Publications of Daniel Grieser
- On the representing number of intersecting families, Arch.Math. 49 (1987),
114-118 (with M. Aigner and P. Erdös).
- Hook-free colorings and a problem of Hanson, Combinatorica 8(2) (1988),
143-148 (with M. Aigner).
- Some results on the complexity of families of sets, Disc.Math. 88 (1991),
179-192.
- Counting complements in the partition lattice, and hypertrees, J.Comb.Th.A
57 (1991), 144-150.
- L^p bounds for eigenfunctions and spectral
projections of the Laplacian near concave boundaries, (pdf file) Dissertation,
UCLA, 1992.
- Asymptotics of the first nodal line,
in Journees ``Equations aux derivees partielles'' St-Jean-de-Monts 1995 (with
D. Jerison).
- Asymptotics
of the first nodal line of a convex domain, Inventiones Math. 125 (1996),
197-219 (with D. Jerison).
- The size of the first eigenfunction
of a convex planar domain, Journal of the AMS 11 (1998), 41-72 (with D.
Jerison).
- Symmetry
breaking and other phenomena in the optimization of eigenvalues for composite
membranes, Comm. Math. Physics 214 (2000), 315-337 (with S. Chanillo and
K. Kurata - on the theory, and M. Imai and I. Ohnishi - on the numerics).
- The free boundary problem in the
optimization of composite membranes, in: Differential Geometric Methods
in the Control of Partial Differential Equations, R. Gulliver et al. (eds),
Cont. Math. 268 (2000), 61-81 (with S. Chanillo and K. Kurata).
- Basics of the b-calculus, in J.B.Gil
et al. (eds.), Approaches to Singular Analysis, 30-84, Operator Theory: Advances
and Applications, 125. Advances in Partial Differential Equations, Birkhäuser,
Basel, 2001.
- Singular asymptotics lemma and Push-forward
theorem, in J.B.Gil et al. (eds.), Approaches to Singular Analysis, 117-130,
Operator Theory: Advances and Applications, 125. Advances in Partial Differential
Equations, Birkhäuser, Basel, 2001 (with M. Gruber).
- Probleme der singulären Analysis,
Habilitationsschrift, Mai 2001.
- Approaches to Singular Analysis, Operator Theory: Advances and Applications,
125. Advances in Partial Differential Equations, Birkhäuser Verlag, Basel,
2001 (as editor with J. Gil and M. Lesch).
- Uniform bounds for eigenfunctions of the
Laplacian on compact manifolds with boundary, Comm. PDE 27 (2002), 1283-1299.
- Quasiisometry of singular metrics, Houston
J. Math 28 (2002), 741-752.
- On the L^2-Stokes theorem and Hodge
theory for singular algebraic varieties, Math. Nachr. 246-247 (2002),
68-82 (with M. Lesch).
- Local
geometry of singular real analytic surfaces, Trans. Amer. Math. Soc.355
(2003), 1559-1577.
- Cheeger's inequality revisited, Oberwolfach Reports No. 39/2005. (Full volume)
- The first eigenvalue of the Laplacian,
isoperimetric constants, and the Max Flow Min Cut Theorem, Archiv der
Mathematik 87 (2006), 75-85.
- Geodesics on singular surfaces, Oberwolfach Reports No. 41/2007. (Full volume)
- Spectra of graph neighborhoods and scattering, Proceedings of the London Mathematical Society 97 (2008), 718-752.
- Asymptotics of eigenfunctions on plane domains (with D. Jerison), Pacific J. of Mathematics 240 (2009), 109-133.
- Monotone unitary families, to appear in Proc. AMS, 2012.
- Thin tubes in mathematical physics, global analysis and spectral geometry, in: Analysis on Graphs and its Applications. Proceedings of Symposia in Pure Mathematics, P. Exner, J. Keating, P. Kuchment, T. Sunada, and A. Teplyaev (eds.), AMS, 2008, 565-594.
- Pseudodifferential operator calculus for generalized Q-rank 1 locally symmetric spaces, I (with E. Hunsicker),
Journal of Functional Analysis 257 (2009), pp. 3748-3801, doi:10.1016/j.jfa.2009.09.016
- Surface
plasmon resonances of an arbitrarily shaped nanoparticle: High frequency
asymptotics via pseudo-differential operators (with F. Rüting), J. Phys. A: Math. Theor. 42 135204 (6pp) doi: 10.1088/1751-8113/42/13/135204
- Perturbation theory for plasmonic eigenvalues (with S.-A. Biehs, M. Holthaus, O. Huth, F. Rüting, and H. Uecker), Phys. Rev. B 80 (2009), 245405 (8pp).
- A natural differential operator on conic spaces, Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden (2010), 2011 (10 pp).
- Hearing the shape of a triangle (with S. Maronna), Notices of the American Mathematical Society 60 (12/2013), 1440-1447.
- The plasmonic eigenvalue problem, wird erscheinen in Reviews in Mathematical Physics, 2014.
- The exponential map at a cusp singularity, preprint 2012, eingereicht.
- A Parametrix Construction for the Laplacian on Q-rank 1 Locally Symmetric Spaces (with E. Hunsicker), Proceedings of the Workshop on Fourier Analysis and Pseudo-Differential Operators, Aalto, Finland. Trends in Mathematics, Birkhäuser, Basel 2014.
- Mathematisches Problemlösen und Beweisen: Entdeckendes Lernen in der Studieneingangsphase, Beitrag zum Workshop 'Mathematiklernen an Schule und im Studium: Gemeinsamkeiten, Unterschiede und Konsequenzen' vom 22. bis 26. April 2013 am Hausdorff Research Institute for Mathematics (HIM) der Universität Bonn, 15 Seiten.
Abstracts of some of the publications (on arxiv.org)
Lehrbuch/Monograph
Books edited
- Approaches to Singular Analysis (with J.Gil and M.Lesch), Operator Theory: Advances
and Applications, 125.
Advances in Partial Differential Equations,
Birkhäuser Verlag, Basel, 2001.
- Microlocal Methods in Mathematical Physics and Global Analysis (with S.Teufel und A.Vasy), Trends in Mathematics / Research Perspectives, Birkhäuser Verlag, Basel, 2012.
Allgemeine mathematische Publikationen (auch für Studenten)/Publications directed at a general mathematical audience (in particular students)
Allgemeine Publikationen/Mathematics related publications for a general audience
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