38 citations · 147 across the 33 of their papers we have counts for
11 papers · 1 filter
p-Adic Statistical Field Theory and Deep Belief Networks
W. A. Zúñiga-Galindo
In this work we initiate the study of the correspondence between p-adic statistical field theories (SFTs) and neural networks (NNs). In general quantum field theories over a p-adic…
Regularization of p-adic String Amplitudes, and Multivariate Local Zeta Functions
Miriam Bocardo-Gaspar, H. García-Compeán, W. A. Zúñiga-Galindo
We prove that the p-adic Koba-Nielsen type string amplitudes are bona fide integrals. We attach to these amplitudes Igusa-type integrals depending on several complex parameters and…
Non-Archimedean Reaction-Ultradiffusion Equations and Complex Hierarchic Systems
W. A. Zúñiga-Galindo
We initiate the study of non-Archimedean reaction-ultradiffusion equations and their connections with models of complex hierarchic systems. From a mathematical perspective, the equ…
Ultrametric Diffusion, Exponential Landscapes, and the First Passage Time Problem
Anselmo Torresblanca-Badillo, W. A. Zúñiga-Galindo
In this article we study certain ultradiffusion equations connected with energy landscapes of exponential type. These equations are connected with the p-adic models of complex syst…
The Cauchy Problem for Non-Archimedean Pseudodifferential Equations of Klein-Gordon Type
W. A. Zuniga-Galindo
In this article we introduce a new class of non-Archimedean pseudodifferential equations of Klein-Gordon type and study the corresponding Cauchy problem for these equations. A rema…
Parabolic Type Equations and Markov Stochastic Processes on Adeles
Sergii M. Torba, W. A. Zuniga-Galindo
In this paper we study the Cauchy problem for new classes of parabolic type pseudodifferential equations over the rings of finite adeles and adeles. We show that the adelic topolog…
Elliptic Pseudo-Differential Equations and Sobolev Spaces over p-adic Fields
J. J. Rodriguez-Vega, W. A. Zuniga-Galindo
We study the solutions of equations of type , where is a -adic pseudo-differential operator. If is a Bruhat-Schwartz function, then there exists a distri…
Taibleson Operators, p-adic Parabolic Equations and Ultrametric Diffusion
J. J. Rodriguez-Vega, W. A. Zuniga-Galindo
We give a multimensional version of the p-adic heat equation, and show that its fundamental solution is the transition density of a Markov process.
Decay of solutions of wave-type pseudo-differential equations over p-adic fields
W. A. Zuniga-Galindo
During the eighties several physical models using p-adic numbers were proposed. Particularly various models of p-adic quantum mechanics. As a consequence of this fact several new m…
Fundamental solutions of pseudo-differential operators over p-adic fields
W. A. Zuniga-Galindo
We show the existence of fundamental solutions for p-adic pseudo-differential operators with polynomial symbols.
Pseudo-differential equations connected with p-adic forms and local zeta functions
W. A. Zuniga-Galindo
We study the asymptotics of fundamental solutions of p-adic pseudo-differential equations connected with homogeneous polynomials by using techniques of local zeta functions theory.