11 citations · 21 across the 4 of their papers we have counts for
7 papers
Hierarchical Wilson-Cowan Models and Connection Matrices
W. A. Zúñiga-Galindo, B. A. Zambrano-Luna
This work aims to study the interplay between the Wilson-Cowan model and the connection matrices. These matrices describe the cortical neural wiring, while the Wilson-Cowan equatio…
p-Adic Statistical Field Theory and Convolutional Deep Boltzmann Machines
W. A. Zúñiga-Galindo, Cuiyu He, B. A. Zambrano-Luna
Understanding how deep learning architectures work is a central scientific problem. Recently, a correspondence between neural networks (NNs) and Euclidean quantum field theories (Q…
Non-Archimedean Quantum Mechanics via Quantum Groups
W. A. Zúñiga-Galindo
We present a new non-Archimedean realization of the Fock representation of the q-oscillator algebras where the creation and annihilation operators act on complex-valued functions,…
Local well-posedness of the Cauchy problem for a p-adic Nagumo-type equation
L. F. Chacón-Cortés, C. A. Garcia-Bibiano, W. A. Zúñiga-Galindo
We introduce a new family of p-adic non-linear evolution equations. We establish the local well-posedness of the Cauchy problem for these equations in Sobolev-type spaces. For a ce…
Eigen's Paradox and the Quasispecies Model in a Non-Archimedean Framework
W. A. Zúñiga-Galindo
In this article we present a new p-adic generalization of the Eigen-Schuster model where the genomes (sequences) are represented by words written in the alphabet 0,1,,p-1, where p…
Euclidean Quantum Field Formulation of p-Adic open string amplitudes
A. R. Fuquen-Tibatá, H. García-Compeán, W. A. Zúñiga-Galindo
We study in a rigorous mathematical way p-adic quantum field theories whose N-point amplitudes are the expectation of products of vertex operators. We show that this type of amplit…