detailed balance

Noun

Meaning

detailed balance (plural detailed balances)

English Wikipedia has an article on:detailed balanceWikipedia
(mathematics, probability theory) a Markov process is said to show detailed balance if the transition rates between each pair of states i and j in the state space obey





P

i
j



π

i


=

P

j
i



π

j





{\displaystyle P_{ij}\pi _{i}=P_{ji}\pi _{j}\,}


where P is the Markov transition matrix and




π

i




{\displaystyle \pi _{i}}

and




π

j




{\displaystyle \pi _{j}}

are the equilibrium probabilities of being in states i and j, respectively.

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