Geodesic
The entropy of Gibbs measures on sofic groups
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXV, Tome 436 (2015), pp. 34-48

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We show that for every local potential on a sofic group there exists a shift-invariant Gibbs measure. Under some condition we show that the sofic entropy of the corresponding shift action does not depend on a sofic approximation. 
@article{ZNSL_2015_436_a1,
     author = {A. Alpeev},
     title = {The entropy of {Gibbs} measures on sofic groups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {34--48},
     publisher = {mathdoc},
     volume = {436},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_436_a1/}
}
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A. Alpeev. The entropy of Gibbs measures on sofic groups. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXV, Tome 436 (2015), pp. 34-48. http://geodesic.mathdoc.fr/item/ZNSL_2015_436_a1/