Detailed Balance
A reversibility condition pi(x)K(x,x') = pi(x')K(x',x): probability flow between every pair of states balances exactly, which is a sufficient (not necessary) condition for pi to be the chain's stationary distribution.
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A reversibility condition pi(x)K(x,x') = pi(x')K(x',x): probability flow between every pair of states balances exactly, which is a sufficient (not necessary) condition for pi to be the chain's stationary distribution.
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