48 citations · 134 across the 20 of their papers we have counts for
4 papers · 1 filter
The Universal -Metric on Merge Trees
Robert Cardona, Justin Curry, Tung Lam +1
Adapting a definition given by Bjerkevik and Lesnick for multiparameter persistence modules, we introduce an -type extension of the interleaving distance on merge trees. We…
Looking at Euler flows through a contact mirror: Universality and undecidability
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. In recent papers [5, 6, 7, 8] several unknown facets of the E…
Turing universality of the incompressible Euler equations and a conjecture of Moore
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
In this article we construct a compact Riemannian manifold of high dimension on which the time dependent Euler equations are Turing complete. More precisely, the halting of any Tur…
The periodic orbit conjecture for steady Euler flows
Robert Cardona
The periodic orbit conjecture states that, on closed manifolds, the set of lengths of the orbits of a non-vanishing vector field all whose orbits are closed admits an upper bound.…