3 papers
math.SG2026
-Poisson geometry, coisotropic submanifolds, and clean intersection points
Robert Cardona, Fabio Gironella
In this work, we initiate the study of rigidity and non-rigidity phenomena for Poisson homeomorphisms, defined as uniform -limits of Poisson diffeomorphisms. First, we prove t…
math.DS2025
On dynamical invariants of coadjoint orbits of 3D volume-preserving diffeomorphisms
Robert Cardona, Julian Chaidez, Francisco Torres de Lizaur
The helicity, or asymptotic linking number, is a functional of exact volume-preserving vector fields on 3-manifolds, invariant under volume-preserving transformations. It is known…
math.DS2024
Towards a Fluid computer
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
In 1991, Moore [20] raised a question about whether hydrodynamics is capable of performing computations. Similarly, in 2016, Tao [25] asked whether a mechanical system, including a…