Combinatorial Laplacians on Infinite Graphs

Thursday, October 31, 2013 - 2:00pm - 2:50pm
Keller 3-180
Jozef Dodziuk (City University of New York)
I will review several examples where techniques motivated by ideas in
Partial Differential Equations and Differential Geometry lead to interesting
results about difference equations on graphs, most notably the combinatorial
Laplacian. Examples will include the maximum principle, Harnack inequality,
Cheeger's inequality and a recent result about surjectivity of combinatorial
Laplacian for infinite graphs.
MSC Code: