Michail Loulakis

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We prove a strong form of the equivalence of ensembles for the invariant measures of zero range processes conditioned to a supercritical density of particles. It is known that in this case there is a single site that accomodates a macroscopically large number of the particles in the system. We show that in the thermodynamic limit the rest of the sites have(More)
Network Utility Maximization (NUM) is often applied for the cross-layer design and optimization of wireless networks. In most approaches, the NUM framework is based on the assumption of known or ideal wireless channel conditions. However, realistic wireless channel capacities are stochastic (time-varying and random) bearing time-varying statistics,(More)
Network Utility Maximization is often applied for the cross-layer design of wireless networks considering known wireless channels. However, realistic wireless channel capacities are stochastic bearing time-varying statistics, necessitating the redesign and solution of NUM problems to capture such effects. Based on NUM theory we develop a framework for(More)
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