Laplacian Eigenvalues and Eigenfunctions: Theory, Computation, Application

February 9 - 13, 2009

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 9, 2009

Morning Session
8:00 - 8:45 Continental Breakfast
8:45 - 9:00 Welcome and Opening Remarks
9:00 - 10:00
10:00 - 10:15 Break
10:15 - 11:15
11:30 - 1:00 Lunch (on your own)

Afternoon Session
1:00 - 2:00
2:00 - 2:15 Break
2:15 - 3:15
Fan Chung-Graham (University of California, San Diego (UCSD))

PageRank as a discrete Green's function

3:15 - 3:30 Break
3:30 - 4:30
Naoki Saito (University of California, Davis (UC Davis))

Analysis of Neuronal Dendrite Patterns Using Graph Laplacians
PDF Presentation
4:30 - 6:00 Welcome Reception and Poster Session

Tuesday, February 10, 2009

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 10:00
Terence Tao (University of California, Los Angeles (UCLA))

Harmonic functions on groups of polynomial growth

10:00 - 10:15 Break
10:15 - 11:15
Kate Okikiolu (University of California, San Diego (UCSD))

The sum of squares of wavelengths of a closed surface

11:30 - 1:00 Lunch (on your own)

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

Spectral Methods for Non-Rigid Shape Analysis

3:15 - 3:30 Break
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

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 10:00
10:00 - 10:15 Break
10:15 - 11:15
Denis Grebenkov (École Polytechnique)

Laplacian Eigenfunctions in NMR
PDF Presentation
11:30 - 1:00 Lunch (on your own)

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

On the Robin problem in fractal domains
PDF Presentation
3:15 - 3:30 Break
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

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 10:00
10:00 - 10:15 Break
10:15 - 11:15
11:30 - 1:00 Lunch (on your own)

Afternoon Session
1:00 - 2:00
2:00 - 2:15 Break
2:15 - 3:15
Gregory Beylkin (University of Colorado, Boulder)

On approximation of operators by Gaussians
PDF Presentation
3:15 - 3:30 Break
3:30 - 4:30

Friday, February 13, 2009

Morning Session
8:00 - 9:00 Continental Breakfast
9:00 - 10:00
Michel Lapidus (University of California, Riverside (UC Riverside))

Spectra of Laplacians on Fractal Domains

10:00 - 10:15 Break
10:15 - 11:15
Maciej Zworski (University of California, Berkeley (UC Berkeley))

Resonances for chaotic open systems
PDF Presentation
11:30 - 1:00 Lunch (on your own)

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

Surprises in the time-evolution of wave-packets

2:00 - 2:15 Break
2:15 - 3:15
3:15 - 3:30 Break
3:30 - 4:30