This paper reports that bursty hot spot sizes are a key factor in causing the heavy-tail distribution of flights in human walks. A heavy-tailed distribution of flights is a signature feature of Levy walks. The data analysis based on GPS traces of human walks reveals that the sizes of a few extremely large hot spots are dominating the mean size of hot spots and they cause the bursty (i.e., long-...

An evolutionary programming algorithm with adaptivemutation operators based on L evy prob ability distribution is studied L evy stable distri bution has an in nite second moment Because of this L evy mutation is more likely to generate an o spring that is farther away from its parent than Gaussian mutation which is often used in evolu tionary algorithms Such likelihood depends on a parameter in...

The standard Particle Swarm Optimization (PSO) studies its own previous best solution and the group’s previous best to optimize problems. One problem exists in PSO is its tendency of trapping into local optimum. To avoid this problem, in this paper a new PSO (LHPSO)is presented by combining a Lévy mutation based on Lévy Distribution on the best particle so that the mutated best particle could l...

Among political theorists there is a dispute over the status of ideal theory [see, for instance, Pennington (2011), Tomasi (2012)]. Ideal theory is characterized by its reliance on abstract arguments and thought experiments concerning questions such as: What is justice? or What rights do we owe each other? As such, ideal theory will always have a place in philosophy departments. However, recent...

Dr Levy [1] commented on the study of Kerlin and colleagues [2] on the relevance, or futility, of night-time intensivists. Kerlin and colleagues compared in-hospital night-time intensivist presence with night-time phone consultations by daytime intensivists (control) with regard to ICU length of stay, hospital mortality, and readmission rate. Randomized 7 day blocks of night-time intensivist pr...

BACKGROUND We conducted a case study of the Zimbabwe National AIDS Trust Fund ('AIDS Levy') as an approach to domestic government financing of the response to HIV and AIDS. METHODS Data came from three sources: a literature review, including a search for grey literature, review of government documents from the Zimbabwe National AIDS Council (NAC), and key informant interviews with representat...

We study fine properties of Lévy trees that are random compact metric spaces introduced by Le Gall and Le Jan in 1998 as the genealogy of continuous state branching processes. Lévy trees are the scaling limits of Galton-Watson trees and they generalize Aldous’s continuum random tree which corresponds to the Brownian case. In this paper we prove that Lévy trees have always an exact packing measu...

We prove that if a metric probability space with a usual concentration property embeds into a Banach space X, then X has a proportional Euclidean subspace. In particular, this yields a new characterization of weak cotype 2. We also find optimal lower estimates on embeddings spaces with concentration properties (i.e. uniformly convex spaces) into l ∞, thus providing an ”isomorphic” extension to ...

The accuracy of the recently developed correlation energy functional of Wilson and Levy is investigated. The correlation contributions to first ionization potentials of first-row atoms, hydrides and dimers, as well as the contributions to the dissociation energies of neutral and ionic hydrides and dimers are calculated and compared with experimental values. It is found that the functional devel...