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  • On normalized multiplicative cascades under strong disorder

    Creator:
    Dey, Partha S. and Waymire, Edward C.
    Abstract:
    The purpose of this note is to provide a coupling of weak limits in distribution of sequence of (normalized) multiplicative cascade measures under strong disorder in terms of the extremes of an associated branching random walk, assuming i.i.d positive, non-lattice bond weights and a second moment condition. The solution is...
    Resource Type:
    Article
    Full Text:
    . doi:10.1214/ECP.v20-3936 10.1214/ECP.v20-3936 Institute of Mathematical Statistics Version of

  • Advection–Dispersion Across Interfaces

    Creator:
    Ramirez, Jorge M., Thomann, Enrique A., and Waymire, Edward C.
    Abstract:
    This article concerns a systemic manifestation of small scale interfacial heterogeneities in large scale quantities of interest to a variety of diverse applications spanning the earth, biological and ecological sciences. Beginning with formulations in terms of partial differential equations governing the conservative, advective-dispersive transport of mass concentrations in divergence form,...
    Resource Type:
    Article
    Full Text:
    Statistical Science 2013, Vol. 28, No. 4, 487–509 DOI: 10.1214/13-STS442 © Institute of Mathematical