Results 11 to 20 of about 7,332 (118)
Quantifying the Single-Cell Morphological Landscape of Cellular Transdifferentiation through Force Field Reconstruction. [PDF]
Adv Sci (Weinh)This study reconstructs the driving force field of fibroblast‐to‐neuron transdifferentiation from sparse single‐cell images by decomposing it into flux and time‐dependent potential gradient, extending the landscape‐flux framework to non‐steady‐state systems.
Yu C, Liu C, Wang E, Wang J.
europepmc +2 more sources
Dendrograms of electroencephalograms and their characterization based on metrics [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаDendrograms obtained from electroencephalograms are studied as maximal prefix codes. A dendrogram defines a distribution on the space of 2-adic integers and represents a partition, up to the set of zero Haar measure, into balls of nonzero radii.
Tyapaev, Livat Borisovich +1 more
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Locally rich compact sets [PDF]
, 2015 We construct a compact metric space that has any other compact metric space as a tangent, with respect to the Gromov-Hausdorff distance, at all points. Furthermore, we give examples of compact sets in the Euclidean unit cube, that have almost any other ...
Chen, Changhao, Rossi, Eino
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Volume Comparison in the presence of a Gromov-Hausdorff ε−approximation II
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 Let (M, g) be any compact, connected, Riemannian manifold of dimension n. We use a transport of measures and the barycentre to construct a map from (M, g) onto a Hyperbolic manifold (ℍn/Λ, g0) (Λ is a torsionless subgroup of Isom(ℍn,g0)), in such a way ...
Sabatini Luca
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Noncommutative Solenoids and the Gromov-Hausdorff Propinquity [PDF]
, 2017 We prove that noncommutative solenoids are limits, in the sense of the Gromov-Hausdorff propinquity, of quantum tori. From this observation, we prove that noncommutative solenoids can be approximated by finite dimensional quantum compact metric spaces ...
Latremoliere, Frederic, Packer, Judith
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A quantitative obstruction to collapsing surfaces
Open Mathematics, 2019 We provide a quantitative obstruction to collapsing surfaces of genus at least 2 under a lower curvature bound and an upper diameter bound.
Katz Mikhail G.
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A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
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ANALYSIS OF FRESCHET AND HAUSDORF METRICS AND THEIR MODIFICATIONS FOR IMAGE COMPARISON
Компютерні системи та інформаційні технологіїThis paper provides a comprehensive analysis of classical and modern metric approaches used for quantitative evaluation of image similarity, including the Fréchet and Hausdorff distances as well as their modifications – the Gromov-Fréchet and Gromov ...
Микола БЕРЕЗЬКИЙ
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The Quantum Gromov-Hausdorff Propinquity [PDF]
, 2013 We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric spaces, which extends the Gromov-Hausdorff distance to noncommutative geometry and strengthens Rieffel's quantum Gromov-Hausdorff distance and Rieffel's ...
Latremoliere, Frederic
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Towards the boundary of the fine curve graph
Journal of Topology, Volume 19, Issue 2, June 2026.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