Laboratoire de Physique Mathématique Membres Professeurs permanents

Marco Bertola (Concordia)


Assistant Professor,
Concordia University,
Dept. of Math. and Stat.
HB 327, 7141 Sherbrooke W.

Contact information:

Email: bertola@crm.umontreal.ca
Phone: (514) 848-2424 Ext. 3228

Areas of research:

Random matrix models, axiomatic quantum field theory, differential geometry, invariant theory for discrete groups.

Graduate students:

Maciej Babinski (PhD, jointly with S.T. Ali)
Yulia Klochko (PhD starting January)

Postdoctoral fellows:

G. Pusztai (jointly with J. Harnad ad D. Korotkin)

Research Associates:

Visiting researchers:

Bertrand Eynard (Saclay) 2 - 12 fév., 1 - 15 avr. 2004
Andrey Kapaev (St. Petersburg) 30 jan. - 30 mars, 2004

Selected recent publications:

M. Bertola, B. Eynard, "The PDEs biorthogonal polynomials arising in the Two-Matrix Model", nlin. SI/0208002.

M. Bertola, "Second and Third order observables of the Two-Matrix Model", to appear in J. High Energy Phys., hep-th/0309192.

M. Bertola, "Free Energy of the Two-Matrix Model, dToda Tau-Function", Nucl. Phys. B 669 [FS] (2003), 435-461.

M. Bertola, J. Harnad, B. Eynard, "Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann--Hilbert problem", nlin.SI/0208002, to appear in Comm. Math. Phys.

M. Bertola, "Bilinear semi-classical moment functionals and their integral representation", J. App. Th. (2003) 71-99.

M. Bertola, B. Eynard, J. Harnad, "Duality, Biorthogonal Polynomials and Multi-Matrix Models", Commun. Math. Phys. (2002) 1, 73-120.

M. Bertola, B. Eynard "Mixed Correlation Functions of the Two-Matrix Model", J.Phys. A36 (2003) 7733-7750.