Mathematics – Probability
Scientific paper
2006-08-10
IMS Lecture Notes--Monograph Series 2006, Vol. 48, 154-168
Mathematics
Probability
Published at http://dx.doi.org/10.1214/074921706000000185 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/
Scientific paper
10.1214/074921706000000185
. Markov chains in time, such as simple random walks, are at the heart of
probability. In space, due to the absence of an obvious definition of past and
future, a range of definitions of Markovianity have been proposed. In this
paper, after a brief review, we introduce a new concept of Markovianity that
aims to combine spatial and temporal conditional independence.
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