37 citations · 126 across the 20 of their papers we have counts for
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Global Results for Eikonal Hamilton-Jacobi Equations on Networks
Antonio Siconolfi, Alfonso Sorrentino
We study a one-parameter family of Eikonal Hamilton-Jacobi equations on an embedded network, and prove that there exists a unique critical value for which the corresponding equatio…
On the Local Birkhoff Conjecture for Convex Billiards
Vadim Kaloshin, Alfonso Sorrentino
The classical Birkhoff conjecture claims that the boundary of a strictly convex integrable billiard table is necessarily an ellipse (or a circle as a special case). In this article…
Aubry-Mather Theory for Conformally Symplectic Systems
Stefano Marò, Alfonso Sorrentino
In this article we develop an analogue of Aubry-Mather theory for a class of dissipative systems, namely conformally symplectic systems, and prove the existence of interesting inva…
On the Marked Length Spectrums of Generic Strictly Convex Billiard Tables
Guan Huang, Vadim Kaloshin, Alfonso Sorrentino
In this paper we show that for a generic strictly convex domain, one can recover the eigendata corresponding to Aubry-Mather periodic orbits of the induced billiard map, from the (…