Discrete Ricci curvature bounds for Bernoulli-Laplace and random   transposition models
  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. 
Matthias Erbar, Jan Maas, Prasad Tetali
math.PR