Computing bounds for entropy of stationary Z^d Markov random fields

Details Computing bounds for entropy of stationary Z^d Markov random fields Computing bounds for entropy of stationary Z^d Markov random fields

2012-04-12

arxiv.org/abs/1204.2612v1

Mathematics

Dynamical Systems

Scientific paper

For any stationary $\mZ^d$-Gibbs measure that satisfies strong spatial
mixing, we obtain sequences of upper and lower approximations that converge to
its entropy. In the case, $d=2$, these approximations are efficient in the
sense that the approximations are accurate to within $\epsilon$ and can be
computed in time polynomial in $1/\epsilon$.

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