【目的】研究平面Wiener sausage的中偏差。【方法】采用了高阶矩方法、Wiener sausage的三角分解以及一些矩估计。【结果】发现平面Wiener sausage具有非对称的尾行为。【结论】Wiener sausage的极限行为与其所处的空间有极大的联系。
[Purposes]Here it studys the moderate deviations for planar Wiener sausage.[Methods]The triangle decomposition of Wiener sausage and some moment estimations are used in the proof.[Findings]The result shows that the planar Wiener sausage has asymmetric tail behavior.[Conclusions]The limit behavior of Wiener sausage are greatly related to the dimension.