An extended definition of Anosov representation for relatively hyperbolic groups
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Towards the boundary of the fine curve graph
Abstract The fine curve graph was introduced as a geometric tool to study homeomorphisms of surfaces. In this paper, we study the Gromov boundary of this space and the local topology near points associated with certain foliations and laminations. We then give several applications including finding dynamically explicit elements with positive stable ...
Jonathan Bowden +2 more
wiley +1 more source
Validation of parametric mesh generation for subject-specific cerebroarterial trees using modified Hausdorff distance metrics. [PDF]
Ghaffari M +6 more
europepmc +1 more source
The quasi‐redirecting boundary
Abstract We generalize the notion of Gromov boundary to a larger class of metric spaces beyond Gromov hyperbolic spaces. Points in this boundary are classes of quasi‐geodesic rays and the space is equipped with a topology that is naturally invariant under quasi‐isometries.
Yulan Qing, Kasra Rafi
wiley +1 more source
Method for accessing zygomatic-maxillary complex symmetry: Mirroring, transposing, and calculating Hausdorff distance. [PDF]
Wang TH +4 more
europepmc +1 more source
A Hölder-type inequality for the Hausdorff distance between Lagrangians. [PDF]
Chassé JP, Leclercq R.
europepmc +1 more source
Comparison of virtual treatment planning outcomes designed by two commercially available software in treatment of anterior teeth crowding using in-house aligners. [PDF]
Khadre AA, Hakami Z, Aldrees AM.
europepmc +1 more source
Benchmarking sketching methods on spatial transcriptomics data. [PDF]
Gingerich IK, Goods BA, Frost HR.
europepmc +1 more source
PSMC-FAC: Automated Optimization of False-Negative Rate Corrections for Low-Coverage PSMC-Based Demographic Inference. [PDF]
Iglesias-Santos F +4 more
europepmc +1 more source

