Jiaming Chen
Published 2023-02-23Version 1
We establish a Chung-type law of the iterated logarithm for the solutions of a class of stochastic heat equations driven by a multiplicative noise whose coefficient depends on the solution, and this dependence takes us away from Gaussian processes setting. Based on existing results from the literature on small ball probability, the limiting term is provided with both upper and lower bounds almost surely.
Precise Asymptotics in Chung's law of the iterated logarithm
The Law of the Iterated Logarithm for a Class of SPDEs
Exponential inequalities and laws of the iterated logarithm for multiple Poisson--Wiener integrals and Poisson $U$-statistics
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