Publications
Papers
- 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." American Journal of Mathematics,
vol. 131, no. 4. (2009), no. 4, 1109-1135.
(ps
and pdf)
- D. Jakobson, A. Strohmaier and S. Zelditch. "On the spectrum
of geometric operators on Kahler manifolds."
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." Journal of Analysis and PDE, vol. 3
(2010), no. 2, 207-225.
pdf
- Y. Canzani, D. Jakobson and I. Wigman. "Scalar curvature and
Q-curvature of random metrics." Short announcement:
pdf,
Electronic Research announcements in Mathematical Sciences,
Volume 17, 2010,
pp. 43-56. Long version:
pdf. Journal of Geometric
Analysis, Volume 24, Issue 4 (2014), 1982-2019.
DOI 10.1007/s12220-013-9406-9
- D. Jakobson and F. Naud. "On the critical line of convex co-compact
hyperbolic surfaces."
pdf and
ps. GAFA vol. 22, no. 2 (2012),
352-368.
- T. Aissiou, D. Jakobson and F. Macia. "Uniform estimates for the
solutions of the Schrodinger equation on the torus and regularity of
semicalssical measures." pdf.
Mathematical Research Letters 19 (2012), no. 3, pp. 589-599;
final journal version.
- Y. Canzani, D. Jakobson, R. Gover and R. Ponge. "Conformal
invariants from nodal sets."
pdf, arxiv:1208.3040.
IMRN 2014, 2356-2400.
Advance access version, doi: 10.1093/imrn/rns295.
Short announcement: "Nullspaces of Conformally
Invariant Operators. Applications to Q_k-curvature."
pdf, arxiv:1206.0517,
published online in Electronic Research Announcements
in Mathematical Sciences, Vol. 20 (2013), pp. 43-50.
- Y. Canzani, D. Jakobson and J. Toth. "On the distribution of
propagated Schrodinger eigenfunctions." Jour.
of Spectral Theory 4 (2) (2014), 283-307.
pdf, arxiv:1210.4499
- L. Chen and D. Jakobson. "Gaussian free fields and KPZ relation
in R^4." pdf, arxiv:1210.8051
Annales Henri Poincare 15 (2014), 1245-1283.
- D. Jakobson, A. Strohmaier and Y. Safarov. "The semiclassical
theory of discontinuous systems and ray-splitting billiards."
with an Appendix by Yves Colin de Verdiere.
pdf, arxiv:
1301.6783 American Journal of Mathematics 137, No. 4 (2015),
859-906.
- B. Clarke, D. Jakobson, N. Kamran, L. Silberman and J. Taylor.
"Manifold of metrics with fixed volume form."
pdf. With an appendix
by Y. Canzani, D. Jakobson and L. Silberman. arxiv:1309.1348
Annales Mathematiques du Quebec 39, No. 2 (2015), 129-145.
- D. Jakobson, T. Ng, M. Stevenson and M. Suzuki. "Conformally
Covariant Operators and Conformal Invariants on Weighted Graphs."
pdf.
Geometriae Dedicata 174 (2015), 339–357.
- D. Jakobson and F. Naud. "Resonances and convex co-compact congruence
subgroups of PSL(2,Z)." Israel Jour. of Math. 2016,
vol. 213 (2016), 443-473.
arxiv:1409.2809
- D. Jakobson and F. Naud. "On the nodal lines of Eisenstein series
on Schottky surfaces." Communications in Mathematical Physics
Volume 351 (2017), 493–523. Preprint version: pdf
- V. Apostolov, D. Jakobson and G. Kokarev. "An extremal eigenvalue
problem in Kahler geometry." J. Geom. Phys. 91 (2015), 108–116.
arxiv:1411.7725
- A. Rod Gover, A. Hassannezhad, D. Jakobson and M. Levitin.
"Zero and negative eigenvalues of the conformal Laplacian."
Jour. of Spectral Theory, Volume 6 (2016), 793–806.
arxiv:1511.08524
pdf
- D. Dolgopyat and D. Jakobson. "On small gaps in the length
spectrum." pdf
Journal of Modern Dynamics 10 (2016), 339-352.
- D. Jakobson, C. MacRury, S. Norin and L. Turner. "Distribution
of coefficients of rank polynomials for random sparse graphs,"
pdf.
Electronic Journal of Combinatorics 25, issue 4 (2018), P4.50
- D. Jakobson, F. Naud and L. Soares. "Large covers and sharp resonances
of hyperbolic surfaces." To appear in Ann. Inst. Fourier.
arxiv:1710.05666
- G. Cox, D. Jakobson, M. Karpukhin and Y. Sire. "Conformal invariants
from nodal sets II: manifolds with boundary."
pdf arXiv:1905.06136
- D. Jakobson, T. Langsetmo, I. Rivin and L. Turner. "Rank and
Bollobas-Riordan polynomials: coefficient measures and zeros,"
pdf. CRM Proceedings,
AMS Contemporary Mathematics series, Vol. 739, 63-96.
Books edited
- D. Jakobson, S. Nonnenmacher and I. Polterovich, eds.
"Spectrum and Dynamics: Proceedings of the Workshop Held in
Montreal, QC, April 7-11, 2008." CRM Proceedings and Lecture Notes
Volume 52 (2010), 207 pp.
- P. Albin, D. Jakobson and F. Rochon, eds. "Geometric and
Spectral Analysis." Contemporary Mathematics,
Volume 630 (2014)
- Y. Canzani, L. Chen and D. Jakobson, eds. "Probabilistic Methods in
Geometry, Topology and Spectral Theory." AMS Contemporary
Mathematics Series,
Volume 739 (2019)
Talks
- Talk at 2015 SMS on Geometric and Spectral Theory at CRM:
pdf
- Talk on Resonances:
pdf
- Talk about scalar and Q-curvature of random metrics:
pdf
- 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
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