A threshold autoregressive (TAR) model is an important class of nonlinear time series models that possess many desirable features such as asymmetric limit cycles and amplitude-dependent frequencies.

We consider the expected performance of two greedy matching algorithms on sparse random graphs and also on random trees. In all cases we establish expressions for the mean and variance of the number ...

Single-particle tracking (SPT) is often the rate-limiting step in live-cell imaging studies of subcellular dynamics. Here we present a tracking algorithm that addresses the principal challenges of SPT ...