3 papers
cs.IT2025
On topological and algebraic structures of categorical random variables
Inocencio Ortiz, Santiago Gómez-Guerrero, Christian E. Schaerer
Based on entropy and symmetrical uncertainty (SU), we define a metric for categorical random variables and show that this metric can be promoted into an appropriate quotient space…
math.NA2022
A Herglotz-based integrator for nonholonomic mechanical systems
Elias Maciel, Inocencio Ortiz, Christian E. Schaerer
We propose a numerical scheme for the time-integration of nonholonomic mechanical systems, both conservative and nonconservative. The scheme is obtained by simultaneously discretiz…
math.SG2020
Morita equivalence of formal Poisson structures
Henrique Bursztyn, Inocencio Ortiz, Stefan Waldmann
We extend the notion of Morita equivalence of Poisson manifolds to the setting of {\em formal} Poisson structures, i.e., formal power series of bivector fields $π=π_0 + λπ_1 +\cdot…