79 citations · 546 across the 50 of their papers we have counts for
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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…
Finsler pp-waves and the Penrose Limit
Amir Babak Aazami, Miguel Ángel Javaloyes, Marcus C. Werner
The Penrose plane wave limit is a remarkable property of Lorentzian spacetimes. Here, we discuss its extension to Finsler spacetimes by introducing suitable lightlike coordinates a…