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math.DS2017★ 1 cited
Markov Numbers, Mather's function and stable norm
Alfonso Sorrentino, Alexander P. Veselov
V. Fock [7] introduced an interesting function , related to Markov numbers. We explain its relation to Federer-Gromov's stable norm and Mather's -funct…
math.DS2017★ 1 cited
Nearly circular domains which are integrable close to the boundary are ellipses
Guan Huang, Vadim Kaloshin, Alfonso Sorrentino
The Birkhoff conjecture says that the boundary of a strictly convex integrable billiard table is necessarily an ellipse. In this article, we consider a stronger notion of integrabi…