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math.PR2002
A Singular Parabolic Anderson Model
Carl Mueller, Roger Tribe
We give a new example of a measure-valued process without a density, which arises from a stochastic partial differential equation with a multiplicative noise term. This process has…
math.PR2002
Hitting properties of a random string
Carl Mueller, Roger Tribe
We consider Funaki's model of a random string taking values in R^d. It is specified by the following stochastic PDE, du = u_{xx} + W, where W=W(x,t) is two-parameter white noise, a…