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Limit Theorems for Additive Functionals of Path-Dependent SDEs (1904.02940v1)
Published 5 Apr 2019 in math.PR
Abstract: By using limit theorems of uniform mixing Markov processes and martingale difference sequences, the strong law of large numbers, central limit theorem, and the law of iterated logarithm are established for additive functionals of path-dependent stochastic differential equations.