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Central limit theorem for the solution to the heat equation with moving time

Author:
Liu, Junfeng  Tudor, Ciprian A.  


Journal:
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS


Issue Date:
2016


Abstract(summary):

We consider the solution to the stochastic heat equation driven by the time-space white noise and study the asymptotic behavior of its spatial quadratic variations with "moving time", meaning that the time variable is not fixed and its values are allowed to be very big or very small. We investigate the limit distribution of these variations via Malliavin calculus.


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