AUTHOR=Sun Yu , Liu Xiaobei , Li Xiaoyan 

TITLE=Hitting time for random walks on the Sierpinski network and the half Sierpinski network

JOURNAL=Frontiers in Physics

VOLUME=Volume 10 - 2022

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.1076276

DOI=10.3389/fphy.2022.1076276

ISSN=2296-424X

ABSTRACT=We consider the unbiased random walk on the Sierpinski Network (Sn ◦ N) and
the Half Sierpinski Network (HSn ◦ N). Different from existed works on the Sierpinski
Gasket, the Sn ◦ N is generated by the nested method and the HSn ◦ N is the half of
the Sn ◦ N based on the vertical cutting of the symmetry axis. We study the hitting
time on the Sn ◦ N and HSn ◦ N. According to the complete symmetry and structural
properties of the Sn ◦ N, we derive the exact expressions of the hitting time on the
nth generation Sn ◦ N and HSn ◦ N. The curves of the hitting time for two networks
are almost consistent when n is large enough. The result indicates that the diffusion
efficiency of the HSn ◦ N has not changed greatly compared with the Sn ◦ N at large
scale.