Short Talk: Maximillian Newman

In genetics, certain statistical quantities are governed by a tree structure, called a coalescent, whose law is determined by a scaling limit of random walks on random graphs. Classical coalescent theory describes a limiting law for these coalescents by, implicitly, averaging over these graphs. Recent work has examined what random limiting laws one may describe when one instead conditions on these random graphs. The limiting random laws and the averaged-over laws are known to coincide when there is a suitable "propagation of chaos" for the random walks.