On occupation time functionals for diffusion processes and birth-and-death processes on graphs
The author makes use of Krein's theory to get results for diffusion processes on graphs. It is shown that, if the process is of interest only during the time it spends on a certain part of the graph, then the graph can be replaced by a simpler one. Some explicitly calculated examples illustrating an application of the results are presented.
scientific article; zbMATH DE number 1906230
scientific article