A distributed control architecture is presented that is intended to make a collection of heterogeneous loads appear to the grid operator as a nearly perfect battery. Local control is based on randomized decision rules advocated in prior research, and extended in this paper to any load with a discrete number of power states. Additional linear filtering at the load ensures that the input-output d...

The rigorous derivation of Fourier’s law of heat conduction for an interacting system of Hamiltonian particles is a classical and fundamental goal of statistical physics. I will consider the ball-piston system which is a dimension-reduced-version of a 2008 model of Gaspard and Gilbert. The direct aim is to treat its rare interaction limit leading to the mesoscopic master equation, i. e. to a Ma...

The dynamics near a perturbed degenerate homocfinic connection to a periodic orbit in three dimensions is modeled by a two-parameter map. One parameter controls the passage of the manifolds of the orbit through one another, and the other breaks the degeneracy and causes the manifolds to intersect transversely. An analysis of the map recovers the results of Gaspard and Wang (1987), relating to t...

Jean-Marc Gaspard Itard, a student of René Laennec's, first recognized pneumothorax in 1803, and Laennec himself described the full clinical picture of the condition in 1819. Treatment of pneumothorax was not begun as a standard procedure until World War II, but we think that Serefeddin Sabuncuoglu recognized the condition and applied treatment in the 15th century.Sabuncuoglu (1385-1470) was a ...

Today, multi-core design has become the trend of enhancing the processor’s performance, and most industries have been considering multi-core as the future of development. Thus, a programmer or a compiler explicitly parallelizes the software, which is the key to enhance the performance on multi-core design. Nevertheless, currently, needs an in-depth knowledge of both software and hardware design...