3 papers
quant-ph2025
Continuous-Time Quantum Markov Chains And Discretizations Of p-Adic Schrödinger Equations: Comparisons And Simulations
W. A. Zúñiga-Galindo, L. F. Chacón-Cortés
The continuous-time quantum walks (CTQWs) are a fundamental tool in the development of quantum algorithms. Recently, it was shown that discretizations of p-adic Schrödinger equatio…
math.AP2022
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…
math.NT2015
Heat Traces and Spectral Zeta Functions for p-adic Laplacians
L. F. Chacón-Cortés, W. A. Zúñiga-Galindo
In this article we initiate the study of the heat traces and spectral zeta functions for certain p-adic Laplacians. We show that the heat traces are given by p-adic integrals of La…