Alexander Holroyt

Suppose that infinitely many red and blue points occur at random locations in Euclidean space, and consider translation-invariant schemes for perfectly matching red points to blue points. (Translation-invariance can be interpreted as meaning that the...

Alice and Bob compete in a game of skill, making moves alternately until one or other reaches a winning position, at which the game ends. Or, perhaps neither player can force a win, in which case optimal play continues forever, and we say that the...

How can individuals cooperate to satisfy local constraints without a central authority? Examples might include autonomous drones navigating in a swarm, or university departments scheduling their seminars. Individuals can make random choices and...