2 papers
math.DS2026
Morse Theory and Stability of Periodic Billiard Trajectories
Henry Kavle, Daniel Offin
In a billiard table with boundary, trajectories are critical points of the negative length functional on the space of admissible paths in the billiard table. The goal of this…
math.DS2024
Minimization and Hyperbolicity
Gonzalo Contreras, Daniel Offin
In this paper we study the relationship between the strict locally minimizing orbits for time dependent lagrangian systems and hyperbolicity properties of the corresponding lagrang…