25 citations · 106 across the 23 of their papers we have counts for
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math.PR2012★ 11 cited
Cut-off phenomenon in the uniform plane Kac walk
Bob Hough, Yunjiang Jiang
We consider an analogue of the Kac random walk on the special orthogonal group , in which at each step a random rotation is performed in a randomly chosen 2-plane of $\bR^N$…
math.PR2012★ 5 cited
Smallest Gaps Between Eigenvalues of Random Matrices With Complex Ginibre, Wishart and Universal Unitary Ensembles
Dai Shi, Yunjiang Jiang
In this paper we study the limiting distribution of the smallest gaps between eigenvalues of three kinds of random matrices -- the Ginibre ensemble, the Wishart ensemble and th…
math.PR2012★ 1 cited
Mixing time of Metropolis chain based on random transposition walk converging to multivariate Ewens distribution
Yunjiang Jiang
We prove sharp rates of convergence to the Ewens equilibrium distribution for a family of Metropolis algorithms based on the random transposition shuffle on the symmetric group, wi…