Abstract: With the proposition to install a large number of phasor measurement units (PMUs) in the future electric grid, it is essential to provide robust communications infrastructure for phasor data across the network.

Abstract: Determinantal point processes form an important class of point processes with negative correlations ("repulsion"). We give an overview starting from definitions.

Abstract: An infinite graph may have the property that two independent random walks on the graph  never meet each other, although each of them visits every vertex of the graph infinitely often.

Abstract: Adaptive MCMC algorithms are designed to tune the chain properly to decrease the time to convergence to stationary.

Abstract: Propp and Wilson showed how to generate a Markov chain which in a finite number of steps gives a sample from the stationary distribution supported by a countable set.