Cutoff profile of the Metropolis biased card shuffling
Cutoff profile of the Metropolis biased card shuffling
We consider the Metropolis biased card shuffling (also called the multi-species ASEP on a finite interval or the random Metropolis scan). Its convergence to stationarity was believed to exhibit a total-variation cutoff, and that was proved a few years ago by Labbé and Lacoin (Ann. Probab. 47 (2019) 1541–1586). In …