Research summary
Discrete events are those that have a finite number of possible outcomes, such as the roll of a pair of dice or the flip of a coin. Discrete probability is the structure and dynamics of random discrete systems. This ?ourishing field connects probability theory with statistical physics, combinatorics, population genetics, algorithm analysis, and computational complexity. As Canada Research Chair in Discrete Probability, Dr. Louigi Addario-Berry is trying to advance this field of mathematics.
He and his research team are focusing on large random structures, such as random graphs, trees or maps. These structures are frequently endowed with a second layer of randomness, such as a random spanning tree, a random walk, or an interacting particle system. Addario-Berry and his team are studying models that are rich enough to predict aspects of the phenomenology (the scientific study of subjective experiences) of large, complex, real-world systems, but simple enough to be analytically manageable.