We study the limiting distributions of a rescaling solution of the heat and Burgers equations, with quadratic external potential, in the case where the initial velocity potential is a strongly dependent Gaussian random field.
Keywords: long-range dependence, nonhomogeneous Burgers equation, quadratic potential, random initial conditions, scaling laws, spatiotemporal random fields
08/2006 | Random Operators and Stochastic Equations, Walter de GruyterThe problem of estimation of the Hurst parameter for self-similar time series is discussed in the paper...
Keywords: Hurst parameter, self-similar time series, FARIMA time series, long-range dependence, MSFT ticker
12/2006 | Random Operators and Stochastic Equations, Walter de GruyterThis paper introduces a semilinear stochastic evolution equation which contains fractional powers of the infinitesimal generator of a strongly continuous semigroup and is driven by Hilbert space-valued fractional Brownian motion...
Keywords: Stochastic evolution equation, stochastic differential equation, long-range dependence
09/2003 | Monte Carlo Methods and Applications, Walter de Gruyter