activity
20242026
collaborators

6 papers

math.DG2026

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…

eess.SP2025

A Structured Family of Grassmannian Constellations via Geodesic Mapping for MIMO Noncoherent Communications

Álvaro Pendás-Recondo, Álvaro Pendás-Recondo, Enrique Pendás-Recondo +1

This work presents a novel structured family of Grassmannian constellations for multiple-input multiple-output (MIMO) noncoherent communications over Rayleigh block-fading channels…

math.DG2025

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,…

math.DG2025

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…

math.DG2024

A general model for wildfire propagation with wind and slope

Miguel Ángel Javaloyes, Enrique Pendás-Recondo, Miguel Sánchez

A geometric model for the computation of the firefront of a forest wildfire which takes into account several effects (possibly time-dependent wind, anisotropies and slope of the gr…

math.DG2024

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…