Functional Limit Theorems for Multiparameter Fractional Brownian Motion
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🧮 math.PR
keywords
functionalbrownianfractionallimitmotionmultiparameterapplicationsapproximation
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We prove a general functional limit theorem for multiparameter fractional Brownian motion. The functional law of the iterated logarithm, functional L\'{e}vy's modulus of continuity and many other results are its particular cases. Applications to approximation theory are discussed.
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