79 citations · 546 across the 50 of their papers we have counts for
56 papers
On the formulations of the Fermat principle in general relativity and beyond
Erasmo Caponio, Miguel Angel Javaloyes
This paper presents a survey of the Fermat principle within the framework of general relativity, tracing its evolution from classical optics to its modern variational formulation i…
Generalized Fermat's principle and Snell's law for cone structures and applications
Miguel Ángel Javaloyes, Steen Markvorsen, Enrique Pendás-Recondo +1
Fermat's principle is fully generalized to the case where a smooth interface separates two cone structures -- Lorentz-Finsler lightcones -- representing wave propagation in a poten…
Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
We consider a geodesic problem in a manifold endowed with a Randers-Kropina metric. This is a type of singular Finsler metric arising both in the description of the lightlike vecto…
Causal ladder of Finsler spacetimes with a cone Killing vector field
Erasmo Caponio, Miguel Angel javaloyes
The correspondence between wind Riemannian structures and spacetimes endowed with a Killing vector field is deepened by considering a cone structure endowed with a vector field tha…
Gielis superformula and wildfire models
Miguel Ángel Javaloyes, Enrique Pendás-Recondo, Miguel Sánchez
Experimental data on the propagation of wildfires show that its short-time spread has a double semi-elliptical shape. Our main goal is to show that this shape can be accurately app…
The fundamental equations of a pseudo-Finsler submersion
Matthieu Huber, Miguel Ángel Javaloyes Victoria
The main result in this paper is the generalisation of the fundamental equations of a Riemannian submersion presented in the 1966 article by Barrett O'Neill to the context of pseud…