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20102024
most citedApproximating entropy for a class of $\zz^2$ Markov Random Fields and pressure for a class of functions on $\zz^2$ shifts of finite type

1 citations · 1 across the 5 of their papers we have counts for

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math.DS2022

Measure-Theoretically Mixing Subshifts with Low Complexity

Darren Creutz, Ronnie Pavlov, Shaun Rodock

We introduce a class of rank-one transformations, which we call extremely elevated staircase transformations. We prove that they are measure-theoretically mixing and, for any $f :…

math.DS2012

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

Brian Marcus, Ronnie Pavlov

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…

math.DS2010★ 1 cited

Approximating entropy for a class of $\zz^2$ Markov Random Fields and pressure for a class of functions on $\zz^2$ shifts of finite type

Brian Marcus, Ronnie Pavlov

For a class of $\zz^2$ Markov Random Fields (MRFs) , we show that the sequence of successive differences of entropies of induced MRFs on strips of height converges exponenti…