arXiv subjects

Inocencio Ortiz

Publications and source records attributed to Inocencio Ortiz.

3 recordsLinked to original sources

arXiv2026

On topological and algebraic structures of categorical random variables

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 of categorical random variables. Moreover, we also show that there is a natural commutative monoid structure in the same quotient space, which is compatible with the topology induced by the metric, in the sense that the monoid operation is continuous.

cs.IT↗

arXiv2022

A Herglotz-based integrator for nonholonomic mechanical systems

We propose a numerical scheme for the time-integration of nonholonomic mechanical systems, both conservative and nonconservative. The scheme is obtained by simultaneously discretizing the constraint equations and the Herglotz variational principle. We validate the method using numerical simulations and contrast them against the results of standard methods from the literature.

math.NA↗

arXiv2020

Morita equivalence of formal Poisson structures

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 $π=π_0 + λπ_1 +\cdots$ satisfying the Poisson integrability condition $[π,π]=0$. Our main result gives a complete description of Morita equivalent formal Poisson structures deforming the zero structure ($π_0=0$) in terms of $B$-field transformations, relying on a general study of formal deformations of Poisson morphisms and dual pairs. Combined with previous work on Morita equivalence of star products, our results link the notions of Morita equivalence in Poisson geometry and noncommutative algebra via deformation quantization.

math.SG↗