Results 61 to 70 of about 1,197 (175)
On homogeneous ultrametric spaces
, 2015 A metric space M is homogeneous if every isometry between finite subsets extends to a surjective isometry defined on the whole space. We show that if M is an ultrametric space, it suffices that isometries defined on singletons extend, i.e that the group of isometries of M acts transitively. We derive this fact from a result expressing that the arity of
Delhomme, C. +3 more
openaire +2 more sources
Indivisible ultrametric spaces
Topology and its Applications, 2008 A metric space is indivisible if for any partition of it into finitely many pieces one piece contains an isometric copy of the whole space. Continuing our investigation of indivisible metric spaces, we show that a countable ultrametric space embeds isometrically into an indivisible ultrametric metric space if and only if it does not contain a strictly ...
Delhommé, Christian +3 more
openaire +4 more sources
Molecular Ecology Resources, Volume 26, Issue 5, July 2026.ABSTRACT High‐throughput sequencing (HTS) allows large‐scale DNA barcoding of individually tagged specimens (‘megabarcoding’), but deep amplicon sequencing produces a mixture of authentic mitochondrial sequences together with nuclear pseudogenes (NUMTs), environmental and cross‐sample contaminants, and sequencing artefacts.
Sarawut Ounjai +7 more
wiley +1 more source
Ultrametric Spaces of Branches on Arborescent Singularities [PDF]
, 2018 37 pages, 16 figures. Compared to the first version on Arxiv, il has a new section 4.3, accompanied by 2 new figures.
García Barroso, Evelia +2 more
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On monoids of metric preserving functions
Frontiers in Applied Mathematics and StatisticsLet X be a class of metric spaces and let PX be the set of all f : [0, ∞) → [0, ∞) preserving X, i.e., (Y, f ∘ ρ) ∈ X whenever (Y, ρ) ∈ X. For arbitrary subset A of the set of all metric preserving functions, we show that the equality PX = A has a ...
Viktoriia Bilet +2 more
doaj +1 more source
Replica Fourier Transform: Properties and applications
Nuclear Physics B, 2015 The Replica Fourier Transform is the generalization of the discrete Fourier Transform to quantities defined on an ultrametric tree. It finds use in conjunction of the replica method used to study thermodynamics properties of disordered systems such as ...
A. Crisanti, C. De Dominicis
doaj +1 more source
The Effects of Land‐Use Dynamics on Avian Phylogenetic Diversity Across Island Ecosystems
Journal of Biogeography, Volume 53, Issue 7, July 2026.ABSTRACT Aim To test whether forest extent and recent forest‐cover change are associated with avian phylogenetic diversity and community‐level evolutionary value across islands. Location Seven islands spanning Borneo and Wallacea in the Malay Archipelago. Taxon Terrestrial birds. Methods We sampled 1410 sites (2010–2022).
Halvina G. Saiya +10 more
wiley +1 more source
Mal'tsev objects, R_1-spaces and ultrametric spaces
Theory and Applications of Categories, 2017 In this paper we introduce a notion of Mal'tsev object, and the dual notion of co-Mal'tsev object, in a general category. In particular, a category $\mathbb{C}$ is a Mal'tsev category if and only if every object in $\mathbb{C}$ is a Mal'tsev object.
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Non-local non-linear sigma models
Journal of High Energy Physics, 2019 We study non-local non-linear sigma models in arbitrary dimension, focusing on the scale invariant limit in which the scalar fields naturally have scaling dimension zero, so that the free propagator is logarithmic.
Steven S. Gubser +4 more
doaj +1 more source
Journal of Biogeography, Volume 53, Issue 7, July 2026.ABSTRACT Aim Evaluate the relative contributions of palaeotemperature, palaeogeographic reconfiguration, and habitat heterogeneity to the diversification and biogeographic history of turtles (Order Testudines) from the Triassic to the present. Location and Time Period Global; Triassic–Recent.
Zhongning Zhao +5 more
wiley +1 more source