Mathematics and Statistics Colloquium
Friday (10/5/2007) at 2:30pm in 304 Pickard Hall
Speaker: Dr. Peter Kuchment,
Department of Mathematics
Texas A&M University
(Local host: G. Ambartsoumian)
"Analysis on graphs and its applications"
(PDF file of the talk)
The talk will be a non-technical survey of recent activities that involve
analytic problems and approaches on discrete structures. Here one
considers discrete counterparts of objects from PDEs, spectral theory,
differential geometry, etc. The need for studying such objects and
problems stems from many areas of contemporary sciences and technology:
from various areas of mathematics, computer science, mathematical physics,
optics, mesoscopic physics, waveguide theory, chemistry,
material science, nanotechnology.
The main varieties over which such problem are considered include in
particular the usual (combinatorial) graphs, quantum graphs, and
A list of references to the basic sources (books, surveys and collections
of articles) will be also provided.