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Brownian Motions on Metric Graphs with Non-Local Boundary Conditions II: Construction
Florian Werner
A pathwise construction of discontinuous Brownian motions on metric graphs is given for every possible set of non-local Feller-Wentzell boundary conditions. This construction is ac…
Brownian Motions on Metric Graphs with Non-Local Boundary Conditions I: Characterization
Florian Werner
A classification for Brownian motions on metric graphs, that is, right continuous strong Markov processes which behave like a one-dimensional Brownian motion on the edges and featu…
Brownian Motions on Star Graphs with Non-Local Boundary Conditions
Florian Werner
Brownian motions on star graphs in the sense of Itô-McKean, that is, Walsh processes admitting a generalized boundary behavior including stickiness and jumps and having an angular…
Concatenation and Pasting of Right Processes
Florian Werner
A universal method for the concatenation of a sequence of Markov right processes is established. It is then applied to the continued pasting of two Markov right processes, which ca…