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math.PR2019
The Infinite Limit of Separable Permutations
Ross G. Pinsky
Let denote the uniform probability measure on the set of separable permutations in . Let with an appropriate metric…
math.PR2019
Permutations avoiding a pattern of length three under Mallows distributions
Ross G. Pinsky
We consider permutations avoiding a pattern of length three under the family of Mallows distributions. In particular, for any pattern , we obtain rather precise r…
math.PR2019
Kemeny's constant for one-dimensional diffusions
Ross G. Pinsky
Let be a non-degenerate, positive recurrent one-dimensional diffusion process on with invariant probability density , and let $τ_y=\inf\{t\ge0: X(t)=y…