The square lattice shuffle, correction

1. A CORRECTION Theorem 3.6 in [1] contains an error in the stated bound. As is argued above the theorem, the statistical distance to the uniform distribution decreases by a factor O ( (m/ log m)−1/2 ) = O ((log n)1/2n−1/4) for every two iterations. This implies that the bound obtained for Theorem 3.6 should read O ( n1− t−1 2 1 4 (log n) t−1 2 1 2 ) . I am grateful to Justin Holmgren for pointing out this correction.