Geodesic
Asymptotics of distributions of random walks on multidimensional Pascal graphs and on root lattices
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXI, Tome 403 (2012), pp. 158-171

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A correspondence is established between random walks on Pascal graphs and on root lattices and Bernoulli schemes. Asymptotics of entropies and of random element probabilities are derived, also limiting structural properties are described for the sequences of state and trajectory distributions of the processes. 
@article{ZNSL_2012_403_a10,
     author = {E. M. Rudo},
     title = {Asymptotics of distributions of random walks on multidimensional {Pascal} graphs and on root lattices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {158--171},
     publisher = {mathdoc},
     volume = {403},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_403_a10/}
}
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E. M. Rudo. Asymptotics of distributions of random walks on multidimensional Pascal graphs and on root lattices. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXI, Tome 403 (2012), pp. 158-171. http://geodesic.mathdoc.fr/item/ZNSL_2012_403_a10/