38 citations · 147 across the 33 of their papers we have counts for
33 papers
Turing patterns in a p-adic FitzHugh-Nagumo system on the unit ball
L. F. Chacón-Cortés, C. A. Garcia-Bibiano, W. A. Zúñiga-Galindo
We introduce discrete and p-adic continuous versions of the FitzHugh-Nagumo system on the one-dimensional p-adic unit ball. We provide criteria for the existence of Turing patterns…
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…
On -adic string amplitudes in the limit approaches to one
M. Bocardo-Gaspar, H. García-Compeán, W. A. Zúñiga-Galindo
In this article we discuss the limit approaches to one of tree-level -adic open string amplitudes and its connections with the topological zeta functions. There is empirical…
Non-Archimedean pseudodifferential operators and Feller Semigroups
Anselmo Torresblanca-Badillo, W. A. Zúñiga-Galindo
In this article we study a class of non-Archimedean pseudodifferential operators whose symbols are negative definite functions. We prove that these operators extend to generators o…
Local Zeta Functions, pseudodifferential operators, and Sobolev-type spaces over non-Archimedean Local Fields
W. A. Zúñiga-Galindo
In this article we introduce a new type of local zeta functions and study some connections with pseudodifferential operators in the framework of non-Archimedean fields. The new loc…
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…