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Acta Mathematica Hungarica
Authors:
Zhengyan Lin
and
Wensheng Wang
Abstract
Small ball probability is estimated for a Brownian motion in l p. As an application we establish the modulus of non-differentiability of a Brownian motion in l p.
Acta Mathematica Hungarica
Authors:
Yong-Kab Choi
,
Kyo-Shin Hwang
,
Tae-Sung Kim
, and
Zhengyan Lin Wang
Abstract
We establish some large increment results for partial sum processes of a dependent stationary Gaussian sequence via estimating upper bounds of large deviation probabilities on suprema of the Gaussian sequence.
