Models of endogenous growth have not been able to account for the variety of empirically observed distributional properties of the returns to innovation, in part, because of the limitations necessarily imposed on competition to cope with increasing returns to scale. Exponential growth, fat tails, Pareto–Levy distributed upper tails, and upper value outliers, are associated with increasing retur...

We consider the numerical solution of one type integro-differential equation by a probability method based on fundamental martingale mixed Gaussian processes. As an application, we try to simulate estimation ruin with an unknown parameter driven not classical Levy process, but fractional Brownian motion.

Huet and Levy pioneered lazy sequential evaluation of equational programs based on the concepts of strong-sequentiality and needed redexes. Natural extensions of their strategy are not well-suited for parallel evaluation since they do not support independent searches for needed redexes along diierent paths in the input term. Furthermore, the size of compiled code can be exponential in program s...

We have derived the dipolar relaxation function for a cluster model whose volume distribution was obtained from the generalized maximum Tsallis nonextensive entropy principle. The power law exponents of the relaxation function are simply related to a global fractal parameter α and for large time to the entropy nonextensivity parameter q. For intermediate times the relaxation follows a stretched...

Consider the M/G /1 queue in which customers are rejected if their total sojourn time would exceed a certain level K. A pasic performance measure of this system is the probability PK that a customer gets rejected in steady state. This paper presents asymptotic expansions for PK as K -+ 00. If the service time B is light-tailed, it is shown that the loss probability has an exponential tail. The ...

We consider a minimal model of persistent random searcher with a short range memory. We calculate exactly for such a searcher the mean first-passage time to a target in a bounded domain and find that it admits a nontrivial minimum as function of the persistence length. This reveals an optimal search strategy which differs markedly from the simple ballistic motion obtained in the case of Poisson...

AMERICAN METEOROLOGICAL SOCIETY | JANUARY 2007| 25 PB AFFILIATIONS: LEVY—Science Systems and Applications, Inc., Lanham, Laboratory for Atmospheres, NASA Goddard Space Flight Center, Greenbelt, and Department of Atmospheric and Oceanic Science, University of Maryland, College Park, College Park, Maryland; PINKER—Department of Atmospheric and Oceanic Science, University of Maryland, College Park...