Supported by the National Natural Science Foundation of China under Grant No.11205110;Shanghai Key Laboratory of Intelligent Information Processing(IIPL-2011-009);Innovative Training Program for College Students under Grant No.2015xj070
In this paper, we consider the stationary probability and first-passage time of biased random walk on 1D chain, where at each step the walker moves to the left and right with probabilities p and q respectively(0 p, q ...
Supported by National Natural Science Foundation of China under Grant No. 10975057;Doctor Fund Project of Ministry of Education under Contract 20103201120003;the New Teacher Foundation of Soochow University under Contracts Q3108908, Q4108910;the Extracurricular Pesearch Foundation of Undergraduates under Grant No. KY2010056A
The recurrence properties of random walks can be characterized by P61ya number, i.e., the probability that the walker has returned to the origin at least once. In this paper, we consider recurrence properties for a ge...
Supported by National Natural Science Foundation of China under Grant No.10975079;by K.C.Wong Magna Fund in Ningbo University in China,and the Natural Science Foundation of Ningbo in China under Grant No.2008A61003
In the paper,we consider the transport of a two-dimensional random walk.The velocity and the dispersionof this two-dimensional random walk are derived.It mainly show that:(i)by controlling the values of the transition...
In this paper we define direct product of graphs and give a recipe for obtaining probability of observing particle on vertices in the continuous-time classical and quantum random walk. In the recipe, the probability o...
The project supported in part by National Natural Science Foundation of China under Grant Nos.10635020 and 10475032;the Major Project of the Ministry of Education of China under Grant No.306022.
The origin of power-law distributions in self-organized criticality is investigated by treating the variation of the number of active sites in the system as a stochastic process. An avalanche is then regarded as a fir...
In this paper, we analytically discuss the scaling properties of the average square end-to-end distance < R-2 > for anisotropic random walk in D-dimensional space (D >= 2), and the returning probability P-n(r(0)) for ...
A general random walk model framework is presented which can be used to statistically describe the internal dynamics and external mechanical movement of molecular motors along filament track. The motion of molecular m...