21 citations · 122 across the 24 of their papers we have counts for
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math.DS2017★ 2 cited
Minimal boundaries in Tonelli Lagrangian systems
Luca Asselle, Gabriele Benedetti, Marco Mazzucchelli
We prove several new results concerning action minimizing periodic orbits of Tonelli Lagrangian systems on an oriented closed surface . More specifically, we show that for every…
math.DS2017★ 1 cited
Infinitely many periodic orbits just above the Mañé critical value on the 2-sphere
Gabriele Benedetti, Marco Mazzucchelli
We introduce a new critical value for Tonelli Lagrangians on the tangent bundle of the 2-sphere without minimizing measures supported on a point. We show that $c_…