We study models of discrete-time, symmetric, Zd-valued random walks in random environments, driven by a field of i.i.d. randomnearest-neighbor conductances ωxy ∈ [0, 1], with polynomial tail near 0 with exponent γ > 0. For all d ≥ 4, we prove that the heat-kernel decay is as close as we want to the standard decay n−d/2 for large values of the parameter γ. keywords : Randomwalk, Random environme...

with ξ1, . . . , ξN a sequence of independent identically distributed random variables satisfying the conditions Eξi = 0, Dξi = 1. (1.2) Moreover, the values ai > 0 and bi > 0 are assumed known, while the values of the parameter θ and the variances DXi ≡ σ i are unknown. The values of the random variables ξ1, . . . , ξN are assumed unknown either. In this article, we study the problem of estima...

Monte Carlo (MC) rendering systems can produce spectacular images but are plagued with noise at low sampling rates. In this work, we observe that this noise occurs in regions of the image where the sample values are a direct function of the random parameters used in the Monte Carlo system. Therefore, we propose a way to identify MC noise by estimating this functional relationship from a small n...

This appendix describes the procedure suggested by Duncan et al. (1980) for the determination of hyperbolic parameter values for soils from results of triaxial tests. Hyperbolic parameter values of Density Sand and Light Castle Sand are determined based on the results of the triaxial tests presented in Appendix A. Figures B1 through B16 show the determination of the hyperbolic parameter values ...

llegations for a worldwide decline in semen parameter values have not withstood scientific scrutiny. Methodological flaws in an influential 1992 paper are summarized here, and studies that have been published since 1992 are reviewed. Of the 35 major studies of time trends in semen quality reviewed here, eight (a total of 18 109 men) suggest a decline in semen quality; 21 (112 386 men) show eith...