p-Adic mathematical physics: the first 30 years
Abstract p-Adic mathematical physics is a branch of modern mathematical physics based on
the application of p-adic mathematical methods in modeling physical and related …
the application of p-adic mathematical methods in modeling physical and related …
[图书][B] Pseudodifferential equations over non-Archimedean spaces
WA Zúñiga-Galindo - 2016 - Springer
In recent years, p-adic analysis (or more generally non-Archimedean analysis) has received
a lot of attention due to its connections with mathematical physics; see, eg,[8–14, 20, 21, 25 …
a lot of attention due to its connections with mathematical physics; see, eg,[8–14, 20, 21, 25 …
p-Adic statistical field theory and convolutional deep Boltzmann machines
WA Zúñiga-Galindo, C He… - Progress of Theoretical …, 2023 - academic.oup.com
Understanding how deep learning architectures work is a central scientific problem.
Recently, a correspondence between neural networks (NNs) and Euclidean quantum field …
Recently, a correspondence between neural networks (NNs) and Euclidean quantum field …
Acausal quantum theory for non-Archimedean scalar fields
ML Mendoza-Martínez, JA Vallejo… - Reviews in …, 2019 - World Scientific
We construct a family of quantum scalar fields over ap-adic spacetime which satisfy p-adic
analogues of the Gårding–Wightman axioms. Most of the axioms can be formulated in the …
analogues of the Gårding–Wightman axioms. Most of the axioms can be formulated in the …
Fuglede's conjecture holds in
A Fan, S Fan, L Liao, R Shi - Mathematische Annalen, 2019 - Springer
Fuglede’s conjecture holds in $$\mathbb {Q}_{p}$$ | SpringerLink Skip to main content
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[HTML][HTML] p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field
H García-Compeán, EY López, WA Zúñiga-Galindo - Nuclear Physics B, 2020 - Elsevier
We establish rigorously the regularization of the p-adic open string amplitudes, with Chan-
Paton rules and a constant B-field, introduced by Ghoshal and Kawano. In this study we use …
Paton rules and a constant B-field, introduced by Ghoshal and Kawano. In this study we use …
Modeling fluid's dynamics with master equations in ultrametric spaces representing the treelike structure of capillary networks
A Khrennikov, K Oleschko, MJ Correa Lopez - Entropy, 2016 - mdpi.com
We present a new conceptual approach for modeling of fluid flows in random porous media
based on explicit exploration of the treelike geometry of complex capillary networks. Such …
based on explicit exploration of the treelike geometry of complex capillary networks. Such …
Step refinable functions and orthogonal MRA on Vilenkin groups
SF Lukomskii - Journal of Fourier Analysis and Applications, 2014 - Springer
We find necessary and sufficient conditions on refinable step function under which this
function generates an orthogonal MRA in the L_2(G)-spaces on Vilenkin group G. We …
function generates an orthogonal MRA in the L_2(G)-spaces on Vilenkin group G. We …
Some further classes of pseudo-differential operators in the p-adic context and their applications
A Torresblanca-Badillo… - Journal of Pseudo …, 2023 - Springer
The purpose of this article is to study new non-Archimedean pseudo-differential operators
whose symbols are determined from the behavior of two functions defined on the p-adic …
whose symbols are determined from the behavior of two functions defined on the p-adic …
Construction of nonuniform wavelet frames on non-Archimedean fields
A constructive algorithm based on the theory of spectral pairs for constructing nonuniform
wavelet basis in L 2 (ℝ) L^2(\mathbbR) was considered by Gabardo and Nashed (J Funct …
wavelet basis in L 2 (ℝ) L^2(\mathbbR) was considered by Gabardo and Nashed (J Funct …