Publications
- D. Jacobson and J. Maddocks. On The Dynamics Of Chains.
SIAM J. of Appl. Math, 52(6) (1992), 1563-1583.
- D. Jakobson. Quantum Unique
Ergodicity for Eisenstein Series on
PSL(2,Z)\PSL(2,R),
Annales de l'Institut Fourier, 44(5) (1994), 1477-1504.
- D. Jakobson. Quantum limits on flat
tori, Annals of Mathematics, 145 (1997), 235-266.
Announced in
Electronic Research Announcements
of the AMS, 1(2) (1995), 80-86.
- D. Jakobson. Equidistribution of cusp
forms on PSL(2,Z)\PSL(2,R),
Annales de l'Institut Fourier, 47(3) (1997), 967-984.
- D. Jakobson and
S. Zelditch.
Classical limits of eigenfunctions for some completely integrable
systems,
IMA Volumes in
Mathematics and its Applications 109 (1999), 329-355.
- D. Jakobson,
S. Miller,
I. Rivin and
Z. Rudnick. Level spacings for
regular graphs,
IMA Volumes in
Mathematics and its Applications 109 (1999), 317-329.
- A. Gamburd, D. Jakobson and P. Sarnak.
Spectra of elements in the group ring of SU(2),
Jour. of Eur. Math. Soc. 1(1) (1999), 51-85.
- D. Jakobson and I. Rivin.
Extremal metrics on graphs I, Forum Math. 14(1),
(2002), 147-163.
- D. Jakobson and N. Nadirashvili.
Eigenfunctions with few critical points,
Jour. of Diff. Geom. 53(1) (1999), 177-182.
- D. Jakobson and N. Nadirashvili.
Quasi-symmetry of L^p norms of eigenfunctions,
Communications in Analysis and Geometry 10(2) (2002),
397-408.
- D. Jakobson, N. Nadirashvili and J. Toth.
Geometric properties of
eigenfunctions, Russian Math Surveys 56(6),
(2001), 1085-1106.
- A. Bourget, D. Jakobson, M.Min-Oo and J. Toth.
A law of large numbers for
the zeroes of Heine-Stieltjes polynomials,
Lett. Math. Phys. 64 (2003), 105-118.
- D. Jakobson, N. Nadirashvili and I. Polterovich.
Extremal metric for the
first eigenvalue on a Klein bottle,
Canadian Jour. Math. 58 (2006), No. 2, 381-400.
- D. Jakobson, M. Levitin, N. Nadirashvili and I. Polterovich.
"Spectral problems with mixed Dirichlet-Neumann boundary
conditions: isospectrality and beyond"
(pdf and
ps),
Jour. of Computational and Applied Math. 194 (2006), no. 1, 141--155.
- D. Jakobson and I. Polterovich.
"Estimates from below for the spectral function and for the
remainder in local Weyl's law" (ps
and pdf), GAFA 17
(2007), 806-838.
Announced in Electronic Research Announcements
of the AMS 11 (2005), 71-77.
- D. Jakobson, M. Levitin, N. Nadirashvili, N. Nigam and
I. Polterovich. "How large can the first eigenvalue be on a
surface of genus two?" (ps
and pdf), IMRN 2005,
3967-3985.
- V. Drinfeld, A. Grigoryan, Yu. Ilyashenko, D. Jakobson,
C. Kenig, S. Kuksin, P. Sarnak, M. Tsfasman, S. Vladuts.
"Nikolai Nadirashvili: 50th birthday." Moscow Mathematical Journal, Vol. 5, no. 4 (2005)
- D. Jakobson and A. Strohmaier. "High energy limits of
Laplace-type and Dirac-type eigenfunctions and frame flows."
Announced in
ERA-AMS 12 (2006), 87-94. Full version:
Communications in Mathematical Physics 270 (2007), 813-833.
ps
and pdf
- A. Eremenko, D. Jakobson and N. Nadirashvili. "On nodal sets
and nodal domains on S^2 and R^2." math.SP/0611627.
ps and
pdf. Annales de l'Institut Fourier
57 no. 7 (2007), 2345-2360.
- D. Jakobson, I. Polterovich and J. Toth. "Lower bounds for the
remainder in Weyl's law on negatively curved surfaces."
math.SP/0612250. IMRN Vol. 2007,
Article ID rnm142, 38 pages. doi:10.1093/imrn/rnm142.
Preliminary version: ps and
pdf
- D. Jakobson and D. Mangoubi. "Tubular neighborhoods of nodal sets
and Diophantine approximation." arXiv:0707.4045, To appear in
American Journal of Mathematics, vol. 131, no. 4. (2009)
(ps
and pdf)
- D. Jakobson, A. Strohmaier and S. Zelditch. "On the spectrum
of geometric operators on Kahler manifolds." arxiv:0805.2376,
Journal of Modern Dynamics 2 (2008), no. 4, 701-718.
ps and
pdf
- D. Jakobson and F. Naud. "Lower bounds for resonances of infinite
area Riemann surfaces." To appear in Journal of Analysis and PDE.
pdf
- Y. Canzani, D. Jakobson and I. Wigman. "Scalar curvature and
Q-curvature of random metrics." Short announcement:
pdf; long version:
pdf.
Talks
- Talk at a 2010 winter school for pure and applied mathematics
at McGill (january 2010): Spectral
theory, geometry and dynamical systems
- Talk at a program "Selected topics in spectral theory" at ESI,
Vienna, May 2009: pdf
- Talk at workshop "Mathemtical Theory of Resonances" at Banff,
October 2008, pdf
- 2007 talk at Dynamics seminar in Toronto:
ps and
pdf
- 2007 talk about nodal sets: ps and
pdf
- 2007 "Soup and Science" talk at McGill:
ps and pdf
- 2006 Eastern Section meeting of the AMS, Durham, NH; April
22-23, 2006: (ps and
pdf)
- Insitut Henri Poincare, July 2005
- Cambridge, June/July 2004
Back to
Dmitry Jakobson's Homepage.