45 citations · 118 across the 15 of their papers we have counts for
15 papers
Local Zeta Functions and Koba-Nielsen String Amplitudes
M. Bocardo-Gaspar, H. García-Compeán, Edgar Y. López +1
This article is a survey of our recent work on the connections between Koba-Nielsen amplitudes and local zeta functions (in the sense of Gel'fand, Weil, Igusa, Sato, Bernstein, Den…
Non-Archimedean Models of Morphogenesis
W. A. Zúñiga-Galindo
We study a p-adic reaction-diffusion system and the associated Turing patterns. We establish an instability criteria and show that the Turing patterns are not classical patterns co…
Non-Archimedean Statistical Field Theory
W. A. Zúñiga-Galindo
We construct in a rigorous mathematical way interacting quantum field theories on a p-adic spacetime. The main result is the construction of a measure on a function space which all…
Graphs, local zeta functions, Log-Coulomb Gases, and phase transitions at finite temperature
W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Edwin León-Cardenal
We study a log-gas on a network (a finite, simple graph) confined in a bounded subset of a local field (i.e. R, C, Q_{p} the field of p-adic numbers). In this gas, a log-Coulomb in…
p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field
H. García-Compeán, Edgar Y. López, W. A. Zúñiga-Galindo
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 us…
Non-Archimedean Coulomb Gases
Sergii M. Torba, W. A. Zúñiga-Galindo
This article aims to study the Coulomb gas model over the -dimensional -adic space. We establish the existence of equilibria measures and the -limit for the Coulomb energy…
Meromorphic Continuation of Koba-Nielsen String Amplitudes
M. Bocardo-Gaspar, Willem Veys, W. A. Zúñiga-Galindo
In this article, we establish in a rigorous mathematical way that Koba-Nielsen amplitudes defined on any local field of characteristic zero are bona fide integrals that admit merom…
Reaction-diffusion Equations on Complex Networks and Turing Patterns, via p-Adic Analysis
W. A. Zúñiga-Galindo
Nakao and Mikhailov proposed using continuous models (mean-field models) to study reaction-diffusion systems on networks and the corresponding Turing patterns. This work aims to sh…
Construction of p-adic Covariant Quantum Fields in the Framework of White Noise Analysis
Edilberto Arroyo-Ortiz, W. A. Zúñiga-Galindo
In this article we construct a large class of interacting Euclidean quantum field theories, over a p-adic space time, by using white noise calculus. We introduce p-adic versions of…
Acausal quantum theory for non-Archimedean scalar fields
M. L. Mendoza-Martínez, J. A. Vallejo, W. A. Zúñiga-Galindo
We construct a family of quantum scalar fields over a adic spacetime which satisfy adic analogues of the Gårding--Wightman axioms. Most of the axioms can be formulated the…
Local Zeta Functions for Rational Functions and Newton Polyhedra
Miriam Bocardo-Gaspar, W. A. Zúñiga-Galindo
In this article, we introduce a notion of non-degeneracy, with respect to certain Newton polyhedra, for rational functions over non-Archimedean locals fields of arbitrary character…
Heat Traces and Spectral Zeta Functions for p-adic Laplacians
L. F. Chacón-Cortés, W. A. Zúñiga-Galindo
In this article we initiate the study of the heat traces and spectral zeta functions for certain p-adic Laplacians. We show that the heat traces are given by p-adic integrals of La…
Non-Archimedean White Noise, Pseudodifferential Stochastic Equations, and Massive Euclidean Fields
W. A. Zúñiga-Galindo
We construct p-adic Euclidean random fields Φ over Q_{p}^{N}, for arbitrary N, these fields are solutions of p-adic stochastic pseudodifferential equations. From a mathematical per…
Non-local Operators, Non-Archimedean Parabolic-type Equations with Variable Coefficients and Markov Processes
L. F. Chacón-Cortes, W. A. Zúñiga-Galindo
In this article, we introduce a new class of parabolic-type pseudo differential equations with variable coefficients over the p-adics. We establish the existence and uniqueness of…
Nonlocal Operators, Parabolic-type Equations, and Ultrametric Random Walks
L. F. Chacón-Cortes, W. A. Zúñiga-Galindo
In this article we introduce a new type of nonlocal operators and study the Cauchy problem for certain parabolic-type pseudodifferential equations naturally associated to these ope…