Abstract: We study ergodic properties of multiclass multi-server queues, which are uniform over scheduling policies, as well as the size n of the system.  The system is heavily loaded in the Halfin-Whitt regime, and the scheduling

Data assimilation refers to the problem of estimation of state of a high dimensional chaotic system given noisy, partial observations of the system.

Abstract: A function's excursion set is the sub-domain where its value exceeds some threshold. Some key examples illustrating the central role that excursion sets play in different application areas are as follows.

Abstract: The communication complexity of a function f(x,y) is the number of bits that Alice and Bob need to communicate in order to compute f, when Alice has x and Bob has y.