Laboratoire de Physique Mathématique Membres Professeurs permanents

John Toth (McGill)


Dept. of Mathematics
McGill University
Burnside Hall
805 Sherbrooke St. W.
Montreal, Qc. H3A 2K6

Contact information:

Email: toth@math.mcgill.ca
Phone: (514) 398-3847
URL: http://www.math.mcgill.ca/toth/

Areas of research:

Partial differential equations, mathematical physics and spectral theory.

Graduate students:

Mahta Khosravi (PhD)

Postdoctoral fellows:

Alain Bourget

Research Associates:

Visiting researchers:

Maung Min-Oo
Steve Zelditch
Yiannis Petridis

Selected recent publications:

Toth, John A.; Zelditch, Steve "LP norms of eigenfunctions in the completely integrable case". Ann. Henri Poincaré 4 (2003), no. 2, 343--368. 58J50 (35P15)

Toth, John A.; Zelditch, Steve "Norms of modes and quasi-modes revisited". Harmonic analysis at Mount Holyoke (South Hadley, MA, 2001), 435--458, Contemp. Math., 320, Amer. Math. Soc., Providence, RI, 2003. 58J37

Petridis, Yiannis N.; Toth, John A. "The remainder in Weyl's law for Heisenberg manifolds". J. Differential Geom. 60 (2002), no. 3, 455--483. 58J37 (58J50)

Petridis, Y.; Toth, J. A. "The remainder in Weyl's law for random two-dimensional flat tori". Geom. Funct. Anal. 12 (2002), no. 4, 756--775. 58J37 (11Kxx 11Pxx 35P2 60D05)

Toth, John A.; Zelditch, Steve "Riemannian manifolds with uniformly bounded eigenfunctions". Duke Math. J. 111 (2002), no. 1, 97--132. 58J50 (53D25)