3 papers
math-ph2026
An analytical approach to calculating stationary PDFs for reflected random walks with an application to BESS-based ramp-rate control
Carlos Colchero, Diego Jiménez-ArreguÃn, Ãlvaro Herrera +2
A Wiener-Hopf-type integral equation for the stationary PDF of a reflected random walk is derived rigorously based on modern probability theory, and an application to battery energ…
quant-ph2026
Spectral analysis of the Koopman operator as a framework for recovering Hamiltonian parameters in open quantum systems
Jorge E. Pérez-GarcÃa, Carlos Colchero, Julio C. Gutiérrez-Vega
Accurate identification of Hamiltonian parameters is essential for modeling and controlling open quantum systems. In this work, we demonstrate that the multichannel Hankel alternat…
nlin.CD2025
A multichannel generalization of the HAVOK method for the analysis of nonlinear dynamical systems
Carlos Colchero, Jorge Perez, Alvaro Herrera +1
By extending Takens' embedding theorem (1981), Deyle and Sugihara (2011) provided a theoretical justification for using parallel measurement time series to reconstruct a system's a…