Results 21 to 30 of about 39,096 (194)
A non-archimedean Montel's theorem [PDF]
, 2011 We prove a version of Montel's theorem for analytic functions over a non-archimedean complete valued field. We propose a definition of normal family in this context, and give applications of our results to the dynamics of non-archimedean entire functions.
Berkovich +5 more
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Non-Archimedean volumes of metrized nef line bundles [PDF]
Épijournal de Géométrie Algébrique, 2021 Let $L$ be a line bundle on a proper, geometrically reduced scheme $X$ over a non-trivially valued non-Archimedean field $K$. Roughly speaking, the non-Archimedean volume of a continuous metric on the Berkovich analytification of $L$ measures the ...
Sébastien Boucksom +2 more
doaj +1 more source
Mathematics, 2021 In this paper, we use direct and fixed-point techniques to examine the generalised Ulam–Hyers stability results of the general Euler–Lagrange quadratic mapping in non-Archimedean IFN spaces (briefly, non-Archimedean Intuitionistic Fuzzy Normed spaces ...
Kandhasamy Tamilvanan +3 more
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Bochner integrals in ordered vector spaces [PDF]
, 2016 We present a natural way to cover an Archimedean directed ordered vector space $E$ by Banach spaces and extend the notion of Bochner integrability to functions with values in $E$.
van Rooij, Arnoud, van Zuijlen, Willem
core +3 more sources
Nanotechnology and Precision Engineering, 2018 We demonstrate a distributed two-dimensional (2D) strain-sensing system in optical frequency domain reflectometry (OFDR) with an Archimedean spiral arrangement of the sensing fiber.
Yamei Guo +5 more
doaj +1 more source
Condition pseudospectrum in non-Archimedean Banach spaces [PDF]
Journal of Mahani Mathematical ResearchIn this article, we introduce and study the condition pseudospectrum of bounded linear operator pencils on non-Archimedean Banach spaces. We obtain a characterization of the condition pseudospectrum of bounded linear operator pencils on non-Archimedean ...
Jawad Ettayb
doaj +1 more source
Archimedean Residuated Lattices
Annals of the Alexandru Ioan Cuza University - Mathematics, 2010 Summary: For a residuated lattice \(A\) we denote by \(D_s(A)\) the lattice of all deductive systems (congruence filters) of \(A\). The aim of this paper is to put in evidence new characterizations for maximal and prime elements of \(D_s(A)\) and to characterize Archimedean and hyperarchimedean residuated lattices; so we prove some theorems of Nachbin ...
Buşneag, Dumitru +2 more
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Non-Archimedean Welch Bounds and Non-Archimedean Zauner Conjecture
SSRN Electronic Journal, 2022 Let $\mathbb{K}$ be a non-Archimedean (complete) valued field satisfying \begin{align*} \left|\sum_{j=1}^{n}\lambda_j^2\right|=\max_{1\leq j \leq n}|\lambda_j|^2, \quad \forall \lambda_j \in \mathbb{K}, 1\leq j \leq n, \forall n \in \mathbb{N}. \end{align*} For $d\in \mathbb{N}$, let $\mathbb{K}^d$ be the standard $d$-dimensional non-Archimedean ...
openaire +2 more sources
Survey on the geometric Bogomolov conjecture [PDF]
, 2017 This is a survey paper of the developments on the geometric Bogomolov conjecture. We explain the recent results by the author as well as previous works concerning the conjecture. This paper also includes an introduction to the height theory over function
Yamaki, Kazuhiko
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Estimation of Tail Value at Risk for Bivariate Portfolio using Gumbel Copula
JTAM (Jurnal Teori dan Aplikasi Matematika)Investing in the stock market involves complex risks, especially under extreme and unpredictable conditions. While Value at Risk (VaR) is a widely used risk measure, it has limitations in capturing tail-end risks.
Fransiska Fransiska +2 more
doaj +1 more source