11 citations · 23 across the 6 of their papers we have counts for
7 papers
Pseudo-Traveling Waves and Bumps in Quantum and Classical Hierarchical Cellular Neural Networks
W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Chayapuntika Indoung
We study the existence of pseudo-traveling waves and bump solutions for two classes of hierarchical cellular neural networks (CNNs) defined over the ring of -adic integers $\mat…
Decoding the spatial spread of cyanobacterial blooms in an epilimnion
Jacob Serpico, Kyunghan Choi, B. A. Zambrano-Luna +2
Cyanobacterial blooms (CBs) pose significant global challenges due to their harmful toxins and socio-economic impacts, with nutrient availability playing a key role in their growth…
Deciphering culprits for cyanobacterial blooms and lake vulnerability in north-temperate lakes
Jacob Serpico, B. A. Zambrano-Luna, Russell Milne +3
Harmful cyanobacterial blooms (CBs) are increasingly prevalent worldwide, posing significant environmental and health concerns. We derive a stoichiometric model describing the popu…
Hierarchical Neural Networks, p-Adic PDEs, and Applications to Image Processing
W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Baboucarr Dibba
The first goal of this article is to introduce a new type of p-adic reaction-diffusion cellular neural network with delay. We study the stability of these networks and provide nume…
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…
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…