Results 71 to 80 of about 3,792,347 (201)
p-adic numbers encode complex networks
Scientific Reports, 2021 The Erdős-Rényi (ER) random graph G(n, p) analytically characterizes the behaviors in complex networks. However, attempts to fit real-world observations need more sophisticated structures (e.g., multilayer networks), rules (e.g., Achlioptas processes ...
Hao Hua, Ludger Hovestadt
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Lipschitz‐free spaces over uniformly discrete metric spaces are 3‐Schur
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We prove that the Lipschitz‐free space over any uniformly discrete metric space has the 3‐Schur property.
Marek Cúth, Ondřej F. K. Kalenda
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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
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Papers in Palaeontology, Volume 12, Issue 5, September/October 2026.Abstract We describe and discuss two finds of large and untypical belemnite rostra originating from the upper part of the Sundance Formation (Oxfordian) of Wyoming, USA. With a diameter reaching c. 60 mm at the anterior end, these rostra are the thickest known for belemnites so far.
Alexey P. Ippolitov +3 more
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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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Methods in Ecology and Evolution, Volume 17, Issue 9, Page 2629-2644, September 2026.Abstract Macroevolutionary adaptation of a continuous trait to different discrete states across species can be modelled using a phylogenetic state‐dependent Ornstein–Uhlenbeck (OU) process. Existing inference methods face two challenges. First, although efficient likelihood algorithms for continuous trait evolution models exist, none have been ...
Priscilla Lau +4 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
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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
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Ramsey degrees of finite ultrametric spaces, ultrametric Urysohn spaces and dynamics of their isometry groups [PDF]
European Journal of Combinatorics, 2009 We study Ramsey-theoretic properties of several natural classes of finite ultrametric spaces, describe the corresponding Urysohn spaces and compute a dynamical invariant attached to their isometry groups.
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Multi‐Sensor Logger Tracking Reveals the Threats of Offshore Windfarms to Passerine‐Sized Birds
Conservation Letters, Volume 19, Issue 5, September/October 2026.ABSTRACT Offshore wind energy is a cornerstone of the transition to renewable energy, yet its rapid expansion raises concerns for wildlife. These concerns notably involve small migratory birds whose movements across marine barriers and therefore potential interactions with offshore wind turbines remain poorly understood.
Paul Doniol‐Valcroze +16 more
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