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On the local Birkhoff conjecture for convex billiards

Annals of mathematics, 2018-07, Vol.188 (1), p.315-380

2018

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On the integrability of Tonelli Hamiltonians

Transactions of the American Mathematical Society, 2011-10, Vol.363 (10), p.5071-5089

SORRENTINO, ALFONSO

2011

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Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory

Sorrentino, Alfonso

1, 2015

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Aubry–Mather theory on graphs

Nonlinearity, 2023-11, Vol.36 (11), p.5819-5859

2023

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Inverse problems and rigidity questions in billiard dynamics

Ergodic theory and dynamical systems, 2022-03, Vol.42 (3), p.1023-1056

2022

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On John Mather’s seminal contributions in Hamiltonian dynamics

Methods and applications of analysis, 2019-03, Vol.26 (1), p.37-64

Sorrentino, Alfonso

2019

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On the marked length spectrum of generic strictly convex billiard tables

Duke mathematical journal, 2018-01, Vol.167 (1)

2018

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Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses

Geometric and functional analysis, 2018-04, Vol.28 (2), p.334-392

2018

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On the persistence of periodic tori for symplectic twist maps and the rigidity of integrable twist maps

Advances in mathematics (New York. 1965), 2023-09, Vol.429

2023

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Global results for eikonal Hamilton–Jacobi equations on networks

Analysis & PDE, 2018-01, Vol.11 (1), p.171-211

2018

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Remarks on the symplectic invariance of Aubry–Mather sets

Comptes rendus. Mathématique, 2016-04, Vol.354 (4), p.419-423

2016

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On the fragility of periodic tori for families of symplectic twist maps

Advances in mathematics (New York. 1965), 2023-09, Vol.429, p.109175, Article 109175

2023

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On the regularity of Mather's β-function for standard-like twist maps

Advances in mathematics (New York. 1965), 2021-01, Vol.377, p.107460, Article 107460

2021

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Differentiability of Mather's average action and integrability on closed surfaces

Nonlinearity, 2011-06, Vol.24 (6), p.1777-1793

2011

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On the regularity of Mather's $\beta$-function for standard-like twist maps

Advances in mathematics (New York. 1965), 2020-03, Vol.377

2020

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Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class

Annali della Scuola normale superiore di Pisa, Classe di scienze, 2009-01, p.659-680

2009

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Symplectic and contact properties of the Mañé critical value of the universal cover

Nonlinear differential equations and applications, 2014-10, Vol.21 (5), p.679-708

2014

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On the total disconnectedness of the quotient Aubry set

Ergodic theory and dynamical systems, 2008-02, Vol.28 (1), p.267-290

SORRENTINO, ALFONSO

2008

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Differentiability of Mather's average action and integrability on closed surfaces

Nonlinearity, 2011-06, Vol.24 (6), p.1777-1793

2011

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Action minimizing properties and distances on the group of Hamiltonian diffeomorphisms

Geometry & topology, 2010-01, Vol.14 (4), p.2383-2403

2010

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From KAM Theory to Aubry-Mather Theory

Action-Minimizing Methods in Hamiltonian Dynamics, 2015, Vol.50, p.8

Sorrentino, Alfonso

2015

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Action-Minimizing Curves for Tonelli Lagrangians

Action-Minimizing Methods in Hamiltonian Dynamics, 2015, Vol.50, p.48

Sorrentino, Alfonso

2015

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The Hamilton-Jacobi Equation and Weak KAM Theory

Action-Minimizing Methods in Hamiltonian Dynamics, 2015, Vol.50, p.76-88

Sorrentino, Alfonso

2015

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Action-Minimizing Invariant Measures for Tonelli Lagrangians

Action-Minimizing Methods in Hamiltonian Dynamics, 2015, Vol.50, p.18

Sorrentino, Alfonso

2015

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Appendix A: On the Existence of Invariant Lagrangian Graphs

Action-minimizing Methods in Hamiltonian Dynamics, 2015, p.89-96

Sorrentino, Alfonso

2015

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On the local Birkhoff conjecture for convex billiards

On the integrability of Tonelli Hamiltonians

Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory

Aubry–Mather theory on graphs

Inverse problems and rigidity questions in billiard dynamics

On John Mather’s seminal contributions in Hamiltonian dynamics

On the marked length spectrum of generic strictly convex billiard tables

Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses

On the persistence of periodic tori for symplectic twist maps and the rigidity of integrable twist maps

Global results for eikonal Hamilton–Jacobi equations on networks

Remarks on the symplectic invariance of Aubry–Mather sets

On the fragility of periodic tori for families of symplectic twist maps

On the regularity of Mather's β-function for standard-like twist maps

Differentiability of Mather's average action and integrability on closed surfaces

On the regularity of Mather's $\beta$-function for standard-like twist maps

Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class

Symplectic and contact properties of the Mañé critical value of the universal cover

On the total disconnectedness of the quotient Aubry set

Differentiability of Mather's average action and integrability on closed surfaces

Action minimizing properties and distances on the group of Hamiltonian diffeomorphisms

From KAM Theory to Aubry-Mather Theory

Action-Minimizing Curves for Tonelli Lagrangians

The Hamilton-Jacobi Equation and Weak KAM Theory

Action-Minimizing Invariant Measures for Tonelli Lagrangians

Appendix A: On the Existence of Invariant Lagrangian Graphs

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