375 citations · 376 across the 9 of their papers we have counts for
10 papers
PlanSys2: A Planning System Framework for ROS2
Francisco Martín, Jonatan Ginés, Vicente Matellán +1
Autonomous robots need to plan the tasks they carry out to fulfill their missions. The missions' increasing complexity does not let human designers anticipate all the possible situ…
The Grothendieck and Picard groups of finite rank torsion free -modules
F. J. Plaza Martín}, C. Tejero Prieto
The classification problem for simple -modules leads in a natural way to the study of the category of finite rank torsion free -modules and its…
The Marathon 2: A Navigation System
Steve Macenski, Francisco Martín, Ruffin White +1
Developments in mobile robot navigation have enabled robots to operate in warehouses, retail stores, and on sidewalks around pedestrians. Various navigation solutions have been pro…
Nguyen's Tridents and the Classification of Semigraphical Translators for Mean Curvature Flow
David Hoffman, Francisco Martín, Brian White
We construct a one-parameter family of singly periodic translating solutions to mean curvature flow that converge as the period tends to to the union of a grim reaper surface a…
Weil Reciprocity Law and the Theorem of Residues
José M. Muñoz Porras, Francisco J. Plaza Martín
This paper shows how the Theorem of Residues (TR) and the Gelfand-Fuchs cocycle can be deduced in a simple way from the Weil Reciprocity Law (WRL). Indeed, if one understand WRL as…
Scherk-like Translators for Mean Curvature Flow
David Hoffman, Francisco Martín, Brian White
We prove existence and uniqueness for a two-parameter family of translators for mean curvature flow. We get additional examples by taking limits at the boundary of the parameter sp…
Families of minimal surfaces in foliated by arcs and their Jacobi fields
Leonor Ferrer, Francisco Martín, Rafe Mazzeo +1
This note provides some new perspectives and calculations regarding an interesting known family of minimal surfaces in . The surfaces in this family…
Notes on translating solitons for Mean Curvature Flow
David Hoffman, Tom Ilmanen, Francisco Martín +1
The purpose of these notes is to provide an introduction to those who want to learn more about translating solitons for the mean curvature flow in , particularly thos…
Virasoro Groups and Hurwitz Schemes
José M. Muñoz Porras, Francisco J. Plaza Martín
In this paper we study the Hurwitz scheme in terms of the Sato Grassmannian and the algebro-geometric theory of solitons. We will give a characterization, its equations and a show…
Addition Formulae for Non-Abelian Theta Functions and Applications
E. Gómez González, F. J. Plaza Martín
This paper generalizes for non-abelian theta functions a number of formulae valid for theta functions of Jacobian varieties. The addition formula, the relation with the Szego kerne…