Mathematics – Probability
Scientific paper
2004-10-06
Annals of Probability 2004, Vol. 32, No. 2, 1370-1390
Mathematics
Probability
Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imsta
Scientific paper
10.1214/009117904000000234
We present two path decompositions of Markov chains (with general state
space) by means of harmonic functions, which are dual to each other. They can
be seen as a generalization of Williams' decomposition of a Brownian motion
with drift. The results may be illustrated by a multitude of examples, but we
confine ourselves to different types of random walks and the Polya urn.
Kersting Götz
Memisoglu Kaya
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