Laplacian Eigenvalues and Eigenfunctions: Theory, Computation, Application

February 9 - 13, 2009

Schedule


Monday, February 9, 2009

9:00 - 10:00
10:15 - 11:15
1:00 - 2:00
2:15 - 3:15
Fan Chung-Graham (University of California, San Diego (UCSD))

PageRank as a discrete Green's function

3:30 - 4:30
Naoki Saito (University of California, Davis (UC Davis))

Analysis of Neuronal Dendrite Patterns Using Graph Laplacians
PDF Presentation


Tuesday, February 10, 2009

9:00 - 10:00
Terence Tao (University of California, Los Angeles (UCLA))

Harmonic functions on groups of polynomial growth

10:15 - 11:15
Kate Okikiolu (University of California, San Diego (UCSD))

The sum of squares of wavelengths of a closed surface

1:00 - 2:00
2:15 - 3:15
Martin Reuter (Massachusetts Institute of Technology)

Spectral Methods for Non-Rigid Shape Analysis

3:30 - 4:30
Francois Meyer (University of Colorado, Boulder)

Image de-noising on the manifold of patches: a spectral approach


Wednesday, February 11, 2009

9:00 - 10:00
10:15 - 11:15
Denis Grebenkov (École Polytechnique)

Laplacian Eigenfunctions in NMR
PDF Presentation

1:00 - 2:00
2:15 - 3:15
Krzysztof Burdzy (University of Washington)

On the Robin problem in fractal domains
PDF Presentation

3:30 - 4:30
Stephane Nonnenmacher (Service de Physique Theorique CEN Saclay)

Mode localization on chaotic manifolds: an entropy approach (Collab. with N.Anantharaman)
PDF Presentation


Thursday, February 12, 2009

9:00 - 10:00
10:15 - 11:15
1:00 - 2:00
2:15 - 3:15
Gregory Beylkin (University of Colorado, Boulder)

On approximation of operators by Gaussians
PDF Presentation

3:30 - 4:30

Friday, February 13, 2009

9:00 - 10:00
Michel Lapidus (University of California, Riverside (UC Riverside))

Spectra of Laplacians on Fractal Domains

10:15 - 11:15
Maciej Zworski (University of California, Berkeley (UC Berkeley))

Resonances for chaotic open systems
PDF Presentation

1:00 - 2:00
Arnd Backer (Technishche Universtitat Dresden)

Surprises in the time-evolution of wave-packets

2:15 - 3:15
3:30 - 4:30