A generalization of carries process and riffle shuffles
  As a continuation to our previous work, we consider a generalization of carries process. Our results are : (i) right eigenvectors of the transition probability matrix, (ii) correlation of carries between different steps, and (iii) generalized riffle shuffle having the same distribution as that of the generalized carries process. 
Fumihiko Nakano and Taizo Sadahiro
math.PR math.CO