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Chung’s law of the iterated logarithm for a class of stochastic heat equations

Chung’s law of the iterated logarithm for a class of stochastic heat equations

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 setting. Based on the literature on small ball probabilities and the technique …