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.
Stumbling around in a changing world

Random walks are popularly described as a drunkard’s path down the streets. What happens when the streets also start to move?