4 citations · 8 across the 7 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…
Time-dependent Zermelo navigation with tacking
Steen Markvorsen, Enrique Pendás-Recondo, Frederik Möbius Rygaard
We address the time- and position-dependent Zermelo navigation problem within the framework of Lorentz-Finsler geometry. Since the initial work of E. Zermelo, the task is to find t…
On the application of Lorentz-Finsler geometry to model wave propagation
Enrique Pendás-Recondo
The recent increasing interest in the study of Lorentz-Finsler geometry has led to several applications to model real-world physical phenomena. Our purpose is to provide a simple,…
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…
Snell's law revisited and generalized via Finsler Geometry
Steen Markvorsen, Enrique Pendás-Recondo
We study the variational problem of finding the fastest path between two points that belong to different anisotropic media, each with a prescribed speed profile and a common interf…
An account on links between Finsler and Lorentz Geometries for Riemannian Geometers
Miguel Ángel Javaloyes, Enrique Pendás-Recondo, Miguel Sánchez
Some links between Lorentz and Finsler geometries have been developed in the last years, with applications even to the Riemannian case. Our purpose is to give a brief description o…