4 papers
Entropic and algebraic transcript-based tools in time series analysis
José M. Amigó, Roberto Dale
Algebraic representations of time series are symbolic representations whose symbols belong to a finite group. Precisely, the framework of the present paper is the analysis of coupl…
Permutation-Based Distances for Groups and Group-Valued Time Series
José M. Amigó, Roberto Dale
Permutations on a set, endowed with function composition, build a group called a symmetric group. In addition to their algebraic structure, symmetric groups have two metrics that a…
Violation of Bell inequalities from Cosmic Microwave Background data
Roberto Dale, Jesús M. GandÃa, Juan Antonio Morales-Lladosa +1
In a recent paper [R. Dale. R. Lapiedra, and J. A. Morales-Lladosa, Phys. Rev. D {\bf 107}, 023506 (2023)] a cosmic-like Clauser-Horne-Shimony-Holt (CHSH) inequality was proved for…
Generalized synchronization in the presence of dynamical noise and its detection via recurrent neural networks
José M. Amigó, Roberto Dale, Juan C. King +1
Given two unidirectionally coupled nonlinear systems, we speak of generalized synchronization when the responder \textquotedblleft follows\textquotedblright\ the driver. Mathematic…