48 citations · 134 across the 20 of their papers we have counts for
5 papers · 1 filter
Constructing Turing complete Euler flows in dimension
Robert Cardona, Eva Miranda, Daniel Peralta-Salas +1
Can every physical system simulate any Turing machine? This is a classical problem which is intimately connected with the undecidability of certain physical phenomena. Concerning f…
Path Optimization Sheaves
Michael Moy, Robert Cardona, Robert Green +3
Motivated by efforts to incorporate sheaves into networking, we seek to reinterpret pathfinding algorithms in terms of cellular sheaves, using Dijkstra's algorithm as an example. W…
Integrable systems on singular symplectic manifolds: From local to global
Robert Cardona, Eva Miranda
In this article we consider integrable systems on manifolds endowed with singular symplectic structures of order one. These structures are symplectic away from an hypersurface wher…
The topology of Bott integrable fluids
Robert Cardona
We construct non-vanishing steady solutions to the Euler equations (for some metric) with analytic Bernoulli function in each three-manifold where they can exist: graph manifolds.…
Steady Euler flows and Beltrami fields in high dimensions
Robert Cardona
Using open books, we prove the existence of a non-vanishing steady solution to the Euler equations for some metric in every homotopy class of non-vanishing vector fields of any odd…