1 citations · 1 across the 5 of their papers we have counts for
5 papers
Computability of Pressure for Subshifts on Countable Amenable Groups
C. Evans Hedges, Ronnie Pavlov
There are a variety of results in the literature proving forms of computability for topological entropy and pressure on subshifts. In this work, we prove two quite general results,…
The extended Hausdorff dimension spectrum of a conformal iterated function system is maximal
Andrei E. Ghenciu, Ronnie Pavlov
For any conformal iterated function system (CIFS) consisting of finitely or countably many maps, and any closed shift-invariant set of right-infinite sequences of such maps, one ca…
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 :…
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…
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…