Markov processes on time-like graphs

Details Markov processes on time-like graphs Markov processes on time-like graphs

2009-12-02

arxiv.org/abs/0912.0328v2

Mathematics

Probability

Scientific paper

We study Markov processes where the "time" parameter is replaced by paths in a directed graph from an initial vertex to a terminal one. Along each directed path the process is Markov and has the same distribution as the one along any other directed path. If two directed paths do not interact, in a suitable sense, then the distributions of the processes on the two paths are conditionally independent, given their values at the common endpoint of the two paths. Conditions on graphs that support such processes (e.g., hexagonal lattice) are established. Next we analyze a particularly suitable family of Markov processes, called harnesses, which includes Brownian motion and other Levy processes, on such time-like graphs. Finally we investigate continuum limits of harnesses on a sequence of time-like graphs that admits a limit in a suitable sense.

Affiliated with

Also associated with

No associations

Rating

Markov processes on time-like graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Markov processes on time-like graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Markov processes on time-like graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-508268