Results 51 to 60 of about 1,197 (175)
Metric and ultrametric spaces of resistances
Discrete Applied Mathematics, 2010 In 1987, \textit{A. D. Gvishiani} and \textit{V. A Gurvich} [``Metric and ultrametric spaces of resistances'', Russ. Math. Surv. 42, No. 6, 235--236 (1987); translation from Usp. Mat. Nauk 42, No. 6, 187--188 (1987; Zbl 0708.90028)] briefly reported results that established conditions under which effective resistances in an undirected graph satisfy a ...
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Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space
Pan-American Journal of MathematicsIn this paper, we have established the existence and uniqueness of a common fixed point for occasionally weakly biased mappings of type (A) in an ultrametric space employing an implicit function.
Iqbal H. Jebril +3 more
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Diversity and Distributions, Volume 32, Issue 8, August 2026.ABSTRACT Aim Conservation under the current global biodiversity crisis demands strategic prioritisation to maximise the impact of limited resources. This study aims to integrate evolutionary history, an often‐overlooked component of biodiversity, alongside extinction risk to identify priority species and regions, assessing both the feasibility and ...
J. Alexander Nieto Lawrence +3 more
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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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Rare Caudal Regeneration Anomalies in Geckos Are Associated With Global Solar Radiation Gradients
Journal of Biogeography, Volume 53, Issue 8, August 2026.ABSTRACT Aim Morphological abnormalities may reduce fitness in wild animals, making them ecologically relevant for conservation efforts. Anomalies, such as a bifurcation or a trifurcation of a regenerated gecko tail, can change locomotion, social signalling, and predator evasion, with potential effects on survival and reproductive success.
Lucas Rodriguez Forti +3 more
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Structural Transformations Far Off Equilibrium
Успехи физики металлов, 2002 Within the framework of the methods of statistical physics based on the use of the nonergodic theory and phase space with ultrametric topology, transformations of strong nonequilibrium condensed matter are studied at micro- and macroscopic structural ...
O. I. Olemskoi, A. A. Katsnelson
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Existence of Full Replica Symmetry Breaking for the Sherrington–Kirkpatrick Model at Low Temperature
Communications on Pure and Applied Mathematics, Volume 79, Issue 7, Page 1746-1770, July 2026.ABSTRACT We verify the existence of full replica symmetry breaking (FRSB) for the Sherrington–Kirkpatrick (SK) model and determine the structure of its Parisi measure slightly beyond the high temperature regime. More specifically, we prove that the support of the Parisi measure for the SK model consists of an interval starting at the origin slightly ...
Yuxin Zhou
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Journal of Avian Biology, Volume 2026, Issue 4, July 2026.A long‐standing theory, the abundance‐centre hypothesis (ACH), predicts that species peak in abundance at the centre of their geographic range, where environmental conditions are optimal, and decline towards range limits as conditions deteriorate. Yet, tests of the ACH in birds along elevational gradients have yielded mixed results.
Riccardo Pernice +9 more
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Wavelets on ultrametric spaces
Applied and Computational Harmonic Analysis, 2005 The authors consider ultrametric spaces with a metric \(| xy| \) satisfying the strong triangle inequality \(| ab| \leq\max(| ac| ,| cd| )\) for all \(c\). They construct measures in ultrametric spaces and introduce bases in quadratically integrable (complex valued) function spaces.
Khrennikov, A.Yu., Kozyrev, S.V.
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Notes on exchange interactions in holographic p-adic CFT
Physics Letters B, 2017 There is a renewed interest in conformal field theories (CFT) on ultrametric spaces (p-adic field and its algebraic extensions) in view of their natural adaptability to the holographic setting.
Parikshit Dutta +2 more
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