Results 71 to 80 of about 620,022 (302)
Metrics on visual boundaries of CAT(0) spaces [PDF]
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.
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Microbial exopolysaccharide production by polyextremophiles in the adaptation to multiple extremes
Polyextremophiles are microorganisms that endure multiple extreme conditions by various adaptation strategies that also include the production of exopolysaccharides (EPSs). This review provides an integrated perspective on EPS biosynthesis, function, and regulation in these organisms, emphasizing their critical role in survival and highlighting their ...
Tracey M Gloster, Ebru Toksoy Öner
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The 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
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A Novel Iterative Algorithm Applied to Totally Asymptotically Nonexpansive Mappings in CAT(0) Spaces
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
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Ballmann's Rank Rigidity Conjecture predicts that a CAT(0) space of higher rank with a geometric group action is rigid -- isometric to a Riemannian symmetric space, a Euclidean building, or splits as a direct product. We confirm this conjecture in rank 2.
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Earthing effects on mitochondrial function: ATP production and ROS generation
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
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Geometric density for invariant random subgroups of groups acting on CAT(0) spaces
We prove that an IRS of a group with a geometrically dense action on a CAT(0) space also acts geometrically densely; assuming the space is either of finite telescopic dimension or locally compact with finite dimensional Tits boundary. This can be thought
Duchesne, Bruno+3 more
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Functional parameters of spermatozoa obtained by a new selection device
This study compares density gradient centrifugation and the LensHooke CA0™ device for sperm separation. DGC requires multiple steps, specialized equipment, and technical expertise. In contrast, the CA0 device offers key practical and methodological advantages, resulting in a faster, simpler, and more affordable sperm selection method.
Julio C. Chávez+8 more
wiley +1 more source
Resolvent Flows for Convex Functionals and p-Harmonic Maps
We prove the unique existence of the (non-linear) resolvent associated to a coercive proper lower semicontinuous function satisfying a weak notion of p-uniform λ-convexity on a complete metric space, and establish the existence of the minimizer of such ...
Kuwae Kazuhiro
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Understanding Mechanisms of Whole Brain and Regional Grey Matter Atrophy in Children With MOGAD
ABSTRACT Objective To investigate the mechanisms driving whole brain and regional grey matter (GM) volume changes along with their clinical correlates in paediatric myelin oligodendrocyte glycoprotein antibody (MOG‐Ab)–associated disease (MOGAD). Methods One‐hundred‐nine paediatric MOGAD patients from two UK centres underwent MRI at attack nadir and ...
Ermelinda De Meo+14 more
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