Inversion of analytic characteristic functions and infinite convolutions of exponential and Laplace densities

This paper shows that certain quotients of entire functions are characteristic functions. Under some conditions, we provide expressions for the densities of such characteristic functions which turn out to be generalized Dirichlet series which in turn can be expressed as an infinite linear combination of exponential or Laplace densities. We apply these results to several examples.

1957.- George Jensen

Rehabilitació de la planta baixa d'una casa en la reconversió a disseny d'interior d'un local comercial destinat a exposició i venda d'objectes de regal de plata, cristall i porcellana. On actualment ja s'establia a la banda esquerra una botiga que es reaprofitarà. També s'inclou la rehabilitació de façana del mateix local.

George W. Bush: diseño de un producto político

Treball que tracta d’explicar el procés de creació d’un personatge polític, en el que s’utilitza a George W. Bush com a exemple pràctic per il·lustrar les estratègies implementades pel seu assessor Karl Rove per portar-lo a la Casa Blanca.

Statistics of depth probed by cw measurement of photons in a turbid medium

Photon migration in a turbid medium has been modeled in many different ways. The motivation for such modeling is based on technology that can be used to probe potentially diagnostic optical properties of biological tissue. Surprisingly, one of the more effective models is also one of the simplest. It is based on statistical properties of a nearest-neighbor lattice random walk. Here we develop a theory allowing one to calculate the number of visits by a photon to a given depth, if it is eventually detected at an absorbing surface. This mimics cw measurements made on biological tissue and is directed towards characterizing the depth reached by photons injected at the surface. Our development of the theory uses formalism based on the theory of a continuous-time random walk (CTRW). Formally exact results are given in the Fourier-Laplace domain, which, in turn, are used to generate approximations for parameters of physical interest.