Results 11 to 20 of about 7,382 (157)
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
The continuous limit of large random planar maps [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We discuss scaling limits of random planar maps chosen uniformly over the set of all $2p$-angulations with $n$ faces. This leads to a limiting space called the Brownian map, which is viewed as a random compact metric space.
Jean-François Le Gall
doaj +1 more source
Chordal Hausdorff Convergence and Quasihyperbolic Distance
Analysis and Geometry in Metric Spaces, 2020 We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A. +2 more
doaj +1 more source
FPT-Algorithms for Computing Gromov-Hausdorff and Interleaving Distances Between Trees [PDF]
, 2019 The Gromov-Hausdorff distance is a natural way to measure the distortion between two metric spaces. However, there has been only limited algorithmic development to compute or approximate this distance.
Farahbakhsh Touli, Elena, Wang, Yusu
core +2 more sources
Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces [PDF]
, 2015 We introduce the notion of the Gromov–Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented.
Macario, Sergio, Sanchis López, Manuel
core +1 more source
The Dual Gromov-Hausdorff Propinquity [PDF]
, 2014 Motivated by the quest for an analogue of the Gromov-Hausdorff distance in noncommutative geometry which is well-behaved with respect to C*-algebraic structures, we propose a complete metric on the class of Leibniz quantum compact metric spaces, named ...
Alfsen +45 more
core +3 more sources
On $$p$$-Metric Spaces and the $$p$$-Gromov-Hausdorff Distance
p-Adic Numbers, Ultrametric Analysis and Applications, 2022 The previous version of this paper is split into two papers: (1) the computational part of the previous version was expanded and written as a new paper which can be found at arXiv:2110.03136; (2) the current version of this paper contains the theoretical part of the previous ...
Mémoli, Facundo, Wan, Zhengchao
openaire +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
doaj +1 more source
Vector Bundles and Gromov–Hausdorff Distance [PDF]
Journal of K-Theory, 2009 AbstractWe show how to make precise the vague idea that for compact metric spaces that are close together for Gromov–Hausdorff distance, suitable vector bundles on one metric space will have counterpart vector bundles on the other. Our approach employs the Lipschitz constants of projection-valued functions that determine vector bundles. We develop some
openaire +2 more sources
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
core +1 more source