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math.PR2016
Regularity properties and simulations of Gaussian random fields on the Sphere cross Time
Jorge Clarke de La Cerda, Alfredo Alegría, Emilio Porcu +1
We study the regularity properties of Gaussian fields defined over spheres cross time. In particular, we consider two alternative spectral decompositions for a Gaussian field on $\…
math.PR2012★ 1 cited
Hitting times for the stochastic wave equation with fractional-colored noise
Jorge Clarke De La Cerda, Ciprian Tudor
We give sharp regularity results for the solution to the stochastic wave equation with linear fractional-colored noise. We apply these results in order to establish upper and lower…
math.PR2011
Least squares estimator for the parameter of the fractional Ornstein-Uhlenbeck sheet
Jorge Clarke De La Cerda, Ciprian Tudor
We will study the least square estimator for the drift parameter of the fractional Ornstein-Uhlenbeck sheet which is defined as the solution of the Langevin equat…