Laws of the iterated logarithm for high-dimensional wiener sausage

作者：Wang, Yan Qing^*; Gao, Fu Qing

来源：Acta Mathematica Sinica-English Series, 2011, 27(8): 1599-1610.

DOI：10.1007/s10114-011-8529-9

• Wiener sausage
• Kolmogorov's law of the iterated logarithm
• Chung's law of the iterated logarithm

Let {beta(s), s a parts per thousand yen 0} be the standard Brownian motion in a"e (d) with d a parts per thousand yen 4 and let |W (r) (t)| be the volume of the Wiener sausage associated with {beta(s), s a parts per thousand yen 0} observed until time t. From the central limit theorem of Wiener sausage, we know that when d a parts per thousand yen 4 the limit distribution is normal. In this paper, we study the laws of the iterated logarithm for in this case.

• 出版日期2011-8
• 单位武汉大学