Results 61 to 70 of about 611,633 (304)
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
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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
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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
Earthing effects on mitochondrial function: ATP production and ROS generation
FEBS Open Bio, EarlyView.In contrast to sham and naive controls, grounded mitochondria not only exhibit significantly enhanced energy production but also demonstrate a remarkable reduction in membrane potential and oxidative stress. This suggests a profound improvement in mitochondrial health, presenting a promising avenue for therapeutic interventions.
Cecilia Giulivi, Richard Kotz
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
EEG Response to Sedation Interruption Complements Behavioral Assessment After Severe Brain Injury
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Accurate assessment of the level of consciousness and potential to recover in patients with severe brain injury underpins crucial decisions in the intensive care unit but remains a major challenge for the clinical team. The neurological wake‐up test is a widely used assessment tool. However, many patients' behavioral responses during
Charlotte Maschke +12 more
wiley +1 more source
A Novel Iterative Algorithm Applied to Totally Asymptotically Nonexpansive Mappings in CAT(0) Spaces
Mathematics, 2017 In this paper we introduce a new iterative algorithm for approximating fixed points of totally asymptotically quasi-nonexpansive mappings on CAT(0) spaces. We prove a strong convergence theorem under suitable conditions. The result we obtain improves and
Ali Abkar, Mohsen Shekarbaigi
doaj +1 more source
Natural maps between CAT(0) boundaries [PDF]
, 2013 It is shown that certain natural maps between the ideal, Gromov, and end boundaries of a complete CAT(0) space can fail to be either injective or surjective.
Buckley, Stephen M., Falk, Kurt
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Metrics on visual boundaries of CAT(0) spaces [PDF]
Geometriae Dedicata, 2016 A famous open problem asks whether the asymptotic dimension of a CAT(0) group is necessarily finite. For hyperbolic groups, it is known that asymptotic dimension of the group is bounded above by the dimension of the boundary plus one, which is known to be finite.
openaire +3 more sources
Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture
Advanced Engineering Materials, EarlyView.Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee +3 more
wiley +1 more source