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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…
math.NT2020
A new class of -adic Lipschitz functions and multidimensional Hensel's Lemma
Fausto Bolivar-Barbosa, Edwin León-Cardenal, J. J. Rodríguez-Vega
In this work we study -adic continuous functions in several variables taking values on . We describe the orthonormal van der Put base of these functions and study…