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Berti M. KAM theory for partial differential equations. Anal. Theory Appl. [Internet]. 2019 ;35:235–267. Available from: https://doi.org/10.4208/ata.oa-0013
Berti M, Feola R, Procesi M, Terracina S. Reducibility of Klein-Gordon equations with maximal order perturbations. [Internet]. 2024 . Available from: https://arxiv.org/abs/2402.11377
Berti M, Bolle P. A Nash-Moser approach to KAM theory. In: Hamiltonian partial differential equations and applications. Vol. 75. Hamiltonian partial differential equations and applications. Fields Inst. Res. Math. Sci., Toronto, ON; 2015. pp. 255–284. Available from: https://doi.org/10.1007/978-1-4939-2950-4_9
Berti M, Bolle P. Diffusion time and splitting of separatrices for nearly integrable. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl., 2000, 11, 235 [Internet]. 2000 . Available from: http://hdl.handle.net/1963/1547
Berti M, Maspero A, Murgante F. Hamiltonian paradifferential Birkhoff normal form for water waves. Regul. Chaotic Dyn. [Internet]. 2023 ;28:543–560. Available from: https://doi.org/10.1134/S1560354723040032
Berti M, Biasco L, Valdinoci E. Periodic orbits close to elliptic tori and applications to the three-body problem. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5). 2004 ;3:87–138.
Berti M, Maspero A, Murgante F. Local well posedness of the Euler-Korteweg equations on {$\Bbb T^d$}. Journal of Dynamics and Differential Equations [Internet]. 2021 ;33(3):1475 - 1513. Available from: https://doi.org/10.1007/s10884-020-09927-3
Berti M, Bolle P. Sobolev periodic solutions of nonlinear wave equations in higher spatial dimensions. Archive for Rational Mechanics and Analysis. 2010 ;195:609-642.
Berti M, Franzoi L, Maspero A. Traveling quasi-periodic water waves with constant vorticity. Arch. Ration. Mech. Anal. [Internet]. 2021 ;240:99–202. Available from: https://doi.org/10.1007/s00205-021-01607-w
Berti M. Nonlinear oscillations of Hamiltonian PDEs. Birkhäuser Boston, Inc., Boston, MA; 2007 p. xiv+180.
Berti M, Matzeu M, Valdinoci E. On periodic elliptic equations with gradient dependence. Commun. Pure Appl. Anal. [Internet]. 2008 ;7:601–615. Available from: https://doi.org/10.3934/cpaa.2008.7.601
Berti M, Maspero A, Ventura P. On the analyticity of the Dirichlet-Neumann operator and Stokes waves. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. [Internet]. 2022 ;33:611–650. Available from: https://doi.org/10.4171/rlm/983
Berti M, Bolle P. Fast Arnold diffusion in systems with three time scales. Discrete Contin. Dyn. Syst. [Internet]. 2002 ;8:795–811. Available from: https://doi.org/10.3934/dcds.2002.8.795
Berti M, Carminati C. Chaotic dynamics for perturbations of infinite-dimensional Hamiltonian systems. Nonlinear Anal. 48 (2002) 481-504 [Internet]. 2002 . Available from: http://hdl.handle.net/1963/1279
Berti M, Bolle P. Quasi-periodic solutions with Sobolev regularity of NLS on Td with a multiplicative potential. Journal of the European Mathematical Society. 2013 ;15:229-286.
Berti M, Bolle P. Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems. [Internet]. 2000 . Available from: http://hdl.handle.net/1963/1554
Berti M, Bolle P. Cantor families of periodic solutions for wave equations via a variational principle. Advances in Mathematics. 2008 ;217:1671-1727.
Berti M, Maspero A. Long time dynamics of Schrödinger and wave equations on flat tori. J. Differential Equations [Internet]. 2019 ;267:1167–1200. Available from: https://doi.org/10.1016/j.jde.2019.02.004
Berti M, Corsi L, Maspero A, Ventura P. Infinitely many isolas of modulational instability for Stokes waves.; 2024.
Bertola M. Moment determinants as isomonodromic tau functions. Nonlinearity. 2009 ;22:29–50.
Bertola M, Gekhtman M, Szmigielski J. Cauchy-Laguerre two-matrix model and the Meijer-G random point field. Comm. Math. Phys. [Internet]. 2014 ;326:111–144. Available from: http://dx.doi.org/10.1007/s00220-013-1833-8
Bertola M, Corbetta F, Moschella U. Massless scalar field in a two-dimensional de Sitter universe. In: Rigorous quantum field theory. Vol. 251. Rigorous quantum field theory. Basel: Birkhäuser; 2007. pp. 27–38.
Bertola M, Cafasso M. Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. Comm. Math. Phys. [Internet]. 2012 ;309:793–833. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1007/s00220-011-1383-x
Bertola M, Eynard B, Harnad J. Partition functions for matrix models and isomonodromic tau functions. J. Phys. A. 2003 ;36:3067–3083.
Bertola M, Cafasso M. Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles. Random Matrices Theory Appl. [Internet]. 2017 ;6:1750010, 22. Available from: http://dx.doi.org/10.1142/S2010326317500101

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