| On the local Birkhoff conjecture for convex billiards V Kaloshin, A Sorrentino Annals of Mathematics 188 (1), 315-380, 2018 | 113 | 2018 |
| Action-minimizing methods in Hamiltonian dynamics (MN-50): An introduction to Aubry-Mather theory A Sorrentino Princeton University Press, 2015 | 51 | 2015 |
| On the integrability of Birkhoff billiards V Kaloshin, A Sorrentino Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2018 | 47 | 2018 |
| Lecture notes on Mather's theory for Lagrangian systems A Sorrentino arXiv preprint arXiv:1011.0590, 2010 | 46 | 2010 |
| Aubry–Mather theory for conformally symplectic systems S Marò, A Sorrentino Communications in Mathematical Physics 354, 775-808, 2017 | 43 | 2017 |
| Differentiability of Mather's average action and integrability on closed surfaces D Massart, A Sorrentino arXiv preprint arXiv:0907.2055, 2009 | 31 | 2009 |
| Uniqueness of invariant Lagrangian graphs in a homology or a cohomology class A Fathi, A Giuliani, A Sorrentino Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 8 (4), 659-680, 2009 | 30 | 2009 |
| On the marked length spectrum of generic strictly convex billiard tables G Huang, V Kaloshin, A Sorrentino | 24 | 2018 |
| On the integrability of Tonelli Hamiltonians A Sorrentino Transactions of the American Mathematical Society 363 (10), 5071-5089, 2011 | 23 | 2011 |
| Nearly circular domains which are integrable close to the boundary are ellipses G Huang, V Kaloshin, A Sorrentino Geometric and Functional Analysis 28, 334-392, 2018 | 21 | 2018 |
| Computing Mather's\beta-function for Birkhoff billiards A Sorrentino arXiv preprint arXiv:1309.1008, 2013 | 20 | 2013 |
| Action minimizing properties and distances on the group of Hamiltonian diffeomorphisms A Sorrentino, C Viterbo Geometry & Topology 14 (4), 2383-2403, 2010 | 19 | 2010 |
| On the total disconnectedness of the quotient Aubry set A Sorrentino Ergodic Theory and Dynamical Systems 28 (1), 267-290, 2008 | 17 | 2008 |
| Weak Liouville-Arnol′ d Theorems and Their Implications LT Butler, A Sorrentino Communications in Mathematical Physics 315, 109-133, 2012 | 11 | 2012 |
| Markov numbers, Mather’s β function and stable norm A Sorrentino, AP Veselov Nonlinearity 32 (6), 2147, 2019 | 10 | 2019 |
| Global results for eikonal Hamilton–Jacobi equations on networks A Siconolfi, A Sorrentino Analysis & PDE 11 (1), 171-211, 2017 | 8 | 2017 |
| Remarks on the symplectic invariance of Aubry–Mather sets M Mazzucchelli, A Sorrentino Comptes Rendus. Mathématique 354 (4), 419-423, 2016 | 8 | 2016 |
| Symplectic and contact properties of the Mañé critical value of the universal cover GP Paternain, A Sorrentino Nonlinear Differential Equations and Applications NoDEA 21, 679-708, 2014 | 6 | 2014 |
| Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle S Galatolo, A Sorrentino arXiv preprint arXiv:2006.15937, 2020 | 5 | 2020 |
| Action-minimizing methods in Hamiltonian dynamics, volume 50 of Mathematical Notes A Sorrentino Princeton University Press, Princeton, NJ, 2015 | 5 | 2015 |
vadim KaloshinInstitute of Science and Technology Austria (IST Austria)Verified email at ist.ac.at
