Edit Profile (opens in new tab) Bertola, Marco Compute Distance To: Compute Author ID: bertola.marco Published as: Bertola, M.; Bertola, Marco External Links: ORCID · dblp Documents Indexed: 91 Publications since 1998 Co-Authors: 36 Co-Authors with 74 Joint Publications 518 Co-Co-Authors all top 5 Co-Authors 16 single-authored 12 Tovbis, Alexander 8 Cafasso, Mattia 7 Eynard, Bertrand 7 Gekhtman, Mikhaèl I. 7 Harnad, John 6 Korotkin, Dmitrii A. 6 Lee, Seung-Yeop 5 Katsevich, Alexander I. 5 Moschella, Ugo 5 Szmigielski, Jacek 4 Schaeffer, Richard 4 Yang, Di 3 Balogh, Ferenc N. 3 Bothner, Thomas 3 Dubrovin, Boris Anatol’evich 3 Gorini, Vittorio 3 Mo, Man Yue 2 Bros, Jacques 2 Buckingham, Robert J. 2 Ferrer, Aleix Prats 2 Gouthier, Daniele 2 Pierce, Virgil U. 2 Ruzza, Giulio 1 Blackstone, Elliot J. 1 Corbetta, Francesco 1 de Guise, Hubert 1 El, Gennady A. 1 Elias Rebelo, José Gustavo 1 Giavedoni, Pietro 1 Grava, Tamara 1 McLaughlin, Kenneth D. T.-R. 1 Mobasheramini, Fatane 1 Norton, Chaya 1 Rubtsov, Vladimir Nikolaevich 1 Runov, Boris A. 1 Tarricone, Sofia all top 5 Serials 15 Communications in Mathematical Physics 8 IMRN. International Mathematics Research Notices 5 Journal of Mathematical Physics 5 Journal of Approximation Theory 5 Constructive Approximation 5 Analysis and Mathematical Physics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Physics A: Mathematical and Theoretical 3 Communications on Pure and Applied Mathematics 3 Nuclear Physics. B 3 Theoretical and Mathematical Physics 3 Journal of Physics A: Mathematical and General 2 Journal of Statistical Physics 2 Nonlinearity 2 Physica D 2 Differential Geometry and its Applications 2 Random Matrices: Theory and Applications 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. B 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Proceedings of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Mathematical Physics, Analysis and Geometry 1 Annales Henri Poincaré 1 Gravitation & Cosmology 1 Moscow Mathematical Journal 1 IMRP. International Mathematics Research Papers 1 Communications in Number Theory and Physics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 19 Ordinary differential equations (34-XX) 18 Special functions (33-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Quantum theory (81-XX) 15 Partial differential equations (35-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 10 Algebraic geometry (14-XX) 9 Differential geometry (53-XX) 9 Probability theory and stochastic processes (60-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Functions of a complex variable (30-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Integral transforms, operational calculus (44-XX) 7 Operator theory (47-XX) 6 Relativity and gravitational theory (83-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Approximations and expansions (41-XX) 3 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 755 times in 421 Documents Cited by ▼ Year ▼ Universality for the focusing nonlinear Schrödinger equation at the gradient catastrophe point: Rational breathers and poles of the tritronquée solution to Painlevé I. Zbl 1355.35169Bertola, Marco; Tovbis, Alexander 34 2013 Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015Bertola, M.; Eynard, B.; Harnad, J. 30 2002 The Cauchy two-matrix model. Zbl 1197.82037Bertola, M.; Gekhtman, M.; Szmigielski, J. 26 2009 Cauchy biorthogonal polynomials. Zbl 1202.33012Bertola, M.; Gekhtman, M.; Szmigielski, J. 25 2010 Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306Bertola, M.; Eynard, B.; Harnad, J. 25 2006 The dependence on the monodromy data of the isomonodromic tau function. Zbl 1218.37099Bertola, M. 24 2010 Cauchy-Laguerre two-matrix model and the Meijer-\(G\) random point field. Zbl 1303.82018Bertola, M.; Gekhtman, M.; Szmigielski, J. 24 2014 The transition between the gap probabilities from the Pearcey to the Airy process – a Riemann-Hilbert approach. Zbl 1251.60005Bertola, M.; Cafasso, M. 24 2012 Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098Bertola, M.; Eynard, B.; Harnad, J. 22 2003 Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights. Zbl 1153.39027Bertola, M.; Mo, M. Y. 21 2009 Boutroux curves with external field: equilibrium measures without a variational problem. Zbl 1259.33021Bertola, M. 20 2011 Correlation functions of the KdV hierarchy and applications to intersection numbers over \(\overline{\mathcal{M}}_{g, n}\). Zbl 1373.37153Bertola, Marco; Dubrovin, Boris; Yang, Di 18 2016 Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032Bertola, M.; Eynard, B.; Harnad, J. 17 2003 Frobenius manifold structure on orbit space of Jacobi groups. I. Zbl 1033.11020Bertola, Marco 15 2000 Riemann-Hilbert approach to multi-time processes: the Airy and the Pearcey cases. Zbl 1278.60082Bertola, M.; Cafasso, M. 15 2012 Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane. Zbl 1308.42025Balogh, Ferenc; Bertola, Marco; Lee, Seung-Yeop; McLaughlin, Kenneth D. T-R 14 2015 Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation. Zbl 1320.33029Bertola, M.; Tovbis, A. 14 2015 First colonization of a spectral outpost in random matrix theory. Zbl 1169.05385Bertola, M.; Lee, S. Y. 14 2009 Zeros of large degree Vorobév-Yablonski polynomials via a Hankel determinant identity. Zbl 1328.35196Bertola, Marco; Bothner, Thomas 14 2015 Universality conjecture and results for a model of several coupled positive-definite matrices. Zbl 1318.15018Bertola, Marco; Bothner, Thomas 12 2015 Jacobi groups, Jacobi forms and their applications. Zbl 1027.11030Bertola, Marco 12 2002 On the location of poles for the Ablowitz-Segur family of solutions to the second Painlevé equation. Zbl 1254.34123Bertola, M. 12 2012 Regularity of a vector potential problem and its spectral curve. Zbl 1190.42009Balogh, F.; Bertola, M. 11 2009 Biorthogonal polynomials for two-matrix models with semiclassical potentials. Zbl 1213.42088Bertola, M. 11 2007 Frobenius manifold structure on orbit space of Jacobi groups. II. Zbl 1033.11021Bertola, Marco 11 2000 Symplectic geometry of the moduli space of projective structures in homological coordinates. Zbl 1432.53121Bertola, Marco; Korotkin, Dmitry; Norton, Chaya 11 2017 Biorthogonal Laurent polynomials, toplitz determinants, minimal Toda orbits and isomonodromic tau functions. Zbl 1149.42012Bertola, M.; Gekhtman, M. 10 2007 The partition function of the extended \({r}\)-reduced Kadomtsev-Petviashvili hierarchy. Zbl 1317.37067Bertola, Marco; Yang, Di 9 2015 Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes. Zbl 1302.82049Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V. 9 2013 Bilinear semiclassical moment functionals and their integral representation. Zbl 1020.44009Bertola, Marco 9 2003 Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. Zbl 1234.35171Bertola, M.; Cafasso, M. 9 2012 Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes. Zbl 1241.82035Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V. 9 2012 A general construction of conformal field theories from scalar anti-de Sitter quantum field theories. Zbl 1043.81680Bertola, Marco; Bros, Jacques; Moschella, Ugo; Schaeffer, Richard 9 2000 Simple Lie algebras and topological ODEs. Zbl 1406.17016Bertola, Marco; Dubrovin, Boris; Yang, Di 9 2018 Maximal amplitudes of finite-gap solutions for the focusing nonlinear Schrödinger equation. Zbl 1391.35348Bertola, M.; Tovbis, A. 9 2017 Universality in the profile of the semiclassical limit solutions to the focusing nonlinear Schrödinger equation at the first breaking curve. Zbl 1202.35295Bertola, Marco; Tovbis, Alexander 8 2010 Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model. Zbl 1292.33009Bertola, M.; Gekhtman, M.; Szmigielski, J. 8 2013 Free energy of the two-matrix model/dToda tau-function. Zbl 1031.81039Bertola, M. 8 2003 Duality of spectral curves arising in two-matrix models. Zbl 1068.81044Bertola, M.; Eynard, B.; Harnad, J. 8 2003 Hankel determinant approach to generalized Vorob’ev-Yablonski polynomials and their roots. Zbl 1376.34073Balogh, Ferenc; Bertola, Marco; Bothner, Thomas 8 2016 Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Zbl 1371.35268Bertola, Marco; El, Gennady A.; Tovbis, Alexander 8 2016 Cubic string boundary value problems and Cauchy biorthogonal polynomials. Zbl 1175.42009Bertola, M.; Gekhtman, M.; Szmigielski, J. 7 2009 Moment determinants as isomonodromic tau functions. Zbl 1198.05150Bertola, M. 7 2009 Decomposing quantum fields on branes. Zbl 0984.81095Bertola, Marco; Bros, Jacques; Gorini, Vittorio; Moschella, Ugo; Schaeffer, Richard 7 2000 Lie triple systems and warped products. Zbl 1057.53020Bertola, M.; Gouthier, D. 7 2001 Two-matrix models and biorthogonal polynomials. Zbl 1237.81111Bertola, M. 6 2011 First colonization of a hard-edge in random matrix theory. Zbl 1250.05123Bertola, M.; Lee, S. Y. 6 2010 The PDEs of biorthogonal polynomials arising in the two-matrix model. Zbl 1107.33011Bertola, Marco; Eynard, Bertrand 6 2006 Singular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann-Hilbert problem approach. Zbl 1348.44003Bertola, Marco; Katsevich, Alexander; Tovbis, Alexander 6 2016 The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation. Zbl 1274.60154Bertola, M.; Cafasso, M. 6 2013 Darboux transformations and random point processes. Zbl 1333.60097Bertola, Marco; Cafasso, Mattia 6 2015 Noncommutative Painlevé equations and systems of Calogero type. Zbl 1402.34092Bertola, M.; Cafasso, M.; Rubtsov, V. 6 2018 Warped products with special Riemannian curvature. Zbl 1107.53025Bertola, Marco; Gouthier, Daniele 5 2001 Mixed correlation functions of the two-matrix model. Zbl 1057.81060Bertola, M.; Eynard, B. 5 2003 Painlevé IV critical asymptotics for orthogonal polynomials in the complex plane. Zbl 1400.33008Bertola, Marco; Elias Rebelo, José Gustavo; Grava, Tamara 5 2018 The Kontsevich-Penner matrix integral, isomonodromic tau functions and open intersection numbers. Zbl 07023773Bertola, Marco; Ruzza, Giulio 5 2019 Rationally weighted Hurwitz numbers, Meijer \(G\)-functions and matrix integrals. Zbl 1429.81029Bertola, M.; Harnad, J. 5 2019 Brezin-Gross-Witten tau function and isomonodromic deformations. Zbl 1427.14030Bertola, Marco; Ruzza, Giulio 5 2019 Isomonodromic deformation of resonant rational connections. Zbl 1113.34063Bertola, M.; Mo, M. Y. 4 2005 Generating weighted Hurwitz numbers. Zbl 1441.14118Bertola, M.; Harnad, J.; Runov, B. 4 2020 Massless scalar field in a two-dimensional de Sitter universe. Zbl 1166.81351Bertola, Marco; Corbetta, Francesco; Moschella, Ugo 4 2007 The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes’ phenomenon. Zbl 1364.30044Bertola, M.; Cafasso, M. 4 2017 Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves. Zbl 1309.30036Bertola, M.; Tovbis, A. 3 2015 On Sobolev instability of the interior problem of tomography. Zbl 1381.44005Bertola, M.; Katsevich, A.; Tovbis, A. 3 2016 Two-matrix model with semiclassical potentials and extended Whitham hierarchy. Zbl 1102.81059Bertola, M. 2 2006 Topological expansion for the Cauchy two-matrix model. Zbl 1182.82001Bertola, M.; Ferrer, A. Prats 2 2009 A degeneration of two-phase solutions of the focusing nonlinear Schrödinger equation via Riemann-Hilbert problems. Zbl 1320.35319Bertola, Marco; Giavedoni, Pietro 2 2015 Correspondence between Minkowski and de Sitter quantum field theory. Zbl 0987.81527Bertola, Marco; Gorini, Vittorio; Moschella, Ugo; Schaeffer, Richard 2 1999 On asymptotic regimes of orthogonal polynomials with complex varying quartic exponential weight. Zbl 1355.33021Bertola, Marco; Tovbis, Alexander 2 2016 Hodge and Prym tau functions, Strebel differentials and combinatorial model of \({\mathcal{M}}_{g,n} \). Zbl 1447.30003Bertola, M.; Korotkin, D. 2 2020 The Malgrange form and Fredholm determinants. Zbl 1374.35274Bertola, Marco 2 2017 Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data. Zbl 1434.35148Bertola, M.; Minakov, A. 2 2019 Correction to: “The dependence on the monodromy data of the isomonodromic tau function”. Zbl 1473.37087Bertola, Marco 2 2021 Padé approximants on Riemann surfaces and KP tau functions. Zbl 1478.37074Bertola, Marco 1 2021 Coherent state realizations of \(\text{su}(n+1)\) on the \(n\)-torus. Zbl 1060.81537de Guise, Hubert; Bertola, Marco 1 2002 Mesoscopic colonization of a spectral band. Zbl 1179.81070Bertola, M.; Lee, S. Y.; Mo, M. Y. 1 2009 Inversion formulae for the cosh-weighted Hilbert transform. Zbl 1279.44003Bertola, M.; Katsevich, A.; Tovbis, A. 1 2013 Effective inverse spectral problem for rational Lax matrices and applications. Zbl 1133.37028Bertola, M.; Gekhtman, M. 1 2007 WKB expansion for a Yang-Yang generating function and the Bergman tau function. Zbl 07364268Bertola, M.; Korotkin, D. A. 1 2021 Discriminant circle bundles over local models of Strebel graphs and Boutroux curves. Zbl 1411.30029Bertola, M.; Korotkin, D. A. 1 2018 Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles. Zbl 1378.60022Bertola, M.; Cafasso, M. 1 2017 Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform. Zbl 1446.44003Katsevich, Alexander; Bertola, Marco; Tovbis, Alexander 1 2019 Correction to: “The dependence on the monodromy data of the isomonodromic tau function”. Zbl 1473.37087Bertola, Marco 2 2021 Padé approximants on Riemann surfaces and KP tau functions. Zbl 1478.37074Bertola, Marco 1 2021 WKB expansion for a Yang-Yang generating function and the Bergman tau function. Zbl 07364268Bertola, M.; Korotkin, D. A. 1 2021 Generating weighted Hurwitz numbers. Zbl 1441.14118Bertola, M.; Harnad, J.; Runov, B. 4 2020 Hodge and Prym tau functions, Strebel differentials and combinatorial model of \({\mathcal{M}}_{g,n} \). Zbl 1447.30003Bertola, M.; Korotkin, D. 2 2020 The Kontsevich-Penner matrix integral, isomonodromic tau functions and open intersection numbers. Zbl 07023773Bertola, Marco; Ruzza, Giulio 5 2019 Rationally weighted Hurwitz numbers, Meijer \(G\)-functions and matrix integrals. Zbl 1429.81029Bertola, M.; Harnad, J. 5 2019 Brezin-Gross-Witten tau function and isomonodromic deformations. Zbl 1427.14030Bertola, Marco; Ruzza, Giulio 5 2019 Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data. Zbl 1434.35148Bertola, M.; Minakov, A. 2 2019 Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform. Zbl 1446.44003Katsevich, Alexander; Bertola, Marco; Tovbis, Alexander 1 2019 Simple Lie algebras and topological ODEs. Zbl 1406.17016Bertola, Marco; Dubrovin, Boris; Yang, Di 9 2018 Noncommutative Painlevé equations and systems of Calogero type. Zbl 1402.34092Bertola, M.; Cafasso, M.; Rubtsov, V. 6 2018 Painlevé IV critical asymptotics for orthogonal polynomials in the complex plane. Zbl 1400.33008Bertola, Marco; Elias Rebelo, José Gustavo; Grava, Tamara 5 2018 Discriminant circle bundles over local models of Strebel graphs and Boutroux curves. Zbl 1411.30029Bertola, M.; Korotkin, D. A. 1 2018 Symplectic geometry of the moduli space of projective structures in homological coordinates. Zbl 1432.53121Bertola, Marco; Korotkin, Dmitry; Norton, Chaya 11 2017 Maximal amplitudes of finite-gap solutions for the focusing nonlinear Schrödinger equation. Zbl 1391.35348Bertola, M.; Tovbis, A. 9 2017 The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes’ phenomenon. Zbl 1364.30044Bertola, M.; Cafasso, M. 4 2017 The Malgrange form and Fredholm determinants. Zbl 1374.35274Bertola, Marco 2 2017 Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles. Zbl 1378.60022Bertola, M.; Cafasso, M. 1 2017 Correlation functions of the KdV hierarchy and applications to intersection numbers over \(\overline{\mathcal{M}}_{g, n}\). Zbl 1373.37153Bertola, Marco; Dubrovin, Boris; Yang, Di 18 2016 Hankel determinant approach to generalized Vorob’ev-Yablonski polynomials and their roots. Zbl 1376.34073Balogh, Ferenc; Bertola, Marco; Bothner, Thomas 8 2016 Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Zbl 1371.35268Bertola, Marco; El, Gennady A.; Tovbis, Alexander 8 2016 Singular value decomposition of a finite Hilbert transform defined on several intervals and the interior problem of tomography: the Riemann-Hilbert problem approach. Zbl 1348.44003Bertola, Marco; Katsevich, Alexander; Tovbis, Alexander 6 2016 On Sobolev instability of the interior problem of tomography. Zbl 1381.44005Bertola, M.; Katsevich, A.; Tovbis, A. 3 2016 On asymptotic regimes of orthogonal polynomials with complex varying quartic exponential weight. Zbl 1355.33021Bertola, Marco; Tovbis, Alexander 2 2016 Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane. Zbl 1308.42025Balogh, Ferenc; Bertola, Marco; Lee, Seung-Yeop; McLaughlin, Kenneth D. T-R 14 2015 Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation. Zbl 1320.33029Bertola, M.; Tovbis, A. 14 2015 Zeros of large degree Vorobév-Yablonski polynomials via a Hankel determinant identity. Zbl 1328.35196Bertola, Marco; Bothner, Thomas 14 2015 Universality conjecture and results for a model of several coupled positive-definite matrices. Zbl 1318.15018Bertola, Marco; Bothner, Thomas 12 2015 The partition function of the extended \({r}\)-reduced Kadomtsev-Petviashvili hierarchy. Zbl 1317.37067Bertola, Marco; Yang, Di 9 2015 Darboux transformations and random point processes. Zbl 1333.60097Bertola, Marco; Cafasso, Mattia 6 2015 Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves. Zbl 1309.30036Bertola, M.; Tovbis, A. 3 2015 A degeneration of two-phase solutions of the focusing nonlinear Schrödinger equation via Riemann-Hilbert problems. Zbl 1320.35319Bertola, Marco; Giavedoni, Pietro 2 2015 Cauchy-Laguerre two-matrix model and the Meijer-\(G\) random point field. Zbl 1303.82018Bertola, M.; Gekhtman, M.; Szmigielski, J. 24 2014 Universality for the focusing nonlinear Schrödinger equation at the gradient catastrophe point: Rational breathers and poles of the tritronquée solution to Painlevé I. Zbl 1355.35169Bertola, Marco; Tovbis, Alexander 34 2013 Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes. Zbl 1302.82049Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V. 9 2013 Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model. Zbl 1292.33009Bertola, M.; Gekhtman, M.; Szmigielski, J. 8 2013 The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation. Zbl 1274.60154Bertola, M.; Cafasso, M. 6 2013 Inversion formulae for the cosh-weighted Hilbert transform. Zbl 1279.44003Bertola, M.; Katsevich, A.; Tovbis, A. 1 2013 The transition between the gap probabilities from the Pearcey to the Airy process – a Riemann-Hilbert approach. Zbl 1251.60005Bertola, M.; Cafasso, M. 24 2012 Riemann-Hilbert approach to multi-time processes: the Airy and the Pearcey cases. Zbl 1278.60082Bertola, M.; Cafasso, M. 15 2012 On the location of poles for the Ablowitz-Segur family of solutions to the second Painlevé equation. Zbl 1254.34123Bertola, M. 12 2012 Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. Zbl 1234.35171Bertola, M.; Cafasso, M. 9 2012 Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes. Zbl 1241.82035Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V. 9 2012 Boutroux curves with external field: equilibrium measures without a variational problem. Zbl 1259.33021Bertola, M. 20 2011 Two-matrix models and biorthogonal polynomials. Zbl 1237.81111Bertola, M. 6 2011 Cauchy biorthogonal polynomials. Zbl 1202.33012Bertola, M.; Gekhtman, M.; Szmigielski, J. 25 2010 The dependence on the monodromy data of the isomonodromic tau function. Zbl 1218.37099Bertola, M. 24 2010 Universality in the profile of the semiclassical limit solutions to the focusing nonlinear Schrödinger equation at the first breaking curve. Zbl 1202.35295Bertola, Marco; Tovbis, Alexander 8 2010 First colonization of a hard-edge in random matrix theory. Zbl 1250.05123Bertola, M.; Lee, S. Y. 6 2010 The Cauchy two-matrix model. Zbl 1197.82037Bertola, M.; Gekhtman, M.; Szmigielski, J. 26 2009 Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights. Zbl 1153.39027Bertola, M.; Mo, M. Y. 21 2009 First colonization of a spectral outpost in random matrix theory. Zbl 1169.05385Bertola, M.; Lee, S. Y. 14 2009 Regularity of a vector potential problem and its spectral curve. Zbl 1190.42009Balogh, F.; Bertola, M. 11 2009 Cubic string boundary value problems and Cauchy biorthogonal polynomials. Zbl 1175.42009Bertola, M.; Gekhtman, M.; Szmigielski, J. 7 2009 Moment determinants as isomonodromic tau functions. Zbl 1198.05150Bertola, M. 7 2009 Topological expansion for the Cauchy two-matrix model. Zbl 1182.82001Bertola, M.; Ferrer, A. Prats 2 2009 Mesoscopic colonization of a spectral band. Zbl 1179.81070Bertola, M.; Lee, S. Y.; Mo, M. Y. 1 2009 Biorthogonal polynomials for two-matrix models with semiclassical potentials. Zbl 1213.42088Bertola, M. 11 2007 Biorthogonal Laurent polynomials, toplitz determinants, minimal Toda orbits and isomonodromic tau functions. Zbl 1149.42012Bertola, M.; Gekhtman, M. 10 2007 Massless scalar field in a two-dimensional de Sitter universe. Zbl 1166.81351Bertola, Marco; Corbetta, Francesco; Moschella, Ugo 4 2007 Effective inverse spectral problem for rational Lax matrices and applications. Zbl 1133.37028Bertola, M.; Gekhtman, M. 1 2007 Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306Bertola, M.; Eynard, B.; Harnad, J. 25 2006 The PDEs of biorthogonal polynomials arising in the two-matrix model. Zbl 1107.33011Bertola, Marco; Eynard, Bertrand 6 2006 Two-matrix model with semiclassical potentials and extended Whitham hierarchy. Zbl 1102.81059Bertola, M. 2 2006 Isomonodromic deformation of resonant rational connections. Zbl 1113.34063Bertola, M.; Mo, M. Y. 4 2005 Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098Bertola, M.; Eynard, B.; Harnad, J. 22 2003 Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032Bertola, M.; Eynard, B.; Harnad, J. 17 2003 Bilinear semiclassical moment functionals and their integral representation. Zbl 1020.44009Bertola, Marco 9 2003 Free energy of the two-matrix model/dToda tau-function. Zbl 1031.81039Bertola, M. 8 2003 Duality of spectral curves arising in two-matrix models. Zbl 1068.81044Bertola, M.; Eynard, B.; Harnad, J. 8 2003 Mixed correlation functions of the two-matrix model. Zbl 1057.81060Bertola, M.; Eynard, B. 5 2003 Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015Bertola, M.; Eynard, B.; Harnad, J. 30 2002 Jacobi groups, Jacobi forms and their applications. Zbl 1027.11030Bertola, Marco 12 2002 Coherent state realizations of \(\text{su}(n+1)\) on the \(n\)-torus. Zbl 1060.81537de Guise, Hubert; Bertola, Marco 1 2002 Lie triple systems and warped products. Zbl 1057.53020Bertola, M.; Gouthier, D. 7 2001 Warped products with special Riemannian curvature. Zbl 1107.53025Bertola, Marco; Gouthier, Daniele 5 2001 Frobenius manifold structure on orbit space of Jacobi groups. I. Zbl 1033.11020Bertola, Marco 15 2000 Frobenius manifold structure on orbit space of Jacobi groups. II. Zbl 1033.11021Bertola, Marco 11 2000 A general construction of conformal field theories from scalar anti-de Sitter quantum field theories. Zbl 1043.81680Bertola, Marco; Bros, Jacques; Moschella, Ugo; Schaeffer, Richard 9 2000 Decomposing quantum fields on branes. Zbl 0984.81095Bertola, Marco; Bros, Jacques; Gorini, Vittorio; Moschella, Ugo; Schaeffer, Richard 7 2000 Correspondence between Minkowski and de Sitter quantum field theory. Zbl 0987.81527Bertola, Marco; Gorini, Vittorio; Moschella, Ugo; Schaeffer, Richard 2 1999 all cited Publications top 5 cited Publications all top 5 Cited by 458 Authors 53 Bertola, Marco 20 Kuijlaars, Arno B. J. 16 Eynard, Bertrand 13 Cafasso, Mattia 13 Korotkin, Dmitrii A. 12 Tovbis, Alexander 9 Dubrovin, Boris Anatol’evich 9 Grava, Tamara 9 Harnad, John 9 Yang, Di 8 Silva, Guilherme L. F. 7 Buckingham, Robert J. 7 Its, Alexander Rudolfovich 7 Lee, Seung-Yeop 7 Martínez-Finkelshtein, Andrei 7 Miller, Peter D. 7 Szmigielski, Jacek 7 Zhang, Lun 6 Akemann, Gernot 6 Bothner, Thomas 6 Chang, Xiangke 6 Claeys, Tom 6 Duits, Maurice 6 Marchal, Olivier 5 Bleher, Pavel M. 5 Deaño, Alfredo 5 Li, Shihao 5 Mo, Man Yue 5 Moschella, Ugo 5 Strahov, Eugene 5 Xu, Shuaixia 4 Balogh, Ferenc N. 4 Charlier, Christophe 4 Chekhov, Leonid O. 4 Chen, Jinbing 4 Forrester, Peter J. 4 Gavrylenko, Pavlo 4 Gekhtman, Mikhaèl I. 4 Katsevich, Alexander I. 4 Klein, Christian 4 López Lagomasino, Guillermo Tomás 4 Masoero, Davide 4 McLaughlin, Kenneth D. T.-R. 4 Okuyama, Kazumi 4 Pelinovsky, Dmitry Efimovich 4 Runov, Boris A. 4 Ruzza, Giulio 4 Sakai, Kazuhiro 4 Strachan, Ian A. B. 4 Teodorescu, Razvan M. 4 Wang, Dong 4 Zotov, Andrei V. 3 Bilman, Deniz 3 Biondini, Gino 3 Chiang, Yuanjen 3 Clarkson, Peter A. 3 Dai, Dan 3 Delvaux, Steven 3 Hardy, Adrien 3 Hu, Xingbiao 3 Kang, Nam-Gyu 3 Karachalios, Nikos I. 3 Kashani-Poor, Amir-Kian 3 Lenells, Jonatan 3 Lisovyy, Oleg 3 Molag, Leslie D. 3 Morozov, Alexei Yurievich 3 Orantin, Nicolas 3 Peralta, S. Medina 3 Pierce, Virgil U. 3 Prokhorov, Andrei 3 Rakhmanov, Evgenij Andreevich 3 Shramchenko, Vasilisa 3 Suleĭmanov, Bulat Irekovich 3 Wang, Haowu 3 Wiegmann, Paul B. 3 Zabrodin, Anton V. 3 Zograf, Peter 3 Zuo, Dafeng 2 Agam, Oded 2 Akel, Mohamed S. 2 Alabbad, Fatimah 2 Álvarez, Gabriel 2 Ameur, Yacin 2 Baik, Jinho 2 Bettelheim, Eldad 2 Bonelli, Giulio 2 Borot, Gaëtan 2 Bros, Jacques 2 Byun, Sung-Soo 2 Chen, Yang 2 Del Monte, Fabrizio 2 Desiraju, Harini 2 Domínguez de la Iglesia, Manuel 2 Dominici, Diego Ernesto 2 Dung, Dao Van 2 El, Gennady A. 2 Epstein, Henri 2 Feitosa de Almeida, Guilherme 2 Fornberg, Bengt ...and 358 more Authors all top 5 Cited in 100 Serials 53 Communications in Mathematical Physics 23 Physica D 22 Journal of Mathematical Physics 22 Journal of High Energy Physics 20 Advances in Mathematics 20 Journal of Approximation Theory 19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 18 Letters in Mathematical Physics 13 Constructive Approximation 12 Nuclear Physics. B 11 Nonlinearity 11 Journal of Geometry and Physics 10 Annales Henri Poincaré 10 Random Matrices: Theory and Applications 7 Journal of Statistical Physics 7 Analysis and Mathematical Physics 6 Communications on Pure and Applied Mathematics 6 Theoretical and Mathematical Physics 6 Journal of Nonlinear Science 5 Duke Mathematical Journal 5 Journal of Computational and Applied Mathematics 4 Journal of Statistical Mechanics: Theory and Experiment 3 General Relativity and Gravitation 3 Journal of Functional Analysis 3 Mathematische Annalen 3 Memoirs of the American Mathematical Society 3 Nonlinear Dynamics 3 Mathematical Physics, Analysis and Geometry 3 Mediterranean Journal of Mathematics 2 Classical and Quantum Gravity 2 Journal of Mathematical Analysis and Applications 2 Physics Letters. A 2 Acta Mathematica 2 Probability Theory and Related Fields 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Integral Transforms and Special Functions 2 The Journal of Fourier Analysis and Applications 2 Acta Mathematica Sinica. English Series 2 Foundations of Computational Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters A 1 Acta Mechanica 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Commentationes Mathematicae Universitatis Carolinae 1 Functional Analysis and its Applications 1 Journal of Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Meccanica 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Numerical Algorithms 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Algebraic Geometry 1 International Journal of Modern Physics D 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 Selecta Mathematica. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Journal of Probability 1 Sbornik: Mathematics 1 Chaos 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Moscow Mathematical Journal 1 Fixed Point Theory and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Complex Analysis and Operator Theory 1 Mathematical Modelling of Natural Phenomena 1 Asian-European Journal of Mathematics 1 Quantum Topology 1 Science China. Mathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 SIAM/ASA Journal on Uncertainty Quantification 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Research in Number Theory all top 5 Cited in 45 Fields 95 Partial differential equations (35-XX) 89 Dynamical systems and ergodic theory (37-XX) 88 Probability theory and stochastic processes (60-XX) 87 Quantum theory (81-XX) 77 Ordinary differential equations (34-XX) 75 Special functions (33-XX) 66 Linear and multilinear algebra; matrix theory (15-XX) 65 Functions of a complex variable (30-XX) 45 Algebraic geometry (14-XX) 41 Differential geometry (53-XX) 38 Statistical mechanics, structure of matter (82-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 30 Relativity and gravitational theory (83-XX) 22 Approximations and expansions (41-XX) 20 Potential theory (31-XX) 18 Operator theory (47-XX) 14 Numerical analysis (65-XX) 13 Number theory (11-XX) 12 Combinatorics (05-XX) 12 Nonassociative rings and algebras (17-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Integral transforms, operational calculus (44-XX) 8 Fluid mechanics (76-XX) 6 Integral equations (45-XX) 6 Manifolds and cell complexes (57-XX) 6 Mechanics of deformable solids (74-XX) 5 Group theory and generalizations (20-XX) 5 Functional analysis (46-XX) 5 Statistics (62-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 \(K\)-theory (19-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year