph products
Yulan Qing, Giulio Tiozzo
Motivated by the notion of cusp excursion in geometrically finite hyperbolic manifolds, we define a notion of excursion in any subgroup of a given group, and study its asymptotic d…
Quasi-geodesics in Out(F_n) and their shadows in sub-factors
Yulan Qing, Kasra Rafi
We study the behaviour of quasi-geodesics in Out(F_n). Given an element f in Out(F_n) there are several natural paths connecting the origin to f in Out(F_n); for example, paths ass…
Convexity of balls in the outer space
Yulan Qing, Kasra Rafi
In this paper we study the convexity properties of geodesics and balls in Outer space equipped with the Lipschitz metric. We introduce a class of geodesics called balanced folding…
Uniform fellow traveling between surgery paths in the sphere graph
Matt Clay, Yulan Qing, Kasra Rafi
We show that the Hausdorff distance between any forward and any backward surgery paths in the sphere graph is at most 2. From this it follows that the Hausdorff distance between an…
Actions of Right-Angled Coxeter Groups on the Croke Kleiner Spaces
Yulan Qing
It is an open question whether right-angled Coxeter groups have unique group-equivariant visual boundaries. Croke and Kleiner present a right-angled Artin group with more than one…