QUASI SURE LOCAL CHUNG'S FUNCTIONAL LAW OF THE ITERATED LOGARITHM FOR INCREMENTS OF A BROWNIAN MOTION
Yongxiang Mo, Yonghong Liu, Xia Zhou
Abstract
Yongxiang Mo, Yonghong Liu, Xia Zhou
Abstract
In this paper, we obtain the quasi sure local Chung's functional law of the iterated logarithm for increments of a Brownian motion. As an application, a quasi sure Chung's type functional modulus of continuity for a Brownian motion is also derived.
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In this paper, we obtain the quasi sure local Chung's functional law of the iterated logarithm for increments of a Brownian motion. As an application, a quasi sure Chung's type functional modulus of continuity for a Brownian motion is also derived.
Key concepts: Iterated logarithm, Law of the iterated logarithm, Mathematics, Logarithm, Brownian motion, Fractional Brownian motion, Modulus of continuity, Iterated function