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The Law of the Iterated Logarithm for a Class of SPDEs
Parisa Fatheddin · 2017-10-13 · via math.PR updates on arXiv.org

After establishing the moderate deviation principle by the Classical Azencott method, we prove the Strassen's compact law of the iterated logarithm (LIL) for a class of stochastic partial differential equations (SPDEs). As an application, we obtain this type of LIL for two population models known as super-Brownian motion and Fleming-Viot process. In addition, the classical LIL is shown for the class of SPDEs and the two population models.

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