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Generators of Markov Chains - From a Walk in the Interior to a Dance on the Boundary (Hardcover)
Loot Price: R1,509
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Generators of Markov Chains - From a Walk in the Interior to a Dance on the Boundary (Hardcover)
Series: Cambridge Studies in Advanced Mathematics
Expected to ship within 12 - 17 working days
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Elementary treatments of Markov chains, especially those devoted to
discrete-time and finite state-space theory, leave the impression
that everything is smooth and easy to understand. This exposition
of the works of Kolmogorov, Feller, Chung, Kato, and other
mathematical luminaries, which focuses on time-continuous chains
but is not so far from being elementary itself, reminds us again
that the impression is false: an infinite, but denumerable,
state-space is where the fun begins. If you have not heard of
Blackwell's example (in which all states are instantaneous), do not
understand what the minimal process is, or do not know what happens
after explosion, dive right in. But beware lest you are enchanted:
'There are more spells than your commonplace magicians ever dreamed
of.'
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