6 papers
Uniqueness of tangent planes and (non-)removable singularities at infinity for collapsed translators
Eddygledson Souza Gama, Francisco MartÃn, Niels Martin Møller
We show that mean curvature flow translators may exhibit non-removable singularities at infinity, due to jump discontinuities in their asymptotic profiles, and that oscillation can…
Classification of Semigraphical Translators
Francisco MartÃn, Mariel Sáez, Raphael Tsiamis +1
We complete the classification of semigraphical translators for mean curvature flow in that was initiated by Hoffman-MartÃn-White. Specifically, we show that there…
I Move Therefore I Learn: Experience-Based Traversability in Outdoor Robotics
Miguel Ãngel de Miguel, Jorge Beltrán, Juan S. Cely +3
Accurate traversability estimation is essential for safe and effective navigation of outdoor robots operating in complex environments. This paper introduces a novel experience-base…
Finite entropy translating solitons in slabs
Eddygledson Souza Gama, Francisco MartÃn, Niels Martin Møller
We study translating solitons for the mean curvature flow, which are contained in slabs, and are of finite genus and finite entropy. As a first conseque…
Uniqueness of Semigraphical Translators
Francisco MartÃn, Mariel Sáez, Raphael Tsiamis
We prove a conjecture by Hoffman, White, and the first author regarding the uniqueness of pitchfork and helicoid translators of the mean curvature flow in . We employ…
Translating Annuli for Mean Curvature Flow
David Hoffman, Francisco MartÃn, Brian White
We construct a family of complete, properly embedded, annular translators such that lies in a slab and is invariant under reflections in the vertical coordinate planes. Eac…