2020•Unpublished venueRequires access

QUASI SURE LOCAL CHUNG'S FUNCTIONAL LAW OF THE ITERATED LOGARITHM FOR INCREMENTS OF A BROWNIAN MOTION

Yongxiang Mo, Yonghong Liu, Xia Zhou

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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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What this paper is about

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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Available 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.

Key concepts: Iterated logarithm, Law of the iterated logarithm, Mathematics, Logarithm, Brownian motion, Fractional Brownian motion, Modulus of continuity, Iterated function

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