Matthias Erbar, Jan Maas and Prasad Tetali Ricci curvature bounds for Bernoulli-Laplace and random transposition models Ann. Fac. Sci. Toulouse Math., ArXiv e-prints, 24(4): 781-800 2015 http://arxiv.org/abs/1409.8605
Abstract: We calculate a Ricci curvature lower bound for some classical examples of random walks, namely, a chain on a slice of the $n$-dimensional discrete cube (the so-called Bernoulli-Laplace model) and the random transposition shuffle of the symmetric group of permutations on $n$ letters.