Bertola M, Korotkin DA. Discriminant circle bundles over local models of Strebel graphs and Boutroux curves. Teoret. Mat. Fiz. [Internet]. 2018  ;197:163?207. Available from: https://doi.org/10.4213/tmf9513

Bertola M, Cafasso M, Rubtsov V. Noncommutative Painlevé Equations and Systems of Calogero Type. Comm. Math. Phys. 2018  .

Bertola M, Elias Rebelo JG, Grava T. Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane. Symmetry, Integrability and Geometry. Methods and Applications. 2018  ;14.

Bertola M, Cafasso M. The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes' phenomenon. Comm. Math. Phys [Internet]. 2017  ;DOI 10.1007/s00220-017-2856-3. Available from: http://arxiv.org/abs/1603.06420

Bertola M. The Malgrange form and Fredholm determinants. SIGMA Symmetry Integrability Geom. Methods Appl. [Internet]. 2017  ;13:Paper No. 046, 12. Available from: http://dx.doi.org/10.3842/SIGMA.2017.046

Bertola M, Tovbis A. Maximal amplitudes of finite-gap solutions for the focusing Nonlinear Schrödinger Equation. Comm. Math. Phys. [Internet]. 2017  ;354:525?547. Available from: http://dx.doi.org/10.1007/s00220-017-2895-9

Bertola M, Korotkin D, Norton C. Symplectic geometry of the moduli space of projective structures in homological coordinates. Inventiones Mathematicae [Internet]. 2017  :1?56. Available from: https://arxiv.org/abs/1506.07918

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

Tikan A, Billet C, El G, Tovbis A, Bertola M, Sylvestre T, Gustave F, Randoux S, Genty G, Suret P, et al. Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation. Phys. Rev. Lett. [Internet]. 2017  ;119:033901. Available from: https://link.aps.org/doi/10.1103/PhysRevLett.119.033901

Bertola M, Tovbis A. On asymptotic regimes of orthogonal polynomials with complex varying quartic exponential weight. SIGMA Symmetry Integrability Geom. Methods Appl. [Internet]. 2016  ;12:Paper No. 118, 50 pages. Available from: http://dx.doi.org/10.3842/SIGMA.2016.118

Bertola M, Dubrovin B, Yang D. Correlation functions of the KdV hierarchy and applications to intersection numbers over $\overline\CalM_g,n$. Phys. D [Internet]. 2016  ;327:30?57. Available from: http://dx.doi.org/10.1016/j.physd.2016.04.008

Bertola M. CORRIGENDUM: The dependence on the monodromy data of the isomonodromic tau function.  [Internet]. 2016  . Available from: http://arxiv.org/abs/1601.04790

Balogh F, Bertola M, Bothner T. Hankel determinant approach to generalized Vorob'ev-Yablonski polynomials and their roots. Constr. Approx. [Internet]. 2016  ;44:417?453. Available from: http://dx.doi.org/10.1007/s00365-016-9328-4

Bertola M, El G, Tovbis A. Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Proc. A. [Internet]. 2016  ;472:20160340, 12. Available from: http://dx.doi.org/10.1098/rspa.2016.0340

Bertola M, Dubrovin B, Yang D. Simple Lie Algebras and Topological ODEs. Int. Math. Res. Not. 2016  ;2016.

Bertola M, Katsevich A, Tovbis A. On Sobolev instability of the interior problem of tomography. Journal of Mathematical Analysis and Applications. 2016  .

Bertola M, Tovbis A. Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation. Constr. Approx. [Internet]. 2015  ;41:529?587. Available from: http://dx.doi.org/10.1007/s00365-015-9288-0

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, Tovbis A. Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves. Anal. Math. Phys. [Internet]. 2015  ;5:1?22. Available from: http://dx.doi.org/10.1007/s13324-014-0088-7

Bertola M, Yang D. The partition function of the extended $r$-reduced Kadomtsev-Petviashvili hierarchy. J. Phys. A [Internet]. 2015  ;48:195205, 20. Available from: http://dx.doi.org/10.1088/1751-8113/48/19/195205

Balogh F, Bertola M, Lee S-Y, McLaughlin K. Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane. Comm. Pure Appl. Math. [Internet]. 2015  ;68:112?172. Available from: http://dx.doi.org/10.1002/cpa.21541

Bertola M, Bothner T. Universality Conjecture and Results for a Model of Several Coupled Positive-Definite Matrices. Commun. Math. Phys. [Internet]. 2015  ;337:1077?1141. Available from: http://link.springer.com/article/10.1007/s00220-015-2327-7

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, Cafasso M. Darboux Transformations and Random Point Processes. IMRN. 2014  ;rnu122:56.

Bertola M, Katsevich A, Tovbis A. Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach. Comm. Pure Appl. Math. 2014  .

Bertola M, Bothner T. Zeros of Large Degree Vorob'ev-Yablonski Polynomials via a Hankel Determinant Identity. International Mathematics Research Notices. 2014  ;rnu239.

Bertola M, Cafasso M. The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation. Random Matrices: Theory and Applications [Internet]. 2013  ;02:1350003. Available from: http://www.worldscientific.com/doi/abs/10.1142/S2010326313500032

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, Buckingham R, Lee SY, Pierce V. Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes. J. Stat. Phys. [Internet]. 2013  ;153:654?697. Available from: http://dx.doi.org/10.1007/s10955-013-0845-2

Bertola M, Gekhtman M, Szmigielski J. Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model. J. Math. Phys. 2013  ;54:043517, 25.

Bertola M, Tovbis A. Universality for the focusing nonlinear Schrödinger equation at the gradient catastrophe point: rational breathers and poles of the \it Tritronquée solution to Painlevé I. Comm. Pure Appl. Math. [Internet]. 2013  ;66:678?752. Available from: http://dx.doi.org/10.1002/cpa.21445

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. On the location of poles for the Ablowitz-Segur family of solutions to the second Painlevé equation. Nonlinearity [Internet]. 2012  ;25:1179?1185. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1088/0951-7715/25/4/1179

Bertola M, Cafasso M. Riemann?Hilbert approach to multi-time processes: The Airy and the Pearcey cases. Physica D: Nonlinear Phenomena [Internet]. 2012  ;241:2237 - 2245. Available from: http://www.sciencedirect.com/science/article/pii/S0167278912000115

Bertola M, Buckingham R, Lee SY, Pierce V. Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes. J. Stat. Phys. [Internet]. 2012  ;146:475?518. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1007/s10955-011-0409-2

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

Bertola M, Cafasso M. The Transition between the Gap Probabilities from the Pearcey to the Airy Process?a Riemann-Hilbert Approach. International Mathematics Research Notices. 2011  ;doi: 10.1093/imrn/rnr066:1-50.

Bertola M, Gekhtman M, Szmigielski J. Cauchy biorthogonal polynomials. J. Approx. Theory [Internet]. 2010  ;162:832?867. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1016/j.jat.2009.09.008

Bertola M. The dependence on the monodromy data of the isomonodromic tau function. Comm. Math. Phys. [Internet]. 2010  ;294:539?579. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1007/s00220-009-0961-7

Bertola M, Lee SY. First colonization of a hard-edge in random matrix theory. Constr. Approx. [Internet]. 2010  ;31:231?257. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1007/s00365-009-9052-4

Bertola M, Tovbis A. Universality in the profile of the semiclassical limit solutions to the focusing nonlinear Schrödinger equation at the first breaking curve. Int. Math. Res. Not. IMRN [Internet]. 2010  :2119?2167. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1093/imrn/rnp196

Bertola M, Gekhtman M, Szmigielski J. The Cauchy two?matrix model. Comm. Math. Phys. 2009  ;287:983?1014.

Bertola M, Mo MY. Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights. Adv. Math. 2009  ;220:154?218.

Bertola M, Gekhtman M, Szmigielski J. Cubic string boundary value problems and Cauchy biorthogonal polynomials. J. Phys. A [Internet]. 2009  ;42:454006, 13. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1088/1751-8113/42/45/454006

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, Lee SY, Mo MY. Mesoscopic colonization in a spectral band. J. Phys. A [Internet]. 2009  ;42:415204, 17. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1088/1751-8113/42/41/415204

Bertola M. Moment determinants as isomonodromic tau functions. Nonlinearity. 2009  ;22:29?50.

Bertola M, Marchal O. The partition function of the two-matrix model as an isomonodromic ? function. J. Math. Phys. [Internet]. 2009  ;50:013529, 17. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1063/1.3054865

Balogh F, Bertola M. Regularity of a vector potential problem and its spectral curve. J. Approx. Theory [Internet]. 2009  ;161:353?370. Available from: http://0-dx.doi.org.mercury.concordia.ca/10.1016/j.jat.2008.10.010

Bertola M, A. Ferrer P. Topological expansion for the Cauchy two-matrix model. J. Phys. A [Internet]. 2009  ;42:335201, 28. Available from: http://dx.doi.org/10.1088/1751-8113/42/33/335201

Bertola M, Ferrer APrats. Harish-Chandra integrals as nilpotent integrals. Int. Math. Res. Not. IMRN. 2008  :Art. ID rnn062, 15.

Bertola M, Gekhtman M. Biorthogonal Laurent polynomials, Töplitz determinants, minimal Toda orbits and isomonodromic tau functions. Constr. Approx. 2007  ;26:383?430.

Bertola M. Biorthogonal polynomials for two-matrix models with semiclassical potentials. J. Approx. Theory. 2007  ;144:162?212.

Bertola M, Gekhtman M. Effective inverse spectral problem for rational Lax matrices and applications. Int. Math. Res. Not. IMRN. 2007  :Art. ID rnm103, 39.

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, Eynard B. The PDEs of biorthogonal polynomials arising in the two-matrix model. Math. Phys. Anal. Geom. 2006  ;9:23?52.

Bertola M, Eynard B, Harnad J. Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Comm. Math. Phys. 2006  ;263:401?437.

Bertola M. Two-matrix model with semiclassical potentials and extended Whitham hierarchy. J. Phys. A. 2006  ;39:8823?8855.

Bertola M, Mo MY. Isomonodromic deformation of resonant rational connections. IMRP Int. Math. Res. Pap. 2005  :565?635.

Bertola M. Bilinear semiclassical moment functionals and their integral representation. J. Approx. Theory. 2003  ;121:71?99.

Bertola M, Eynard B, Harnad J. Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem. Comm. Math. Phys. 2003  ;243:193?240.

Bertola M, Eynard B, Kharnad D. The duality of spectral curves that arises in two-matrix models. Teoret. Mat. Fiz. 2003  ;134:32?45.

Bertola M. Free energy of the two-matrix model/dToda tau-function. Nuclear Phys. B. 2003  ;669:435?461.

Bertola M, Eynard B. Mixed correlation functions of the two-matrix model. J. Phys. A. 2003  ;36:7733?7750.

Bertola M, Eynard B, Harnad J. Partition functions for matrix models and isomonodromic tau functions. J. Phys. A. 2003  ;36:3067?3083.

Bertola M. Second and third order observables of the two-matrix model. J. High Energy Phys. 2003  :062, 30 pp. (electronic).

de Guise H, Bertola M. Coherent state realizations of $\rm su(n+1)$ on the $n$-torus. J. Math. Phys. 2002  ;43:3425?3444.

Bertola M, Eynard B, Harnad J. Duality, biorthogonal polynomials and multi-matrix models. Comm. Math. Phys. 2002  ;229:73?120.

Bertola M. Jacobi groups, Jacobi forms and their applications. In: Isomonodromic deformations and applications in physics (Montréal, QC, 2000). Vol. 31. Isomonodromic deformations and applications in physics (Montréal, QC, 2000). Providence, RI: Amer. Math. Soc.; 2002. pp. 99?111.

Bertola M, Gouthier D. Lie triple systems and warped products. Rend. Mat. Appl. (7). 2001  ;21:275?293.

Bertola M, Gouthier D. Warped products with special Riemannian curvature. Bol. Soc. Brasil. Mat. (N.S.). 2001  ;32:45?62.

Bertola M, Bros J, Gorini V, Moschella U, Schaeffer R. Decomposing quantum fields on branes. Nuclear Phys. B. 2000  ;581:575?603.

Bertola M. Frobenius manifold structure on orbit space of Jacobi groups. I. Differential Geom. Appl. 2000  ;13:19?41.

Bertola M. Frobenius manifold structure on orbit space of Jacobi groups. II. Differential Geom. Appl. 2000  ;13:213?233.

Bertola M, Bros J, Moschella U, Schaeffer R. A general construction of conformal field theories from scalar anti-de Sitter quantum field theories. Nuclear Phys. B. 2000  ;587:619?644.

Bertola M, Gorini V, Moschella U, Schaeffer R. Correspondence between Minkowski and de Sitter quantum field theory. Phys. Lett. B. 1999  ;462:249?253.

Schaeffer R, Moschella U, Bertola M, Gorini V. Generation of primordial fluctuations in curved spaces. Gravit. Cosmol. 1998  ;4:121?127.