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math.FA2018★ 1 cited
Markov operators generated by symmetric measures
Sergey Bezuglyi, Palle E. T. Jorgensen
With view to applications, we here give an explicit correspondence between the following two: (i) the set of symmetric and positive measures on one hand, and (ii) a certain fam…
math.FA2018
Graph Laplace and Markov operators on a measure space
Sergey Bezuglyi, Palle E. T. Jorgensen
The main goal of this paper is to build a measurable analogue to the theory of weighted networks on infinite graphs. Our basic setting is an infinite -finite measure space $(V,…