Sierpinski尘上Brown运动图的Hausdorff和填充维数

Sierpinski尘上Brown运动图的Hausdorff和填充维数 HAUSDORFF AND PACKING DIMENSIONS OF GRAPH FOR BROWNIAN MOTION ON THE SIERPINSKI GASKET 吴军 Wu Jun 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 通过对Ｓｉｅｒｐｉｎｓｋｉ尘结构的分析，得到了Ｓｉｅｒｐｉｎｓｋｉ尘上Ｂｒｏｗｎ运动图的Ｈａｕｓｄｏｒｆｆ维数及填充维数 Barlow and Perkins constructed a symmetric diffusion process on the Sierpinski gasket and called it Brownian motion on the Sierpinski gasket. In this paper, the Hausdorff and packing ctimensions of graph of a compact set E[O ) for Brownian motion on the Sierpinski gasket are discussed. Sierpinski尘 Hausdorff维数 填充维数 Sierpinski gasket Hausdorff dimension packing dimension O157.5 国家自然科学基金(61672102) 1995-05-01 2021-04-01 5