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Berti M, Feola R, Franzoi L. Quadratic life span of periodic gravity-capillary water waves. Water Waves [Internet]. 2021 ;3:85–115. Available from: https://doi.org/10.1007/s42286-020-00036-8
Berti M, Bolle P. Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 1998 ;9:167–175.
Berti M, Delort J-M. Almost global solutions of capillary-gravity water waves equations on the circle. Springer, Cham; Unione Matematica Italiana, [Bologna]; 2018 p. x+268. Available from: https://doi.org/10.1007/978-3-319-99486-4
Berti M, Biasco L, Procesi M. Existence and stability of quasi-periodic solutions for derivative wave equations. Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. 2013 ;24:199-214.
Berti M, Bolle P. Quasi-periodic solutions of nonlinear Schrödinger equations on $\Bbb T^d$. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. [Internet]. 2011 ;22:223–236. Available from: https://doi.org/10.4171/RLM/597
Berti M, Biasco L, Bolle P. Optimal stability and instability results for a class of nearly integrable Hamiltonian systems. Atti.Accad.Naz.Lincei Cl.Sci.Fis.Mat.Natur.Rend.Lincei (9) Mat.Appl.13(2002),no.2,77-84 [Internet]. 2002 . Available from: http://hdl.handle.net/1963/1596
Berti M, Feola R, Pusateri F. Birkhoff normal form and long time existence for periodic gravity water waves. Comm. Pure Appl. Math. [Internet]. 2023 ;76:1416–1494. Available from: https://doi.org/10.1002/cpa.22041
Berti M, Bolle P. Cantor families of periodic solutions for completely resonant wave equations. Frontiers of Mathematics in China. 2008 ;3:151-165.
Berti M, Bolle P. A functional analysis approach to Arnold diffusion. Ann. Inst. H. Poincaré C Anal. Non Linéaire [Internet]. 2002 ;19:395–450. Available from: https://doi.org/10.1016/S0294-1449(01)00084-1
Berti M. Arnold diffusion: a functional analysis approach. Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 43, Part 1, 2, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2002. 2002 .
Berti M, Montalto R. Quasi-periodic standing wave solutions of gravity-capillary water waves. Mem. Amer. Math. Soc. [Internet]. 2020 ;263:v+171. Available from: https://doi.org/10.1090/memo/1273
Berti M, Maspero A, Ventura P. First isola of modulational instability of Stokes waves in deep water.; 2024. Available from: https://arxiv.org/pdf/2401.14689
Berti M, Langella B, Silimbani D. Time periodic solutions of completely resonant Klein-Gordon equations on $\mathbbS^3$. Ann. Inst. H. Poincaré C Anal. Non Linéaire . 2024 .
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, Marchal O. The partition function of the two-matrix model as an isomonodromic τ function. J. Math. Phys. [Internet]. 2009 ;50:013529, 17. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1063/1.3054865
Bertola M. Two-matrix model with semiclassical potentials and extended Whitham hierarchy. J. Phys. A. 2006 ;39:8823–8855.
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, 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
Bertola M, Gorini V, Moschella U, Schaeffer R. Correspondence between Minkowski and de Sitter quantum field theory. Phys. Lett. B. 1999 ;462:249–253.
Bertola M, Giavedoni P. A degeneration of two-phase solutions of the focusing nonlinear Schrödinger equation via Riemann-Hilbert problems. J. Math. Phys. [Internet]. 2015 ;56:061507, 17. Available from: http://dx.doi.org/10.1063/1.4922362
Bertola M, Lee SY. First colonization of a spectral outpost in random matrix theory. Constr. Approx. [Internet]. 2009 ;30:225–263. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1007/s00365-008-9026-y
Bertola M. Biorthogonal polynomials for two-matrix models with semiclassical potentials. J. Approx. Theory. 2007 ;144:162–212.
Bertola M, Katsevich A, Tovbis A. Inversion formulae for the $\romancosh$-weighted Hilbert transform. Proc. Amer. Math. Soc. [Internet]. 2013 ;141:2703–2718. Available from: http://dx.doi.org/10.1090/S0002-9939-2013-11642-4
Bertola M. Free energy of the two-matrix model/dToda tau-function. Nuclear Phys. B. 2003 ;669:435–461.
Bertola M. Boutroux curves with external field: equilibrium measures without a variational problem. Anal. Math. Phys. [Internet]. 2011 ;1:167–211. Available from: http://dx.doi.org/10.1007/s13324-011-0012-3

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