Alfonso Sorrentino

Alfonso Sorrentino, Jianlu Zhang, Siyao Zhu. Statistical regularity and linear response of Mather measures for Tonelli Lagrangian systems. ArXiv: 2603.11576, 2026.

Corentin Fierobe, Vadim Kaloshin, Alfonso Sorrentino. A billiard table close to an ellipse is deformationally spectrally rigid among dihedrally symmetric domain. ArXiv: 2511.20062, 2025.

Anna Florio, Martin Leguil, Alfonso Sorrentino. On the rigidity of the stable norm and Mather’s β-function for geodesic flows. ArXiv: 2511.12226, 2025.

Marco Pozza, Alfonso Sorrentino. Stochastic Homogenization of the Hamilton-Jacobi equation on Manifolds. ArXiv: 2510.11714, 2025.

Stefano Baranzini, Misha Bialy, Alfonso Sorrentino. Isoperimetric-type inequalities for Mather’s β-function of convex billiards. ArXiv: 2509.06915, 2025.

Marco Pozza, Antonio Siconolfi, Alfonso Sorrentino. Homogenization of Hamilton–Jacobi equations on networks. ArXiv: 2411.03803, 2024.

Alfonso Sorrentino. Homogenization of the Hamilton-Jacobi equation, Preprint 2015 (revised 2019). ArXiv: 1904.01359.

Rafael O. Ruggiero, Alfonso Sorrentino. On the set of asymptotic homologies of orbits on invariant Lagrangian graphs. Mathematische Zeitschrift 313 (47), 2026.

Alfonso Sorrentino, Lin Wang. On the destruction of invariant Lagrangian graphs for conformal symplectic twist maps. To appear in Calculus of Variations and PDE, ArXiv: 2504.06773.

VV. AA. Open problems in billiards and quantitative symplectic geometry. To appear in Arnold Mathematical journal, Arxiv: 2602.12896.

Corentin Fierobe, Alfonso Sorrentino. On the existence of periodic invariant curves for analytic families of twist maps and billiards. Revista Matemática Iberoamericana, Onlinefirst 2025.

Corentin Fierobe, Alfonso Sorrentino, Amir Vig. Deformational spectral rigidity of axially-symmetric symplectic billiards. Nonlinearity 38 (10): 105010, 2025.

Alfonso Sorrentino, Sergei Tabachnikov. Mathematical Billiards and Related Topics. Simons Center for Geometry and Physics (SCGP) News, Vol. XXII, Fall/Winter 2024, pp 12-156, 2024.

Corentin Fierobe, Vadim Kaloshin, Alfonso Sorrentino. Lecture Notes on Birkhoff Billiards: Dynamics, Integrability and Spectral Rigidity. Modern Aspect of dynamical systems (Cetraro, Italy 2021). Lecture Notes in Mathematics Vol. 2347, pp 1–58, Springer, 2024.

Alfonso Sorrentino. On the fragility of periodic tori for families of symplectic twist maps. Oberwolfach report, European Mathematical Society Publishing: 20 (3): 1696–1699, 2023.

Antonio Siconolfi, Alfonso Sorrentino. Aubry-Mather theory on graphs. Nonlinearity 36 (11): 5819–5859, 2023.

Marie-Claude Arnaud, Jessica E. Massetti, Alfonso Sorrentino. On the fragility of periodic tori for families of symplectic twist maps. Advances in Mathematics 429: 109175, 2023.

Vadim Kaloshin, Alfonso Sorrentino. Inverse problems and rigidity questions in billiard dynamics. Ergodic Theory Dynam. Systems, Vol. 42, Issue 3: Anatole Katok Memorial Issue (Part 2: Special Issue of Ergodic Theory and Dynamical Systems): 1023 – 1056, 2022.

Stefano Galatolo, Alfonso Sorrentino. Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle. Discrete and Contin. Dyn. Syst. - A, 42 (2): 815–839 2022.

Carlo Carminati, Stefano Marmi, David Sauzin, Alfonso Sorrentino. On the regularity of Mather’s β-function for standard-like twist maps. Advances in Mathematics 377: 107460, 2021.

Alfonso Sorrentino. On the integrability of Birkhoff billiards. Oberwolfach report, European Mathematical Society Publishing: 16 (3): 1861 – 1863, 2019.

Alfonso Sorrentino. On John Mather’s seminal contributions in Hamiltonian dynamics. Methods and Applications of Analysis (Special Issue in memory of John N. Mather), 26 (1): 37–64, 2019.

Alfonso Sorrentino, Alexander P. Veselov. Markov numbers, Mather’s β-function and stable norm. Nonlinearity, 32 (6): 2147–2156, 2019.

Alfonso Sorrentino. I matematici giocano...a biliardo (in Italian). Matematica, Cultura e Società, Rivista dell’Unione Matematica Italiana, Serie I, vol. 4, N.2, August 2019.

Vadim Kaloshin, Alfonso Sorrentino. On the integrability of Birkhoff billiards. Philosophical Transactions of the Royal Society A, Volume 376, Issue 2131, 2018.

Vadim Kaloshin, Alfonso Sorrentino. On the local Birkhoff conjecture for convex billiards. Annals of Mathematics, 188 (1): 315–380, 2018.

Guan Huang, Vadim Kaloshin, Alfonso Sorrentino. Nearly circular domains which are integrable close to the boundary are ellipses. Geom. and Funct. Analysis (GAFA), 28 (2): 334–392, 2018.

Guan Huang, Vadim Kaloshin, Alfonso Sorrentino. On Marked Length Spectrum of Generic Strictly Convex Billiard Tables. Duke Math. Journal, 167 (1): 175 – 209, 2018.

Antonio Siconolfi, Alfonso Sorrentino. Global results for Eikonal Hamilton-Jacobi equations on networks. Analysis & PDE, 11 (1): 171–211, 2018.

Stefano Marò, Alfonso Sorrentino. Aubry-Mather theory for conformally symplectic systems. Comm. Math. Phys., 354 (2): 775–808, 2017.

Marco Mazzuccheli, Alfonso Sorrentino. Remarks on the symplectic invariance of Aubry-Mather sets. C. R. Acad. Sci. Paris, Ser. I 354: 419-423, 2016.

Alfonso Sorrentino. Lecture notes on Mather’s theory for Lagrangian systems. Publicationes Matemática del Uruguay,16: 169–192, 2016.

Alfonso Sorrentino. Action-minimizing methods in Hamiltonian dynamics: an introduction to Aubry-Mather theory. Monograph in the Series: Mathematical Lecture Notes Vol. 50, Princeton University Press, 2015.

Alfonso Sorrentino. Computing Mather’s β-function for Birkhoff billiards. Discrete and Contin. Dyn. Syst. - A, 35 (10): 5055 – 5082, 2015.

Gabriel P. Paternain, Alfonso Sorrentino. Symplectic and contact properties of Mañé's critical value on the universal cover. Nonlinear Differential Equations Appl. (NoDEA) 21(5): 679–708, 2014.

Alfonso Sorrentino. A variational approach to the study of the existence of invariant Lagrangian graphs. Boll. Unione Mat. Italiana Serie IX, Vol VI (2): 405 – 440, 2013.

Leo T. Butler, Alfonso Sorrentino. Weak Liouville-Arnol’d theorems and their implications. Comm. Math. Phys. 315 (1): 109 –133, 2012.

Daniel Massart, Alfonso Sorrentino. Differentiability of Mather’s average action and integrability on closed surfaces. Nonlinearity 24 (6): 1777 – 1793, 2011.

Alfonso Sorrentino. On the integrability of Tonelli Hamiltonians. Trans. Amer. Math. Soc. 363 (10): 5071 - 5089, 2011.

Alfonso Sorrentino, Claude Viterbo. Action minimizing properties and distances on the group of Hamiltonian diffeomorphisms. Geom. & Topol. 14 (4): 2383 - 2403, 2010.

Albert Fathi, Alessandro Giuliani, Alfonso Sorrentino. Uniqueness of invariant Lagrangian graphs in a homology or a cohomology class. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. VIII (4): 659 - 680, 2009.

Alfonso Sorrentino. On the structure of action-minimizing sets for Lagrangian systems. Princeton Ph.D. thesis Series, Princeton University, 157 pp. ISBN: 978-0549-52575-2, ProQuest LLC, 2008.

Alfonso Sorrentino. On the total disconnectedness of the quotient Aubry set. Ergodic Theory Dynam. Systems 28 (1): 267-290, 2008.