A is a continuous-time, real-valued stochastic process which has independent and Levy jump process stationary increments, with no Brownian component. We study some of the fundamental properties of Levy jump processes and develop inventory models for them. Of particular interest to us is the gamma-distributed Levy process, in which the demand that occurs in a fixed period of time has a gamma dis...

We analytically calculate the local density of states for Cauchy random band matrices with strongly fluctuating diagonal elements. The Breit-Wigner form for ordinary band matrices is replaced by a Levy distribution of index μ = 1/2 and the characteristic energy scale α is strongly enhanced as compared to the Breit-Wigner width. The unperturbed eigenstates decay according to the non-exponential ...

Control of reasoning isa major issue in scaling up problem solvers that use declarative representations, since inference isslowed own significantly as the size of the knowledge base (KB) is increased. A key factor for the slow down is the search of the inference engine through parts of the KB that are irrelevant to the query at hand. The ability of a system to ignore irrelevant information is t...

Galilean Electromagnetism was discovered thirty years ago by Levy-Leblond & Le Bellac. However, these authors only explored the consequences for the fields and not for the potentials. Following De Montigny & al., we show that the Coulomb gauge condition is the magnetic limit of the Lorenz gauge condition whereas the Lorenz gauge condition applies in the electric limit of Lévy-Leblond & Le Bella...

Levy et al. (2002) describe portions of their analysis of the public health impacts of emissions from nine power plants in Illinois. This and similar analyses (Levy and Spengler, 2002; Freeman, 2001; Abt, 2000) use dataintensive models of air quality and health risks to estimate the number of deaths caused by increases in ambient particulate matter (PM) concentrations due to emissions from spec...