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Ultrametric Pseudodifferential Equations and Applications

1, 2018

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Advances in Non-Archimedean Analysis and Applications: The P-Adic Methodology in STEAM-H

1st ed. 2021., 2021

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On p-adic string amplitudes in the limit p approaches to one

The journal of high energy physics, 2018-08, Vol.2018 (8), p.1-23, Article 43

2018

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Hierarchical Wilson-Cowan Models and Connection Matrices

Entropy (Basel, Switzerland), 2023-06, Vol.25 (6), p.949

2023

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Non-Archimedean White Noise, Pseudodifferential Stochastic Equations, and Massive Euclidean Fields

The Journal of fourier analysis and applications, 2017-04, Vol.23 (2), p.288-323

Zúñiga-Galindo, W. A.

2017

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Non-Archimedean quantum mechanics via quantum groups

Nuclear physics. B, 2022-12, Vol.985, p.116021, Article 116021

Zúñiga-Galindo, W.A.

2022

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Meromorphic continuation of Koba-Nielsen string amplitudes

The journal of high energy physics, 2020-09, Vol.2020 (9), p.1-44, Article 138

2020

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p-adic Cellular Neural Networks

Journal of nonlinear mathematical physics, 2023-03, Vol.30 (1), p.34-70

2023

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Non-Archimedean replicator dynamics and Eigen's paradox

Journal of physics. A, Mathematical and theoretical, 2018-12, Vol.51 (50), p.505601

Zúñiga-Galindo, W A

2018

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Non-Archimedean reaction-ultradiffusion equations and complex hierarchic systems

Nonlinearity, 2018-06, Vol.31 (6), p.2590-2616

Zúñiga-Galindo, W A

2018

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p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field

Nuclear physics. B, 2020-02, Vol.951, p.114904, Article 114904

2020

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Eigen’s paradox and the quasispecies model in a non-Archimedean framework

Physica A, 2022-09, Vol.602, p.127648, Article 127648

Zúñiga-Galindo, W.A.

2022

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Ultrametric Diffusion, Exponential Landscapes, and the First Passage Time Problem

Acta applicandae mathematicae, 2018-10, Vol.157 (1), p.93-116

2018

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Turing Patterns in a -Adic FitzHugh-Nagumo System on the Unit Ball

P-adic numbers, ultrametric analysis, and applications, 2023, Vol.15 (4), p.245-265

2023

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p-adic statistical field theory and deep belief networks

Physica A, 2023-02, Vol.612, p.128492, Article 128492

Zúñiga-Galindo, W.A.

2023

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Non-Archimedean Coulomb gases

Journal of mathematical physics, 2020-01, Vol.61 (1)

2020

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Ultrametric diffusion, rugged energy landscapes and transition networks

Physica A, 2022-07, Vol.597, p.127221, Article 127221

Zúñiga-Galindo, W.A.

2022

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p-adic cellular neural networks: Applications to image processing

Physica. D, 2023-04, Vol.446, p.133668, Article 133668

2023

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Nonlocal operators, parabolic-type equations, and ultrametric random walks

Journal of mathematical physics, 2013-11, Vol.54 (11), p.1

2013

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Reaction-diffusion equations on complex networks and Turing patterns, via p-adic analysis

Journal of mathematical analysis and applications, 2020-11, Vol.491 (1), p.124239, Article 124239

Zúñiga-Galindo, W.A.

2020

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Local Well-Posedness of the Cauchy Problem for a -Adic Nagumo-Type Equation

P-adic numbers, ultrametric analysis, and applications, 2022, Vol.14 (4), p.279-296

2022

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Zeta functions and oscillatory integrals for meromorphic functions

Advances in mathematics (New York. 1965), 2017-04, Vol.311, p.295-337

2017

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Regularization of p-adic string amplitudes, and multivariate local zeta functions

Letters in mathematical physics, 2019-05, Vol.109 (5), p.1167-1204

2019

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Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra

Transactions of the American Mathematical Society, 2008-04, Vol.360 (4), p.2205-2227

2008

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Erratum: “Nonlocal operators, parabolic-type equations, and ultrametric random walks” [J. Math. Phys. 54, 113503 (2013)]

Journal of mathematical physics, 2014-10, Vol.55 (10)

2014

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Ultrametric Pseudodifferential Equations and Applications

Advances in Non-Archimedean Analysis and Applications: The P-Adic Methodology in STEAM-H

On p-adic string amplitudes in the limit p approaches to one

Hierarchical Wilson-Cowan Models and Connection Matrices

Non-Archimedean White Noise, Pseudodifferential Stochastic Equations, and Massive Euclidean Fields

Non-Archimedean quantum mechanics via quantum groups

Meromorphic continuation of Koba-Nielsen string amplitudes

p-adic Cellular Neural Networks

Non-Archimedean replicator dynamics and Eigen's paradox

Non-Archimedean reaction-ultradiffusion equations and complex hierarchic systems

p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field

Eigen’s paradox and the quasispecies model in a non-Archimedean framework

Ultrametric Diffusion, Exponential Landscapes, and the First Passage Time Problem

Turing Patterns in a -Adic FitzHugh-Nagumo System on the Unit Ball

p-adic statistical field theory and deep belief networks

Non-Archimedean Coulomb gases

Ultrametric diffusion, rugged energy landscapes and transition networks

p-adic cellular neural networks: Applications to image processing

Nonlocal operators, parabolic-type equations, and ultrametric random walks

Reaction-diffusion equations on complex networks and Turing patterns, via p-adic analysis

Local Well-Posedness of the Cauchy Problem for a -Adic Nagumo-Type Equation

Zeta functions and oscillatory integrals for meromorphic functions

Regularization of p-adic string amplitudes, and multivariate local zeta functions

Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra

Erratum: “Nonlocal operators, parabolic-type equations, and ultrametric random walks” [J. Math. Phys. 54, 113503 (2013)]

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