11 papers
Local Zeta Functions and Koba-Nielsen String Amplitudes
M. Bocardo-Gaspar, H. García-Compeán, Edgar Y. López +1
This article is a survey of our recent work on the connections between Koba-Nielsen amplitudes and local zeta functions (in the sense of Gel'fand, Weil, Igusa, Sato, Bernstein, Den…
Non-Archimedean Models of Morphogenesis
W. A. Zúñiga-Galindo
We study a p-adic reaction-diffusion system and the associated Turing patterns. We establish an instability criteria and show that the Turing patterns are not classical patterns co…
Non-Archimedean Statistical Field Theory
W. A. Zúñiga-Galindo
We construct in a rigorous mathematical way interacting quantum field theories on a p-adic spacetime. The main result is the construction of a measure on a function space which all…
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…
p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field
H. García-Compeán, Edgar Y. López, W. A. Zúñiga-Galindo
We establish rigorously the regularization of the p-adic open string amplitudes, with Chan-Paton rules and a constant B-field, introduced by Ghoshal and Kawano. In this study we us…
Non-Archimedean Coulomb Gases
Sergii M. Torba, W. A. Zúñiga-Galindo
This article aims to study the Coulomb gas model over the -dimensional -adic space. We establish the existence of equilibria measures and the -limit for the Coulomb energy…