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Guaranteeing a good shuffle of cards

Four friends, Mark, Richa, Peter and Tom, play cards every evening. Peter is a probabilist while the other three work in algebra. On one evening they become bored of riffle shuffling.

Eigenvalues to the rescue

On a quiet afternoon, professor Meth is working in her office in Leiden on some tantalizing mathematics problems. Suddenly, someone knocking on her door nervously disrupts the silence.