We show how distributed control of reactive power can serve to regulate voltage and
minimize resistive losses in a distribution circuit that includes a significant level of …

We study the thermodynamic properties of a microscopic model of coupled oscillators that
exhibits a dynamical phase transition from a desynchronized to a synchronized phase. We …

Efficient resource allocation is an important problem that aims for a “greener” and more
environmentally friendly electric power grid. The smart behavior of the newly emerged grid …

We consider a dynamic matching model with random arrivals–a stochastic version of the
bipartite matching model. As in the static setting, it is based on a bipartite graph—a simple …

We study the evolution of fast blackout cascades in the model of the Polish (transmission)
power grid (2700 nodes and 3504 transmission lines). The cascade is initiated by a …

We present a novel algorithm for economic dispatch in electric power grids. The method is
inspired by statistical inference methods. Using discretized optimization variables, our …

Computational and communication complexities call for distributed, robust, and adaptive
control. This paper proposes a promising way of bottom-up design of distributed control in …

A dynamic bipartite matching model is given by a bipartite matching graph which determines
the possible matchings between the various types of supply and demand items. Both supply …

We study the performance of stochastic matching models with general compatibility graphs.
Items of different classes arrive to the system according to independent Poisson processes …

The Bose-Einstein condensation of noninteracting particles restricted to move on the sites of
hierarchical diamond lattices is investigated. Using a tight-binding single-particle …