We present an approximate form for the weak lensing magnification distribution of standard candles, valid for all cosmological models, with arbitrary matter distributions, over all redshifts. Our results are based on a universal probability distribution function (UPDF), P (η), for the reduced convergence, η. For a given cosmological model, the magnification probability distribution, P (μ), at r...

ABSTRACT In the context of tomographic cosmic shear surveys, a theoretical model for one-point statistics aperture mass (Map) is developed. This formalism based on application large deviation principle to projected matter density field and more specifically angular masses. The latter holds advantage being an observable that can be directly extracted from observed be, by construction, independen...

Bursty transport phenomena associated with convective motion present universal statistical characteristics among different physical systems. In this Letter, a stochastic univariate model and the associated probability distribution function for the description of bursty transport in plasma turbulence is presented. The proposed stochastic process recovers the universal distribution of density flu...

Abstract—In this article the problem of distributional moments estimation is considered. The new approach of moments estimation based on usage of the characteristic function is proposed. By statistical simulation technique author shows that new approach has some robust properties. For calculation of the derivatives of characteristic function there is used numerical differentiation. Obtained res...

Consider the random walk among N places with N(N - 1)/2 transports. We attach an exponential random variable Xij to each transport between places Pi and Pj and take these random variables mutually independent. If transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log...

Consider non-negative lattice paths ending at their maximum height, which will be called admissible paths. We show that the probability for a lattice path to be admissible is related to the Chebyshev polynomials of the first or second kind, depending on whether the lattice path is defined with a reflective barrier or not. Parameters like the number of admissible paths with given length or the e...

Much of the discussion of decoherence has been in terms of a particle moving in one dimension that is placed in an initial superposition state (a Schrödinger " cat " state) corresponding to two widely separated wave packets. Decoher-ence refers to the destruction of the interference term in the quantum probability function. Here, we stress that a quantitative measure of decoherence depends not ...