This paper proposes a retrial queueing model with the finite number of sources to evaluate the performance of spectrum renting in mobile cellular networks. The model incorporates necessary ingredients such as the finite number of subscribers, their impatience and a queue for the outbound service. To consider the specific feature of spectrum renting and the current mobile cellular technology, a ...

We study the linearized Bogoliubov excitation spectrum of infinitely long anharmonically trapped Bose-Einstein condensates, with the aim of overcoming inhomogeneous broadening. We compare the Bogoliubov spectrum of a harmonic trap with that of a theoretical flat-bottom trap and find a dramatic reduction in the inhomogeneous broadening of the lineshape of Bogoliubov excitations. While the Bragg ...

We construct the centralizer resolution of the spectrum EhS 1 2 in the category of K(2)-local spectra at the prime 2. We use the associated tower of fibrations to realize the duality resolution to a tower of fibrations whose limit is the spectrum EhS 1 2 . We also compute the Adams-Novikov spectral sequence for the spectrum tmf without assuming the ring structure on the spectrum and compute π∗E...

The aim of this short note is to explain important spectral phenomenon which can be observed for differential operators appearing in problems of magnetic hydrodynamics. This phenomenon are due to the nonperturbative behavior of the essential spectrum. It has been observed that the essential spectrum of a matrix differential operator on a finite interval can be different from the limit of the es...