%0 Journal Article %J Teoret. Mat. Fiz. %D 2018 %T Discriminant circle bundles over local models of Strebel graphs and Boutroux curves %A Marco Bertola %A Korotkin, D. A. %B Teoret. Mat. Fiz. %V 197 %P 163–207 %G eng %U https://doi.org/10.4213/tmf9513 %R 10.4213/tmf9513 %0 Journal Article %J Comm. Math. Phys %D 2018 %T Noncommutative Painlevé Equations and Systems of Calogero Type %A Marco Bertola %A Mattia Cafasso %A V. Rubtsov %B Comm. Math. Phys %G eng %0 Journal Article %J Symmetry, Integrability and Geometry. Methods and Applications %D 2018 %T Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane %A Marco Bertola %A José Gustavo Elias Rebelo %A Tamara Grava %X

We study the asymptotic behaviour of orthogonal polynomials in the complex plane that are associated to a certain normal matrix model. The model depends on a parameter and the asymptotic distribution of the eigenvalues undergoes a transition for a special value of the parameter, where it develops a corner-type singularity. In the double scaling limit near the transition we determine the asymptotic behaviour of the orthogonal polynomials in terms of a solution of the Painlev´e IV equation. We determine the Fredholm determinant associated to such solution and we compute it numerically on the real line, showing also that the corresponding Painlev´e transcendent is pole-free on a semiaxis.

%B Symmetry, Integrability and Geometry. Methods and Applications %I National Academy of Sciences of Ukraine %V 14 %G eng %R 10.3842/SIGMA.2018.091 %0 Journal Article %J Comm. Math. Phys %D 2017 %T The Kontsevich matrix integral: convergence to the Painlevé hierarchy and Stokes' phenomenon %A Marco Bertola %A Mattia Cafasso %B Comm. Math. Phys %V DOI 10.1007/s00220-017-2856-3 %G eng %U http://arxiv.org/abs/1603.06420 %0 Journal Article %J SIGMA Symmetry Integrability Geom. Methods Appl. %D 2017 %T The Malgrange form and Fredholm determinants %A Marco Bertola %B SIGMA Symmetry Integrability Geom. Methods Appl. %V 13 %P Paper No. 046, 12 %G eng %U http://dx.doi.org/10.3842/SIGMA.2017.046 %R 10.3842/SIGMA.2017.046 %0 Journal Article %J Comm. Math. Phys. %D 2017 %T Maximal amplitudes of finite-gap solutions for the focusing Nonlinear Schrödinger Equation %A Marco Bertola %A Alexander Tovbis %B Comm. Math. Phys. %V 354 %P 525–547 %G eng %U http://dx.doi.org/10.1007/s00220-017-2895-9 %R 10.1007/s00220-017-2895-9 %0 Journal Article %J Inventiones Mathematicae %D 2017 %T Symplectic geometry of the moduli space of projective structures in homological coordinates %A Marco Bertola %A Dmitry Korotkin %A Chaya Norton %B Inventiones Mathematicae %P 1–56 %8 06 %G eng %U https://arxiv.org/abs/1506.07918 %0 Journal Article %J Random Matrices Theory Appl. %D 2017 %T Universality of the matrix Airy and Bessel functions at spectral edges of unitary ensembles %A Marco Bertola %A Mattia Cafasso %B Random Matrices Theory Appl. %V 6 %P 1750010, 22 %G eng %U http://dx.doi.org/10.1142/S2010326317500101 %R 10.1142/S2010326317500101 %0 Journal Article %J Phys. Rev. Lett. %D 2017 %T Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation %A Tikan, Alexey %A Billet, Cyril %A Gennady El %A Alexander Tovbis %A Marco Bertola %A Sylvestre, Thibaut %A Gustave, Francois %A Randoux, Stephane %A Genty, Goëry %A Suret, Pierre %A Dudley, John M. %B Phys. Rev. Lett. %I American Physical Society %V 119 %P 033901 %8 Jul %G eng %U https://link.aps.org/doi/10.1103/PhysRevLett.119.033901 %R 10.1103/PhysRevLett.119.033901 %0 Journal Article %J SIGMA Symmetry Integrability Geom. Methods Appl. %D 2016 %T On asymptotic regimes of orthogonal polynomials with complex varying quartic exponential weight %A Marco Bertola %A Alexander Tovbis %B SIGMA Symmetry Integrability Geom. Methods Appl. %V 12 %P Paper No. 118, 50 pages %G eng %U http://dx.doi.org/10.3842/SIGMA.2016.118 %R 10.3842/SIGMA.2016.118 %0 Journal Article %J Phys. D %D 2016 %T Correlation functions of the KdV hierarchy and applications to intersection numbers over $\overline\CalM_g,n$ %A Marco Bertola %A Boris Dubrovin %A Di Yang %B Phys. D %V 327 %P 30–57 %G eng %U http://dx.doi.org/10.1016/j.physd.2016.04.008 %R 10.1016/j.physd.2016.04.008 %0 Journal Article %D 2016 %T CORRIGENDUM: The dependence on the monodromy data of the isomonodromic tau function %A Marco Bertola %8 01 %G eng %U http://arxiv.org/abs/1601.04790 %0 Journal Article %J Constr. Approx. %D 2016 %T Hankel determinant approach to generalized Vorob'ev-Yablonski polynomials and their roots %A Ferenc Balogh %A Marco Bertola %A Thomas Bothner %B Constr. Approx. %V 44 %P 417–453 %G eng %U http://dx.doi.org/10.1007/s00365-016-9328-4 %R 10.1007/s00365-016-9328-4 %0 Journal Article %J Proc. A. %D 2016 %T Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation %A Marco Bertola %A Gennady El %A Alexander Tovbis %B Proc. A. %V 472 %P 20160340, 12 %G eng %U http://dx.doi.org/10.1098/rspa.2016.0340 %R 10.1098/rspa.2016.0340 %0 Journal Article %J Int. Math. Res. Not. %D 2016 %T Simple Lie Algebras and Topological ODEs %A Marco Bertola %A Boris Dubrovin %A Di Yang %B Int. Math. Res. Not. %V 2016 %G eng %0 Journal Article %J Journal of Mathematical Analysis and Applications %D 2016 %T On Sobolev instability of the interior problem of tomography %A Marco Bertola %A Alexander Katsevich %A Alexander Tovbis %B Journal of Mathematical Analysis and Applications %G eng %0 Journal Article %J Constr. Approx. %D 2015 %T Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation %A Marco Bertola %A Alexander Tovbis %B Constr. Approx. %V 41 %P 529–587 %G eng %U http://dx.doi.org/10.1007/s00365-015-9288-0 %R 10.1007/s00365-015-9288-0 %0 Journal Article %J J. Math. Phys. %D 2015 %T A degeneration of two-phase solutions of the focusing nonlinear Schrödinger equation via Riemann-Hilbert problems %A Marco Bertola %A Giavedoni, Pietro %B J. Math. Phys. %V 56 %P 061507, 17 %G eng %U http://dx.doi.org/10.1063/1.4922362 %R 10.1063/1.4922362 %0 Journal Article %J Anal. Math. Phys. %D 2015 %T Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves %A Marco Bertola %A Alexander Tovbis %B Anal. Math. Phys. %V 5 %P 1–22 %G eng %U http://dx.doi.org/10.1007/s13324-014-0088-7 %R 10.1007/s13324-014-0088-7 %0 Journal Article %J J. Phys. A %D 2015 %T The partition function of the extended $r$-reduced Kadomtsev-Petviashvili hierarchy %A Marco Bertola %A Di Yang %B J. Phys. A %V 48 %P 195205, 20 %G eng %U http://dx.doi.org/10.1088/1751-8113/48/19/195205 %R 10.1088/1751-8113/48/19/195205 %0 Journal Article %J Comm. Pure Appl. Math. %D 2015 %T Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane %A Ferenc Balogh %A Marco Bertola %A Lee, Seung-Yeop %A Kenneth McLaughlin %B Comm. Pure Appl. Math. %V 68 %P 112–172 %G eng %U http://dx.doi.org/10.1002/cpa.21541 %R 10.1002/cpa.21541 %0 Journal Article %J Commun. Math. Phys. %D 2015 %T Universality Conjecture and Results for a Model of Several Coupled Positive-Definite Matrices %A Marco Bertola %A Thomas Bothner %B Commun. Math. Phys. %V 337 %P 1077–1141 %8 08 %G eng %U http://link.springer.com/article/10.1007/s00220-015-2327-7 %R 10.1007/s00220-015-2327-7 %0 Journal Article %J Comm. Math. Phys. %D 2014 %T Cauchy-Laguerre two-matrix model and the Meijer-G random point field %A Marco Bertola %A Gekhtman, M. %A Szmigielski, J. %B Comm. Math. Phys. %V 326 %P 111–144 %G eng %U http://dx.doi.org/10.1007/s00220-013-1833-8 %R 10.1007/s00220-013-1833-8 %0 Journal Article %J IMRN %D 2014 %T Darboux Transformations and Random Point Processes %A Marco Bertola %A Mattia Cafasso %B IMRN %V rnu122 %P 56 %G eng %0 Journal Article %J Comm. Pure Appl. Math. %D 2014 %T Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach %A Marco Bertola %A Alexander Katsevich %A Alexander Tovbis %B Comm. Pure Appl. Math. %G eng %0 Journal Article %J International Mathematics Research Notices %D 2014 %T Zeros of Large Degree Vorob'ev-Yablonski Polynomials via a Hankel Determinant Identity %A Marco Bertola %A Thomas Bothner %B International Mathematics Research Notices %V rnu239 %G eng %0 Journal Article %J Random Matrices: Theory and Applications %D 2013 %T The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation %A Marco Bertola %A Mattia Cafasso %B Random Matrices: Theory and Applications %V 02 %P 1350003 %G eng %U http://www.worldscientific.com/doi/abs/10.1142/S2010326313500032 %R 10.1142/S2010326313500032 %0 Journal Article %J Proc. Amer. Math. Soc. %D 2013 %T Inversion formulae for the $\romancosh$-weighted Hilbert transform %A Marco Bertola %A Katsevich, A. %A Alexander Tovbis %B Proc. Amer. Math. Soc. %V 141 %P 2703–2718 %G eng %U http://dx.doi.org/10.1090/S0002-9939-2013-11642-4 %R 10.1090/S0002-9939-2013-11642-4 %0 Journal Article %J J. Stat. Phys. %D 2013 %T Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes %A Marco Bertola %A Buckingham, R. %A Lee, S. Y. %A Pierce, V. %B J. Stat. Phys. %V 153 %P 654–697 %G eng %U http://dx.doi.org/10.1007/s10955-013-0845-2 %R 10.1007/s10955-013-0845-2 %0 Journal Article %J J. Math. Phys. %D 2013 %T Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model %A Marco Bertola %A Gekhtman, M. %A Szmigielski, J. %B J. Math. Phys. %V 54 %P 043517, 25 %G eng %0 Journal Article %J Comm. Pure Appl. Math. %D 2013 %T Universality for the focusing nonlinear Schrödinger equation at the gradient catastrophe point: rational breathers and poles of the \it Tritronquée solution to Painlevé I %A Marco Bertola %A Alexander Tovbis %B Comm. Pure Appl. Math. %V 66 %P 678–752 %G eng %U http://dx.doi.org/10.1002/cpa.21445 %R 10.1002/cpa.21445 %0 Journal Article %J Comm. Math. Phys. %D 2012 %T Fredholm determinants and pole-free solutions to the noncommutative Painlevé II equation %A Marco Bertola %A Mattia Cafasso %B Comm. Math. Phys. %V 309 %P 793–833 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1007/s00220-011-1383-x %R 10.1007/s00220-011-1383-x %0 Journal Article %J Nonlinearity %D 2012 %T On the location of poles for the Ablowitz-Segur family of solutions to the second Painlevé equation %A Marco Bertola %B Nonlinearity %V 25 %P 1179–1185 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1088/0951-7715/25/4/1179 %R 10.1088/0951-7715/25/4/1179 %0 Journal Article %J Physica D: Nonlinear Phenomena %D 2012 %T Riemann–Hilbert approach to multi-time processes: The Airy and the Pearcey cases %A Marco Bertola %A Mattia Cafasso %K Integrable kernels %B Physica D: Nonlinear Phenomena %V 241 %P 2237 - 2245 %G eng %U http://www.sciencedirect.com/science/article/pii/S0167278912000115 %R 10.1016/j.physd.2012.01.003 %0 Journal Article %J J. Stat. Phys. %D 2012 %T Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes %A Marco Bertola %A Buckingham, R. %A Lee, S. Y. %A Pierce, V. %B J. Stat. Phys. %V 146 %P 475–518 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1007/s10955-011-0409-2 %R 10.1007/s10955-011-0409-2 %0 Journal Article %J Anal. Math. Phys. %D 2011 %T Boutroux curves with external field: equilibrium measures without a variational problem %A Marco Bertola %B Anal. Math. Phys. %V 1 %P 167–211 %G eng %U http://dx.doi.org/10.1007/s13324-011-0012-3 %R 10.1007/s13324-011-0012-3 %0 Journal Article %J International Mathematics Research Notices %D 2011 %T The Transition between the Gap Probabilities from the Pearcey to the Airy Process–a Riemann-Hilbert Approach %A Marco Bertola %A Mattia Cafasso %B International Mathematics Research Notices %V doi: 10.1093/imrn/rnr066 %P 1-50 %G eng %0 Journal Article %J J. Approx. Theory %D 2010 %T Cauchy biorthogonal polynomials %A Marco Bertola %A Gekhtman, M. %A Szmigielski, J. %B J. Approx. Theory %V 162 %P 832–867 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1016/j.jat.2009.09.008 %R 10.1016/j.jat.2009.09.008 %0 Journal Article %J Comm. Math. Phys. %D 2010 %T The dependence on the monodromy data of the isomonodromic tau function %A Marco Bertola %B Comm. Math. Phys. %V 294 %P 539–579 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1007/s00220-009-0961-7 %R 10.1007/s00220-009-0961-7 %0 Journal Article %J Constr. Approx. %D 2010 %T First colonization of a hard-edge in random matrix theory %A Marco Bertola %A Lee, S. Y. %B Constr. Approx. %V 31 %P 231–257 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1007/s00365-009-9052-4 %R 10.1007/s00365-009-9052-4 %0 Journal Article %J Int. Math. Res. Not. IMRN %D 2010 %T Universality in the profile of the semiclassical limit solutions to the focusing nonlinear Schrödinger equation at the first breaking curve %A Marco Bertola %A Alexander Tovbis %B Int. Math. Res. Not. IMRN %P 2119–2167 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1093/imrn/rnp196 %R 10.1093/imrn/rnp196 %0 Journal Article %J Comm. Math. Phys. %D 2009 %T The Cauchy two–matrix model %A Marco Bertola %A M Gekhtman %A J Szmigielski %B Comm. Math. Phys. %V 287 %P 983–1014 %G eng %0 Journal Article %J Adv. Math. %D 2009 %T Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights %A Marco Bertola %A Mo, M. Y. %B Adv. Math. %V 220 %P 154–218 %G eng %0 Journal Article %J J. Phys. A %D 2009 %T Cubic string boundary value problems and Cauchy biorthogonal polynomials %A Marco Bertola %A Gekhtman, M. %A Szmigielski, J. %B J. Phys. A %V 42 %P 454006, 13 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1088/1751-8113/42/45/454006 %R 10.1088/1751-8113/42/45/454006 %0 Journal Article %J Constr. Approx. %D 2009 %T First colonization of a spectral outpost in random matrix theory %A Marco Bertola %A Lee, S. Y. %B Constr. Approx. %V 30 %P 225–263 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1007/s00365-008-9026-y %R 10.1007/s00365-008-9026-y %0 Journal Article %J J. Phys. A %D 2009 %T Mesoscopic colonization in a spectral band %A Marco Bertola %A Lee, S. Y. %A Mo, M. Y. %B J. Phys. A %V 42 %P 415204, 17 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1088/1751-8113/42/41/415204 %R 10.1088/1751-8113/42/41/415204 %0 Journal Article %J Nonlinearity %D 2009 %T Moment determinants as isomonodromic tau functions %A Marco Bertola %B Nonlinearity %V 22 %P 29–50 %G eng %0 Journal Article %J J. Math. Phys. %D 2009 %T The partition function of the two-matrix model as an isomonodromic τ function %A Marco Bertola %A Marchal, O. %B J. Math. Phys. %V 50 %P 013529, 17 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1063/1.3054865 %R 10.1063/1.3054865 %0 Journal Article %J J. Approx. Theory %D 2009 %T Regularity of a vector potential problem and its spectral curve %A Ferenc Balogh %A Marco Bertola %B J. Approx. Theory %V 161 %P 353–370 %G eng %U http://0-dx.doi.org.mercury.concordia.ca/10.1016/j.jat.2008.10.010 %R 10.1016/j.jat.2008.10.010 %0 Journal Article %J J. Phys. A %D 2009 %T Topological expansion for the Cauchy two-matrix model %A Marco Bertola %A Ferrer, A. Prats %B J. Phys. A %V 42 %P 335201, 28 %G eng %U http://dx.doi.org/10.1088/1751-8113/42/33/335201 %R 10.1088/1751-8113/42/33/335201 %0 Journal Article %J Int. Math. Res. Not. IMRN %D 2008 %T Harish-Chandra integrals as nilpotent integrals %A Marco Bertola %A Ferrer, Aleix Prats %B Int. Math. Res. Not. IMRN %P Art. ID rnn062, 15 %G eng %0 Journal Article %J Constr. Approx. %D 2007 %T Biorthogonal Laurent polynomials, Töplitz determinants, minimal Toda orbits and isomonodromic tau functions %A Marco Bertola %A Gekhtman, M. %B Constr. Approx. %V 26 %P 383–430 %G eng %0 Journal Article %J J. Approx. Theory %D 2007 %T Biorthogonal polynomials for two-matrix models with semiclassical potentials %A Marco Bertola %B J. Approx. Theory %V 144 %P 162–212 %G eng %0 Journal Article %J Int. Math. Res. Not. IMRN %D 2007 %T Effective inverse spectral problem for rational Lax matrices and applications %A Marco Bertola %A Gekhtman, M. %B Int. Math. Res. Not. IMRN %P Art. ID rnm103, 39 %G eng %0 Book Section %B Rigorous quantum field theory %D 2007 %T Massless scalar field in a two-dimensional de Sitter universe %A Marco Bertola %A Corbetta, Francesco %A Moschella, Ugo %B Rigorous quantum field theory %S Progr. Math. %I Birkhäuser %C Basel %V 251 %P 27–38 %G eng %0 Journal Article %J Math. Phys. Anal. Geom. %D 2006 %T The PDEs of biorthogonal polynomials arising in the two-matrix model %A Marco Bertola %A B. Eynard %B Math. Phys. Anal. Geom. %V 9 %P 23–52 %G eng %0 Journal Article %J Comm. Math. Phys. %D 2006 %T Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions %A Marco Bertola %A B. Eynard %A Harnad, J. %B Comm. Math. Phys. %V 263 %P 401–437 %G eng %0 Journal Article %J J. Phys. A %D 2006 %T Two-matrix model with semiclassical potentials and extended Whitham hierarchy %A Marco Bertola %B J. Phys. A %V 39 %P 8823–8855 %G eng %0 Journal Article %J IMRP Int. Math. Res. Pap. %D 2005 %T Isomonodromic deformation of resonant rational connections %A Marco Bertola %A Mo, M. Y. %B IMRP Int. Math. Res. Pap. %P 565–635 %G eng %0 Journal Article %J J. Approx. Theory %D 2003 %T Bilinear semiclassical moment functionals and their integral representation %A Marco Bertola %B J. Approx. Theory %V 121 %P 71–99 %G eng %0 Journal Article %J Comm. Math. Phys. %D 2003 %T Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem %A Marco Bertola %A B. Eynard %A Harnad, J. %B Comm. Math. Phys. %V 243 %P 193–240 %G eng %0 Journal Article %J Teoret. Mat. Fiz. %D 2003 %T The duality of spectral curves that arises in two-matrix models %A Marco Bertola %A B. Eynard %A Kharnad, Dzh. %B Teoret. Mat. Fiz. %V 134 %P 32–45 %G eng %0 Journal Article %J Nuclear Phys. B %D 2003 %T Free energy of the two-matrix model/dToda tau-function %A Marco Bertola %B Nuclear Phys. B %V 669 %P 435–461 %G eng %0 Journal Article %J J. Phys. A %D 2003 %T Mixed correlation functions of the two-matrix model %A Marco Bertola %A B. Eynard %B J. Phys. A %V 36 %P 7733–7750 %G eng %0 Journal Article %J J. Phys. A %D 2003 %T Partition functions for matrix models and isomonodromic tau functions %A Marco Bertola %A B. Eynard %A Harnad, J. %B J. Phys. A %V 36 %P 3067–3083 %G eng %0 Journal Article %J J. High Energy Phys. %D 2003 %T Second and third order observables of the two-matrix model %A Marco Bertola %B J. High Energy Phys. %P 062, 30 pp. (electronic) %G eng %0 Journal Article %J J. Math. Phys. %D 2002 %T Coherent state realizations of $\rm su(n+1)$ on the $n$-torus %A de Guise, Hubert %A Marco Bertola %B J. Math. Phys. %V 43 %P 3425–3444 %G eng %0 Journal Article %J Comm. Math. Phys. %D 2002 %T Duality, biorthogonal polynomials and multi-matrix models %A Marco Bertola %A B. Eynard %A Harnad, J. %B Comm. Math. Phys. %V 229 %P 73–120 %G eng %0 Book Section %B Isomonodromic deformations and applications in physics (Montréal, QC, 2000) %D 2002 %T Jacobi groups, Jacobi forms and their applications %A Marco Bertola %B Isomonodromic deformations and applications in physics (Montréal, QC, 2000) %S CRM Proc. Lecture Notes %I Amer. Math. Soc. %C Providence, RI %V 31 %P 99–111 %G eng %0 Journal Article %J Rend. Mat. Appl. (7) %D 2001 %T Lie triple systems and warped products %A Marco Bertola %A Gouthier, D. %B Rend. Mat. Appl. (7) %V 21 %P 275–293 %G eng %0 Journal Article %J Bol. Soc. Brasil. Mat. (N.S.) %D 2001 %T Warped products with special Riemannian curvature %A Marco Bertola %A Gouthier, Daniele %B Bol. Soc. Brasil. Mat. (N.S.) %V 32 %P 45–62 %G eng %0 Journal Article %J Nuclear Phys. B %D 2000 %T Decomposing quantum fields on branes %A Marco Bertola %A Bros, Jacques %A Gorini, Vittorio %A Moschella, Ugo %A Schaeffer, Richard %B Nuclear Phys. B %V 581 %P 575–603 %G eng %0 Journal Article %J Differential Geom. Appl. %D 2000 %T Frobenius manifold structure on orbit space of Jacobi groups. I %A Marco Bertola %B Differential Geom. Appl. %V 13 %P 19–41 %G eng %0 Journal Article %J Differential Geom. Appl. %D 2000 %T Frobenius manifold structure on orbit space of Jacobi groups. II %A Marco Bertola %B Differential Geom. Appl. %V 13 %P 213–233 %G eng %0 Journal Article %J Nuclear Phys. B %D 2000 %T A general construction of conformal field theories from scalar anti-de Sitter quantum field theories %A Marco Bertola %A Bros, Jacques %A Moschella, Ugo %A Schaeffer, Richard %B Nuclear Phys. B %V 587 %P 619–644 %G eng %0 Journal Article %J Phys. Lett. B %D 1999 %T Correspondence between Minkowski and de Sitter quantum field theory %A Marco Bertola %A Gorini, Vittorio %A Moschella, Ugo %A Schaeffer, Richard %B Phys. Lett. B %V 462 %P 249–253 %G eng %0 Journal Article %J Gravit. Cosmol. %D 1998 %T Generation of primordial fluctuations in curved spaces %A Schaeffer, Richard %A Moschella, Ugo %A Marco Bertola %A Gorini, Vittorio %B Gravit. Cosmol. %V 4 %P 121–127 %G eng