Iosif Polterovich,
Associate Professor / Professeur
agrégé

Contact information:
Département
de mathématiques et de statistique
Université
de Montréal
CP 6128, succ. Centre-ville
Montréal, Québec H3C 3J7
Tel:: (514) 343-5899
E-mail: iossif
at dms.umontreal.ca
Fax: (514) 343-5700
Office: 5229, Pavillon André-Aisenstadt,
2920 Chemin de la Tour
Recent publications:
- Dmitry Jakobson,
Stephane
Nonnenmacher and Iosif Polterovich (Editors), Spectrum and Dynamics: Proceedings of the
workshop held in Montreal, QC, April 7-11, 2008, CRM
Proceedings and Lecture Notes, Vol. 52, AMS, 2010.
- Rodrigo
Bañuelos, Tadeusz
Kulczycki, Iosif Polterovich and Bartłomiej Siudeja,
Eigenvalue
inequalities for mixed Steklov problems, Amer. Math.
Soc. Transl., Vol. 231 (2010), 19-34.
- Alexandre
Girouard and Iosif Polterovich, Shape optimization for low Neumann and
Steklov eigenvalues, Special
issue on ``Complex-Analytic Methods", Math. Meth. Appl. Sci. 33, no. 4
(2010), 501-516.
- Alexandre
Girouard and Iosif Polterovich, On the Hersch-Payne-Schiffer inequalities
for
Steklov eigenvalues, Func. Anal. Appl.
44:2 (2010), 106–117. (Russian translation is available here)
- Hugues Lapointe, Iosif Polterovich and Yuri Safarov, Average growth of
the spectral function on a Riemannian manifold, Comm.
Partial Differential Equations, 34 (2009), no. 6, 581-615.
- Alexandre
Girouard, Nikolai Nadirashvili and Iosif Polterovich, Maximization of
the second positive Neumann eigenvalue for planar domains,
J. Diff. Geometry 83, no. 3 (2009), 637-662.
- Iosif Polterovich, Pleijel's nodal domain theorem for free
membranes, Proc. Amer. Math. Soc. 137 (2009),
1021-1024.
- Dmitry
Jakobson, Iosif Polterovich and John
Toth, A
lower bound for the remainder in Weyl's law on negatively curved
surfaces, Int. Math. Res. Not. (2008),
no. 2, Art. ID rnm142, 38 pp.
- Iosif Polterovich, Spectral asymptotics and dynamics on
Riemannian manifolds, a short survey in
Oberwolfach Reports 41 (2007), 2365-2367.
- Dmitry
Jakobson and Iosif Polterovich, Estimates from below for the spectral
function and for the remainder in local Weyl's law,
Geom. Funct. Anal. 17, no. 3 (2007), 806-838.
- Michael
Levitin,
Leonid Parnovski and Iosif Polterovich, Isospectral domains with mixed boundary
conditions, J. Phys. A: Math. Gen. 39 (2006) 2073-2082.
- Dmitry
Jakobson, Michael
Levitin, Nikolai Nadirashvili and Iosif Polterovich, Spectral
problems with mixed Dirichlet-Neumann boundary conditions:
isospectrality and beyond, J. Comp.
Appl. Math. 194 no. 1 (2006), 141-155.
- Dmitry
Jakobson, Nikolai Nadirashvili and Iosif Polterovich, Extremal metric for
the first eigenvalue on a Klein bottle, Canad. J. Math. 58
no. 2 (2006), 381-400. (2008 G. de B.
Robinson Award of the Canadian
Mathematical Society).
- Dmitry
Jakobson, Michael
Levitin, Nikolai Nadirashvili, Nilima Nigam
and Iosif Polterovich, How large can the first eigenvalue be on a
surface of genus two ?, Int. Math. Res. Not. 2005:63
(2005), 3967-3985.
Most of my earlier papers are available
at http://arxiv.org/
Selected recent talks:
Enseignement en hiver 2012: Analyse Fonctionnelle 1 (MAT6112)
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