Generalized Schr\"odinger semigroups on infinite graphs
Mathematical Physics
2013-06-26 v1 Functional Analysis
math.MP
Probability
Abstract
With appropriate notions of Hermitian vector bundles and connections over weighted graphs which we allow to be locally infinite, we prove Feynman-Kac-type representations for the corresponding semigroups and derive several applications thereof.
Keywords
Cite
@article{arxiv.1306.6062,
title = {Generalized Schr\"odinger semigroups on infinite graphs},
author = {Batu Gûneysu and Ognjen Milatovic and Francoise Truc},
journal= {arXiv preprint arXiv:1306.6062},
year = {2013}
}