## Bertola, Marco

Compute Distance To:
 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)

### 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 1355.35169
Bertola, Marco; Tovbis, Alexander
2013
Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015
Bertola, M.; Eynard, B.; Harnad, J.
2002
The Cauchy two-matrix model. Zbl 1197.82037
Bertola, M.; Gekhtman, M.; Szmigielski, J.
2009
Cauchy biorthogonal polynomials. Zbl 1202.33012
Bertola, M.; Gekhtman, M.; Szmigielski, J.
2010
Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306
Bertola, M.; Eynard, B.; Harnad, J.
2006
The dependence on the monodromy data of the isomonodromic tau function. Zbl 1218.37099
Bertola, M.
2010
Cauchy-Laguerre two-matrix model and the Meijer-$$G$$ random point field. Zbl 1303.82018
Bertola, M.; Gekhtman, M.; Szmigielski, J.
2014
The transition between the gap probabilities from the Pearcey to the Airy process – a Riemann-Hilbert approach. Zbl 1251.60005
Bertola, M.; Cafasso, M.
2012
Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098
Bertola, M.; Eynard, B.; Harnad, J.
2003
Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights. Zbl 1153.39027
Bertola, M.; Mo, M. Y.
2009
Boutroux curves with external field: equilibrium measures without a variational problem. Zbl 1259.33021
Bertola, M.
2011
Correlation functions of the KdV hierarchy and applications to intersection numbers over $$\overline{\mathcal{M}}_{g, n}$$. Zbl 1373.37153
Bertola, Marco; Dubrovin, Boris; Yang, Di
2016
Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032
Bertola, M.; Eynard, B.; Harnad, J.
2003
Frobenius manifold structure on orbit space of Jacobi groups. I. Zbl 1033.11020
Bertola, Marco
2000
Riemann-Hilbert approach to multi-time processes: the Airy and the Pearcey cases. Zbl 1278.60082
Bertola, M.; Cafasso, M.
2012
Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane. Zbl 1308.42025
Balogh, Ferenc; Bertola, Marco; Lee, Seung-Yeop; McLaughlin, Kenneth D. T-R
2015
Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation. Zbl 1320.33029
Bertola, M.; Tovbis, A.
2015
First colonization of a spectral outpost in random matrix theory. Zbl 1169.05385
Bertola, M.; Lee, S. Y.
2009
Zeros of large degree Vorobév-Yablonski polynomials via a Hankel determinant identity. Zbl 1328.35196
Bertola, Marco; Bothner, Thomas
2015
Universality conjecture and results for a model of several coupled positive-definite matrices. Zbl 1318.15018
Bertola, Marco; Bothner, Thomas
2015
Jacobi groups, Jacobi forms and their applications. Zbl 1027.11030
Bertola, Marco
2002
On the location of poles for the Ablowitz-Segur family of solutions to the second Painlevé equation. Zbl 1254.34123
Bertola, M.
2012
Regularity of a vector potential problem and its spectral curve. Zbl 1190.42009
Balogh, F.; Bertola, M.
2009
Biorthogonal polynomials for two-matrix models with semiclassical potentials. Zbl 1213.42088
Bertola, M.
2007
Frobenius manifold structure on orbit space of Jacobi groups. II. Zbl 1033.11021
Bertola, Marco
2000
Symplectic geometry of the moduli space of projective structures in homological coordinates. Zbl 1432.53121
Bertola, Marco; Korotkin, Dmitry; Norton, Chaya
2017
Biorthogonal Laurent polynomials, toplitz determinants, minimal Toda orbits and isomonodromic tau functions. Zbl 1149.42012
Bertola, M.; Gekhtman, M.
2007
The partition function of the extended $${r}$$-reduced Kadomtsev-Petviashvili hierarchy. Zbl 1317.37067
Bertola, Marco; Yang, Di
2015
Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes. Zbl 1302.82049
Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V.
2013
Bilinear semiclassical moment functionals and their integral representation. Zbl 1020.44009
Bertola, Marco
2003
Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. Zbl 1234.35171
Bertola, M.; Cafasso, M.
2012
Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes. Zbl 1241.82035
Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V.
2012
A general construction of conformal field theories from scalar anti-de Sitter quantum field theories. Zbl 1043.81680
Bertola, Marco; Bros, Jacques; Moschella, Ugo; Schaeffer, Richard
2000
Simple Lie algebras and topological ODEs. Zbl 1406.17016
Bertola, Marco; Dubrovin, Boris; Yang, Di
2018
Maximal amplitudes of finite-gap solutions for the focusing nonlinear Schrödinger equation. Zbl 1391.35348
Bertola, M.; Tovbis, A.
2017
Universality in the profile of the semiclassical limit solutions to the focusing nonlinear Schrödinger equation at the first breaking curve. Zbl 1202.35295
Bertola, Marco; Tovbis, Alexander
2010
Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model. Zbl 1292.33009
Bertola, M.; Gekhtman, M.; Szmigielski, J.
2013
Free energy of the two-matrix model/dToda tau-function. Zbl 1031.81039
Bertola, M.
2003
Duality of spectral curves arising in two-matrix models. Zbl 1068.81044
Bertola, M.; Eynard, B.; Harnad, J.
2003
Hankel determinant approach to generalized Vorob’ev-Yablonski polynomials and their roots. Zbl 1376.34073
Balogh, Ferenc; Bertola, Marco; Bothner, Thomas
2016
Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Zbl 1371.35268
Bertola, Marco; El, Gennady A.; Tovbis, Alexander
2016
Cubic string boundary value problems and Cauchy biorthogonal polynomials. Zbl 1175.42009
Bertola, M.; Gekhtman, M.; Szmigielski, J.
2009
Moment determinants as isomonodromic tau functions. Zbl 1198.05150
Bertola, M.
2009
Decomposing quantum fields on branes. Zbl 0984.81095
Bertola, Marco; Bros, Jacques; Gorini, Vittorio; Moschella, Ugo; Schaeffer, Richard
2000
Lie triple systems and warped products. Zbl 1057.53020
Bertola, M.; Gouthier, D.
2001
Two-matrix models and biorthogonal polynomials. Zbl 1237.81111
Bertola, M.
2011
First colonization of a hard-edge in random matrix theory. Zbl 1250.05123
Bertola, M.; Lee, S. Y.
2010
The PDEs of biorthogonal polynomials arising in the two-matrix model. Zbl 1107.33011
Bertola, Marco; Eynard, Bertrand
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 1348.44003
Bertola, Marco; Katsevich, Alexander; Tovbis, Alexander
2016
The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation. Zbl 1274.60154
Bertola, M.; Cafasso, M.
2013
Darboux transformations and random point processes. Zbl 1333.60097
Bertola, Marco; Cafasso, Mattia
2015
Noncommutative Painlevé equations and systems of Calogero type. Zbl 1402.34092
Bertola, M.; Cafasso, M.; Rubtsov, V.
2018
Warped products with special Riemannian curvature. Zbl 1107.53025
Bertola, Marco; Gouthier, Daniele
2001
Mixed correlation functions of the two-matrix model. Zbl 1057.81060
Bertola, M.; Eynard, B.
2003
Painlevé IV critical asymptotics for orthogonal polynomials in the complex plane. Zbl 1400.33008
Bertola, Marco; Elias Rebelo, José Gustavo; Grava, Tamara
2018
The Kontsevich-Penner matrix integral, isomonodromic tau functions and open intersection numbers. Zbl 07023773
Bertola, Marco; Ruzza, Giulio
2019
Rationally weighted Hurwitz numbers, Meijer $$G$$-functions and matrix integrals. Zbl 1429.81029
2019
Brezin-Gross-Witten tau function and isomonodromic deformations. Zbl 1427.14030
Bertola, Marco; Ruzza, Giulio
2019
Isomonodromic deformation of resonant rational connections. Zbl 1113.34063
Bertola, M.; Mo, M. Y.
2005
Generating weighted Hurwitz numbers. Zbl 1441.14118
Bertola, M.; Harnad, J.; Runov, B.
2020
Massless scalar field in a two-dimensional de Sitter universe. Zbl 1166.81351
Bertola, Marco; Corbetta, Francesco; Moschella, Ugo
2007
The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes’ phenomenon. Zbl 1364.30044
Bertola, M.; Cafasso, M.
2017
Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves. Zbl 1309.30036
Bertola, M.; Tovbis, A.
2015
On Sobolev instability of the interior problem of tomography. Zbl 1381.44005
Bertola, M.; Katsevich, A.; Tovbis, A.
2016
Two-matrix model with semiclassical potentials and extended Whitham hierarchy. Zbl 1102.81059
Bertola, M.
2006
Topological expansion for the Cauchy two-matrix model. Zbl 1182.82001
Bertola, M.; Ferrer, A. Prats
2009
A degeneration of two-phase solutions of the focusing nonlinear Schrödinger equation via Riemann-Hilbert problems. Zbl 1320.35319
Bertola, Marco; Giavedoni, Pietro
2015
Correspondence between Minkowski and de Sitter quantum field theory. Zbl 0987.81527
Bertola, Marco; Gorini, Vittorio; Moschella, Ugo; Schaeffer, Richard
1999
On asymptotic regimes of orthogonal polynomials with complex varying quartic exponential weight. Zbl 1355.33021
Bertola, Marco; Tovbis, Alexander
2016
Hodge and Prym tau functions, Strebel differentials and combinatorial model of $${\mathcal{M}}_{g,n}$$. Zbl 1447.30003
Bertola, M.; Korotkin, D.
2020
The Malgrange form and Fredholm determinants. Zbl 1374.35274
Bertola, Marco
2017
Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data. Zbl 1434.35148
Bertola, M.; Minakov, A.
2019
Correction to: “The dependence on the monodromy data of the isomonodromic tau function”. Zbl 1473.37087
Bertola, Marco
2021
Padé approximants on Riemann surfaces and KP tau functions. Zbl 1478.37074
Bertola, Marco
2021
Coherent state realizations of $$\text{su}(n+1)$$ on the $$n$$-torus. Zbl 1060.81537
de Guise, Hubert; Bertola, Marco
2002
Mesoscopic colonization of a spectral band. Zbl 1179.81070
Bertola, M.; Lee, S. Y.; Mo, M. Y.
2009
Inversion formulae for the cosh-weighted Hilbert transform. Zbl 1279.44003
Bertola, M.; Katsevich, A.; Tovbis, A.
2013
Effective inverse spectral problem for rational Lax matrices and applications. Zbl 1133.37028
Bertola, M.; Gekhtman, M.
2007
WKB expansion for a Yang-Yang generating function and the Bergman tau function. Zbl 07364268
Bertola, M.; Korotkin, D. A.
2021
Discriminant circle bundles over local models of Strebel graphs and Boutroux curves. Zbl 1411.30029
Bertola, M.; Korotkin, D. A.
2018
Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles. Zbl 1378.60022
Bertola, M.; Cafasso, M.
2017
Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform. Zbl 1446.44003
Katsevich, Alexander; Bertola, Marco; Tovbis, Alexander
2019
Correction to: “The dependence on the monodromy data of the isomonodromic tau function”. Zbl 1473.37087
Bertola, Marco
2021
Padé approximants on Riemann surfaces and KP tau functions. Zbl 1478.37074
Bertola, Marco
2021
WKB expansion for a Yang-Yang generating function and the Bergman tau function. Zbl 07364268
Bertola, M.; Korotkin, D. A.
2021
Generating weighted Hurwitz numbers. Zbl 1441.14118
Bertola, M.; Harnad, J.; Runov, B.
2020
Hodge and Prym tau functions, Strebel differentials and combinatorial model of $${\mathcal{M}}_{g,n}$$. Zbl 1447.30003
Bertola, M.; Korotkin, D.
2020
The Kontsevich-Penner matrix integral, isomonodromic tau functions and open intersection numbers. Zbl 07023773
Bertola, Marco; Ruzza, Giulio
2019
Rationally weighted Hurwitz numbers, Meijer $$G$$-functions and matrix integrals. Zbl 1429.81029
2019
Brezin-Gross-Witten tau function and isomonodromic deformations. Zbl 1427.14030
Bertola, Marco; Ruzza, Giulio
2019
Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data. Zbl 1434.35148
Bertola, M.; Minakov, A.
2019
Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform. Zbl 1446.44003
Katsevich, Alexander; Bertola, Marco; Tovbis, Alexander
2019
Simple Lie algebras and topological ODEs. Zbl 1406.17016
Bertola, Marco; Dubrovin, Boris; Yang, Di
2018
Noncommutative Painlevé equations and systems of Calogero type. Zbl 1402.34092
Bertola, M.; Cafasso, M.; Rubtsov, V.
2018
Painlevé IV critical asymptotics for orthogonal polynomials in the complex plane. Zbl 1400.33008
Bertola, Marco; Elias Rebelo, José Gustavo; Grava, Tamara
2018
Discriminant circle bundles over local models of Strebel graphs and Boutroux curves. Zbl 1411.30029
Bertola, M.; Korotkin, D. A.
2018
Symplectic geometry of the moduli space of projective structures in homological coordinates. Zbl 1432.53121
Bertola, Marco; Korotkin, Dmitry; Norton, Chaya
2017
Maximal amplitudes of finite-gap solutions for the focusing nonlinear Schrödinger equation. Zbl 1391.35348
Bertola, M.; Tovbis, A.
2017
The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes’ phenomenon. Zbl 1364.30044
Bertola, M.; Cafasso, M.
2017
The Malgrange form and Fredholm determinants. Zbl 1374.35274
Bertola, Marco
2017
Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles. Zbl 1378.60022
Bertola, M.; Cafasso, M.
2017
Correlation functions of the KdV hierarchy and applications to intersection numbers over $$\overline{\mathcal{M}}_{g, n}$$. Zbl 1373.37153
Bertola, Marco; Dubrovin, Boris; Yang, Di
2016
Hankel determinant approach to generalized Vorob’ev-Yablonski polynomials and their roots. Zbl 1376.34073
Balogh, Ferenc; Bertola, Marco; Bothner, Thomas
2016
Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Zbl 1371.35268
Bertola, Marco; El, Gennady A.; Tovbis, Alexander
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 1348.44003
Bertola, Marco; Katsevich, Alexander; Tovbis, Alexander
2016
On Sobolev instability of the interior problem of tomography. Zbl 1381.44005
Bertola, M.; Katsevich, A.; Tovbis, A.
2016
On asymptotic regimes of orthogonal polynomials with complex varying quartic exponential weight. Zbl 1355.33021
Bertola, Marco; Tovbis, Alexander
2016
Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane. Zbl 1308.42025
Balogh, Ferenc; Bertola, Marco; Lee, Seung-Yeop; McLaughlin, Kenneth D. T-R
2015
Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation. Zbl 1320.33029
Bertola, M.; Tovbis, A.
2015
Zeros of large degree Vorobév-Yablonski polynomials via a Hankel determinant identity. Zbl 1328.35196
Bertola, Marco; Bothner, Thomas
2015
Universality conjecture and results for a model of several coupled positive-definite matrices. Zbl 1318.15018
Bertola, Marco; Bothner, Thomas
2015
The partition function of the extended $${r}$$-reduced Kadomtsev-Petviashvili hierarchy. Zbl 1317.37067
Bertola, Marco; Yang, Di
2015
Darboux transformations and random point processes. Zbl 1333.60097
Bertola, Marco; Cafasso, Mattia
2015
Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves. Zbl 1309.30036
Bertola, M.; Tovbis, A.
2015
A degeneration of two-phase solutions of the focusing nonlinear Schrödinger equation via Riemann-Hilbert problems. Zbl 1320.35319
Bertola, Marco; Giavedoni, Pietro
2015
Cauchy-Laguerre two-matrix model and the Meijer-$$G$$ random point field. Zbl 1303.82018
Bertola, M.; Gekhtman, M.; Szmigielski, J.
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 1355.35169
Bertola, Marco; Tovbis, Alexander
2013
Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes. Zbl 1302.82049
Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V.
2013
Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model. Zbl 1292.33009
Bertola, M.; Gekhtman, M.; Szmigielski, J.
2013
The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation. Zbl 1274.60154
Bertola, M.; Cafasso, M.
2013
Inversion formulae for the cosh-weighted Hilbert transform. Zbl 1279.44003
Bertola, M.; Katsevich, A.; Tovbis, A.
2013
The transition between the gap probabilities from the Pearcey to the Airy process – a Riemann-Hilbert approach. Zbl 1251.60005
Bertola, M.; Cafasso, M.
2012
Riemann-Hilbert approach to multi-time processes: the Airy and the Pearcey cases. Zbl 1278.60082
Bertola, M.; Cafasso, M.
2012
On the location of poles for the Ablowitz-Segur family of solutions to the second Painlevé equation. Zbl 1254.34123
Bertola, M.
2012
Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation. Zbl 1234.35171
Bertola, M.; Cafasso, M.
2012
Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes. Zbl 1241.82035
Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V.
2012
Boutroux curves with external field: equilibrium measures without a variational problem. Zbl 1259.33021
Bertola, M.
2011
Two-matrix models and biorthogonal polynomials. Zbl 1237.81111
Bertola, M.
2011
Cauchy biorthogonal polynomials. Zbl 1202.33012
Bertola, M.; Gekhtman, M.; Szmigielski, J.
2010
The dependence on the monodromy data of the isomonodromic tau function. Zbl 1218.37099
Bertola, M.
2010
Universality in the profile of the semiclassical limit solutions to the focusing nonlinear Schrödinger equation at the first breaking curve. Zbl 1202.35295
Bertola, Marco; Tovbis, Alexander
2010
First colonization of a hard-edge in random matrix theory. Zbl 1250.05123
Bertola, M.; Lee, S. Y.
2010
The Cauchy two-matrix model. Zbl 1197.82037
Bertola, M.; Gekhtman, M.; Szmigielski, J.
2009
Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights. Zbl 1153.39027
Bertola, M.; Mo, M. Y.
2009
First colonization of a spectral outpost in random matrix theory. Zbl 1169.05385
Bertola, M.; Lee, S. Y.
2009
Regularity of a vector potential problem and its spectral curve. Zbl 1190.42009
Balogh, F.; Bertola, M.
2009
Cubic string boundary value problems and Cauchy biorthogonal polynomials. Zbl 1175.42009
Bertola, M.; Gekhtman, M.; Szmigielski, J.
2009
Moment determinants as isomonodromic tau functions. Zbl 1198.05150
Bertola, M.
2009
Topological expansion for the Cauchy two-matrix model. Zbl 1182.82001
Bertola, M.; Ferrer, A. Prats
2009
Mesoscopic colonization of a spectral band. Zbl 1179.81070
Bertola, M.; Lee, S. Y.; Mo, M. Y.
2009
Biorthogonal polynomials for two-matrix models with semiclassical potentials. Zbl 1213.42088
Bertola, M.
2007
Biorthogonal Laurent polynomials, toplitz determinants, minimal Toda orbits and isomonodromic tau functions. Zbl 1149.42012
Bertola, M.; Gekhtman, M.
2007
Massless scalar field in a two-dimensional de Sitter universe. Zbl 1166.81351
Bertola, Marco; Corbetta, Francesco; Moschella, Ugo
2007
Effective inverse spectral problem for rational Lax matrices and applications. Zbl 1133.37028
Bertola, M.; Gekhtman, M.
2007
Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306
Bertola, M.; Eynard, B.; Harnad, J.
2006
The PDEs of biorthogonal polynomials arising in the two-matrix model. Zbl 1107.33011
Bertola, Marco; Eynard, Bertrand
2006
Two-matrix model with semiclassical potentials and extended Whitham hierarchy. Zbl 1102.81059
Bertola, M.
2006
Isomonodromic deformation of resonant rational connections. Zbl 1113.34063
Bertola, M.; Mo, M. Y.
2005
Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098
Bertola, M.; Eynard, B.; Harnad, J.
2003
Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032
Bertola, M.; Eynard, B.; Harnad, J.
2003
Bilinear semiclassical moment functionals and their integral representation. Zbl 1020.44009
Bertola, Marco
2003
Free energy of the two-matrix model/dToda tau-function. Zbl 1031.81039
Bertola, M.
2003
Duality of spectral curves arising in two-matrix models. Zbl 1068.81044
Bertola, M.; Eynard, B.; Harnad, J.
2003
Mixed correlation functions of the two-matrix model. Zbl 1057.81060
Bertola, M.; Eynard, B.
2003
Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015
Bertola, M.; Eynard, B.; Harnad, J.
2002
Jacobi groups, Jacobi forms and their applications. Zbl 1027.11030
Bertola, Marco
2002
Coherent state realizations of $$\text{su}(n+1)$$ on the $$n$$-torus. Zbl 1060.81537
de Guise, Hubert; Bertola, Marco
2002
Lie triple systems and warped products. Zbl 1057.53020
Bertola, M.; Gouthier, D.
2001
Warped products with special Riemannian curvature. Zbl 1107.53025
Bertola, Marco; Gouthier, Daniele
2001
Frobenius manifold structure on orbit space of Jacobi groups. I. Zbl 1033.11020
Bertola, Marco
2000
Frobenius manifold structure on orbit space of Jacobi groups. II. Zbl 1033.11021
Bertola, Marco
2000
A general construction of conformal field theories from scalar anti-de Sitter quantum field theories. Zbl 1043.81680
Bertola, Marco; Bros, Jacques; Moschella, Ugo; Schaeffer, Richard
2000
Decomposing quantum fields on branes. Zbl 0984.81095
Bertola, Marco; Bros, Jacques; Gorini, Vittorio; Moschella, Ugo; Schaeffer, Richard
2000
Correspondence between Minkowski and de Sitter quantum field theory. Zbl 0987.81527
Bertola, Marco; Gorini, Vittorio; Moschella, Ugo; Schaeffer, Richard
1999
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### 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
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### 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
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### 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)