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P-Adic Numbers Ultrametric Analysis and Applications最新文献

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Constructions of Urysohn Universal Ultrametric Spaces 乌里索恩通用超对称空间的构造
IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-12-01 DOI: 10.1134/s2070046623040027

Abstract

In this paper, we give new constructions of Urysohn universal ultrametric spaces. We first characterize a Urysohn universal ultrametric subspace of the space of all continuous functions whose images contain the zero, from a zero-dimensional compact Hausdorff space without isolated points into the space of non-negative real numbers equipped with the nearly discrete topology. As a consequence, the whole function space is Urysohn universal, which can be considered as a non-Archimedean analog of Banach-Mazur theorem. As a more application, we prove that the space of all continuous pseudo-ultrametrics on a zero-dimensional compact Hausdorff space with an accumulation point is a Urysohn universal ultrametric space. This result can be considered as a variant of Wan’s construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric space.

摘要 本文给出了新的 Urysohn 通用超对称空间的构造。我们首先描述了所有图像包含零点的连续函数空间的一个 Urysohn 通用超计量子空间，它从一个零维紧凑的无孤立点的 Hausdorff 空间进入到配备近乎离散拓扑的非负实数空间。因此，整个函数空间是 Urysohn 通用的，这可以视为 Banach-Mazur 定理的非阿基米德类似定理。作为更多的应用，我们证明了零维紧凑豪斯多夫空间上所有连续伪超对称空间都是一个乌里索恩普适超对称空间。这一结果可以看作是 Wan 通过 Gromov-Hausdorff 超对称空间构造 Urysohn 通用超对称空间的一个变体。
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引用次数: 0
Number-Theory Renormalization of Vacuum Energy 真空能量的数论重正化
IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-12-01 DOI: 10.1134/s2070046623040039

Abstract

For QFT on a lattice of dimension (dgeqslant 3) , the vacuum energy (both bosonic and fermionic) is zero if the Hamiltonian is a function of the square of the momentum, and the calculation of the vacuum energy is performed in the ring of residue classes modulo (N) . This fact is related to a problem from number theory about the number of ways to represent a number as a sum of (d) squares in the ring of residue classes modulo (N) .

摘要 对于维数为 (dgeqslant 3) 的晶格上的 QFT，如果哈密顿是动量平方的函数，那么真空能（玻色和费米子）为零，并且真空能的计算是在（N）模的残差类环中进行的。这一事实与数论中的一个问题有关，即在模（N）的残差类环中将一个数表示为（d）平方和的方法有多少种。
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引用次数: 0
On the Occasion of the Centenary of the Birth of V. S. Vladimirov (1923–2012) v·s·弗拉基米罗夫诞辰一百周年纪念(1923-2012)
Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-09-01 DOI: 10.1134/s2070046623030056
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich
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引用次数: 0
Modular Nori Motives 模块化紫菜动机
Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-09-01 DOI: 10.1134/s2070046623030020
N. C. Combe, Yu. I Manin, M. Marcolli
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引用次数: 0
Oscillations in $$p$$-Adic Diffusion Processes and Simulation of the Conformational Dynamics of Protein $$p$$ -Adic扩散过程中的振荡和蛋白质构象动力学的模拟
Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-09-01 DOI: 10.1134/s2070046623030019
A. Kh. Bikulov, A. P. Zubarev
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引用次数: 0
Coherent States of the $$p$$-Adic Heisenberg Group and Entropic Uncertainty Relations $$p$$ -Adic海森堡群的相干态与熵不确定性关系
Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-09-01 DOI: 10.1134/s2070046623030032
Evgeny Zelenov
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引用次数: 0
Analysis on Ultra-Metric Spaces via Heat Kernels 基于热核的超度量空间分析
Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-09-01 DOI: 10.1134/s2070046623030044
Alexander Grigor’yan
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引用次数: 0
$$p$$-Adic Weaving Multiframelets $$p$$-多帧织入
Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-06-01 DOI: 10.1134/s2070046623020036
Animesh Bhandari, Sudip Mishra, Subenoy Chakraborty
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引用次数: 0
Soft Logic as an Extension of Pascal’s Work 软逻辑作为帕斯卡工作的延伸
IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-06-01 DOI: 10.1134/S207004662302005X
Moshe Klein, O. Maimon
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引用次数: 0
documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$2$$end{document}-Adic 1-Lipschitz Maps-Based Nonlinear Pseudorandom G documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$2$$end{document}-Adic 1-Lipschitz Maps-Based Nonlinear Pseudorandom G
IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
P-Adic Numbers Ultrametric Analysis and Applications
Pub Date : 2023-06-01 DOI: 10.1134/S2070046623020012
Alexander Sidorov
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引用次数: 0
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