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
Topological data analysis visualization for interpretable assessment of AI contouring quality. [PDF]
Choi CMS +3 more
europepmc +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
On manifolds with almost non-negative Ricci curvature and integrally-positive k th -scalar curvature. [PDF]
Cucinotta A, Mondino A.
europepmc +1 more source
Hausdorff Distance and the Completion of Probabilistic Metric Spaces
Probabilistic metric spaces are characterized as those spaces in which a suitable family of continuoujs functions has at least a fixed point. Hausdorff metrics are then used to costruct the completion of an arbitray probabilistic metric space with a ...
SEMPI, Carlo
core
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
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
Some Results on Hausdorff Metric for Intuitionistic Fuzzy Sets
International Conference On Mathematics And Mathematics Educatİon ICME-2018, (27-28 June 2018: Ordu,Turkey)Fuzzy set theory was frstly introduced by L. A. Zadeh in 1965 [1]. In fuzzy sets, every element in the set is accompanied with a function μ(x): X →
Akın, Ömer, Bayeğ, Selami
core
Automated Global Positioning Layout (GPL) for accuracy assessment in CAD-CAM mandibular reconstruction - Method validation. [PDF]
Vargiu E +8 more
europepmc +1 more source
Evaluation of efficacy in prostate cancer contouring for MR-guided radiotherapy using structured contouring training modules. [PDF]
Fang B +9 more
europepmc +1 more source

