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math.DG2025
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…
math.DG2024★ 1 cited
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…