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math-ph2026
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…
math-ph2020★ 8 cited
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…