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Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Multifractal analysis linearization effect compound Poisson motion
2011/3/3
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
Optimal Utility-Energy tradeoff in Delay Constrained Random Access Networks
Optimal Utility-Energy tradeoff Delay Constrained Random Access Networks
2010/11/24
Rate, energy and delay are three main parameters of interest in ad-hoc networks. In this paper, we discuss the problem of maximizing network utility and minimizing energy consumption while satisfying...
Some two-dimensional finite energy percolation processes
Some two-dimensional energy percolation processes
2010/11/18
Some examples of translation invariant site percolation processes on the $\Z^2$ lattice are constructed, the most far-reaching example being one that satisfies uniform finite energy (meaning that the...
Existence of Spherically Symmetric Initial Data with Zero Energy, Unit Mass, and Virial less than - 1/2 for the Relativistic Vlasov-Poisson Equation with Attractive Coupling
Zero Energy Unit Mass
2010/11/19
In a recent paper, Kiessling and Tahvildar-Zadeh proved that any spherically symmetric classical solution of the attractive relativistic Vlasov-Poisson equation launched by sufficiently regular initi...
Regular hyperbolicity, dominant energy condition and causality for Lagrangian theory of maps
Regular hyperbolicity dominant energy condition Lagrangian theory
2010/11/19
The goal of the present paper is three-fold. First is to clarify the connection between the dominant energy condition and hyperbolicity properties of Lagrangian field theories. Second is to provide fu...
A Cyber Security Study of a SCADA Energy Management System: Stealthy Deception Attacks on the State Estimator
A Cyber Security Study SCADA Energy Management System
2010/11/15
The electrical power network is a critical infrastructure in today's society, so its safe and reliable operation is of major concern. State estimators are commonly used in power networks, for example,...
A mixed mean-field/BCS phase with an energy gap at high $T_c$
mixed mean-field/BCS phase energy gap
2010/11/1
We construct a pair potential which in a scaling limit leads to a Hamiltonian that generates co-existing mean-field and superconducting phases. Depending on the relative values of the coupling constan...