Generalized Schr\"odinger semigroups on infinite graphs
classification
🧮 math-ph
math.FAmath.MPmath.PR
keywords
graphsinfinitesemigroupsallowapplicationsappropriatebundlesconnections
read the original 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.
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