Results 71 to 80 of about 1,086,676 (318)
Completions, branched covers, Artin groups and singularity theory
, 2011 We study the curvature of metric spaces and branched covers of Riemannian manifolds, with applications in topology and algebraic geometry. Here curvature bounds are expressed in terms of the CAT(k) inequality. We prove a general CAT(k) extension theorem,
Allcock, Daniel
core +1 more source
Fixed points for actions of Aut(Fn) on CAT(0) spaces [PDF]
, 2015 For n greater or equal 4 we discuss questions concerning global fixed points for isometric actions of Aut(Fn), the automorphism group of a free group of rank n, on complete CAT(0) spaces.
Varghese, Olga
core +1 more source
Molecular Oncology, EarlyView.The authors analyzed the spatial distributions of gene and metabolite profiles in cervical cancer through spatial transcriptomic and spatially resolved metabolomic techniques. Pivotal genes and metabolites within these cases were then identified and validated.
Lixiu Xu +3 more
wiley +1 more source
The combinatorics of CAT(0) cubical complexes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Given a reconfigurable system $X$, such as a robot moving on a grid or a set of particles traversing a graph without colliding, the possible positions of $X$ naturally form a cubical complex $\mathcal{S}(X)$.
Federico Ardila, Tia Baker, Rika Yatchak
doaj +1 more source
Flat strips, Bowen-Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces [PDF]
, 2017 Let $X$ be a proper, geodesically complete CAT(0) space under a proper, non-elementary, isometric action by a group $\Gamma$ with a rank one element. We construct a generalized Bowen-Margulis measure on the space of unit-speed parametrized geodesics of ...
Ricks, Russell
core +1 more source
A differential complex for CAT(0) cubical spaces
Advances in Mathematics, 2019 In the 1980's Pierre Julg and Alain Valette, and also Tadeusz Pytlik and Ryszard Szwarc, constructed and studied a certain Fredholm operator associated to a simplicial tree. The operator can be defined in at least two ways: from a combinatorial flow on the tree, similar to the flows in Forman's discrete Morse theory, or from the theory of unitary ...
Brodzki, Jacek +2 more
openaire +4 more sources
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose This study quantitatively evaluates bladder changes and their dosimetric impact during the on‐couch adaptive process on a commercial CBCT‐based online adaptive radiotherapy (CT‐gART) platform. Methods Data from 183 fractions of ten patients receiving online ART for pelvic cancers were analyzed retrospectively.
Ingrid Valencia Lozano +7 more
wiley +1 more source
Weak topologies for unbounded nets in CAT($0$) spaces [PDF]
arXiv, 2022 Weak topologies that yield weak convergence for bounded sequences and nets in CAT($0$) spaces have been studied in the past. We are here concerned with weak topologies that yield weak convergence of unbounded sequences and nets. We analyze two such topologies that generalize the weak topology on Hilbert spaces and that agree with the strong topology on
arxiv
Cortical Excitability Before and After Long‐Term Perampanel Treatment for Epilepsy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Antiseizure medications (ASMs), which may influence cortical excitability, are the mainstay of epilepsy treatment. Transcranial magnetic stimulation (TMS) helps evaluate cortical excitability. We assessed changes in TMS responses using serial TMS measurements in people treated with an adjunctive noncompetitive AMPA‐receptor ...
Robert M. Helling +6 more
wiley +1 more source
ComputationThe aim of this paper is twofold: introducing the concept of monotone enriched nonexpansive mappings and a faster iterative process. Our examples illustrate the novelty of our newly introduced concepts.
Safeer Hussain Khan +2 more
doaj +1 more source