Analysis on Metrized Graphs REU Home Page
Research Experience for Undergraduates
University of Georgia
June 9 - July 11, 2003
Funded by a VIGRE grant from the National Science Foundation
Trailer
Introduction
Papers
Harmonic Analysis on Metrized Graphs (
PDF
), updated 7/24/2004
Metrized Graphs, Electrical Networks, and Fourier Analysis (
PDF
), updated 7/24/2004
Eigenvalues of Discrete and Continuous Laplacians on Graphs (
PDF
)
Notes
Eigenfunctions of the Laplacian and Eigenfunction Expansions (
PDF
) (
LaTeX
)
The Canonical Measure, Tau, and Discrete Approximations (
PDF
) (
LaTeX
)
A Guide to the Maple Networks Package (
HTML
) (
Maple
)
Random Walks: Notes for Phil's talk
(pdf)
(source)
and
examples
.
Problems attacked
Programs
laplacian.mpl
(Docs:
HTML
Maple
) (
Source
)
Data
Graph Biographies
A Class of Graphs with Small Tau (
PDF
) (
LaTeX
)
The Tau Constant for Banana Graphs (
MSWORD
)
Bibliography
Participants
Photos
mbaker@math.uga.edu
Last modified: July 24, 2004