A110899 Number of different stationary distributions of a certain random walk whose states are permutations of 1,...,n. The transitions depend on two sorted vectors x and z. The state sigma goes to rank((z[sigma]-x)[rperm] +x), where rperm is a random (uniform) permutation. If x and z are realizations of independent random variables X and Z and pi is a permutation drawn from the stationary distribution, the vector z[pi]-x is a realization of a random variable Y where Z ~ X+Y.

0, 1, 2, 208

Offset

0,3

Links

Table of n, a(n) for n=0..3.

C. L. Mallows, Deconvolution by simulation, arXiv:0708.1051 [stat.CO].

C. L. Mallows, Deconvolution by simulation

Example

If n=2, the transition matrix is one of (0.5, 0.5), (1, 0.5), (0.5, 0.5), or (0, 0.5). The stationary distributions are (0.5, 0.5) and (1, 0).

Crossrefs

Sequence in context: A209185 A216608 A238819 * A363461 A281126 A220940

Adjacent sequences: A110896 A110897 A110898 * A110900 A110901 A110902

Keyword

hard,nonn,more

Author

Colin Mallows, Sep 20 2005

Status

approved