EXACT CALCULATIONS OF FIRST-PASSAGE QUANTITIES ON A CLASS OF WEIGHTED TREE-LIKE FRACTAL NETWORKS-Reference-Cited by-同舟云学术

EXACT CALCULATIONS OF FIRST-PASSAGE QUANTITIES ON A CLASS OF WEIGHTED TREE-LIKE FRACTAL NETWORKS

Published:2020-04-29 Issue:03 Volume:28 Page:2050042
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WU BO¹^ORCID,ZHANG ZHIZHUO¹,SU WEIYI²

Affiliation:

1. School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, P. R. China

2. Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China

Abstract

This paper concerns the weight-dependent random walk on a class of weighted tree-like fractal networks controlled by a positive integer parameter [Formula: see text] [Formula: see text] and the weight factor [Formula: see text] [Formula: see text]. We study the first return time (FRT) of a given hub and the global first-passage time (GFPT) to a given hub on the networks. By the probability generating function method, we derive the analytic expressions of the first and second moments of FRT and GFPT. In order to evaluate the fluctuation of FRT and GFPT, we further calculate the variance and the reduced moments of FRT and GFPT.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

Jiangsu Government Scholarship for Overseas Studies.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20500425

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