The cutoff profile for random transpositions on repeated cards is asymptotically Gaussian for growing multiplicity l, with explicit forms depending on whether the number of types m is fixed or grows.
Time to reach stationarity in the bernoulli–laplace diffusion model with many urns.Ad- vances in Applied Mathematics, 18(3):351–371
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The Cutoff Profile for Random Transpositions on Repeated Cards in the Full Range of Parameters
The cutoff profile for random transpositions on repeated cards is asymptotically Gaussian for growing multiplicity l, with explicit forms depending on whether the number of types m is fixed or grows.