RANDOM_WALK

作品数:152被引量:172H指数:7
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Asymptotic entropy of the ranges of random walks on discrete groups
《Science China Mathematics》2020年第6期1153-1168,共16页Xinxing Chen Jiansheng Xie Minzhi Zhao 
National Natural Science Foundation of China (Grant Nos. 11790273, 11771286, 11531001, 11371317 and 11271077);the Laboratory of Mathematics for Nonlinear Science, Fudan University;supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LQ18A010007)。
Inspired by Benjamini et al.(2010) and Windisch(2010),we consider the entropy of the random walk ranges Rn formed by the first n steps of a random walk S on a discrete group.In this setting,we show the existence of hR...
关键词:random walk ENTROPY RANGE RECURRENT 
On the transience and recurrence of Lamperti’s random walk on Galton-Watson trees
《Science China Mathematics》2019年第9期1813-1822,共10页Wenming Hong Minzhi Liu 
supported by National Natural Science Foundation of China(Grant Nos.11531001 and 11626245)
In a Galton-Watson tree generated by a supercritical branching process with offspring N and EN =:m > 1, the conductance assigned to the edge between the vertex x and its parent x* is denoted by C(x) and given by C(x)...
关键词:INHOMOGENEOUS biased random WALK on the branching tree TRANSIENCE RECURRENCE time-inhomogeneous branching process 
Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates
《Science China Mathematics》2013年第12期2645-2676,共32页LU JianFang SHU Chi-Wang ZHANG MengPing 
supported by the University of Science and Technology of China Special Grant for Postgraduate Research;Innovation and Practice;the Chinese Academy of Science Special Grant for Postgraduate Research;Innovation and Practice;Department of Energy of USA(Grant No.DE-FG02-08ER25863);National Science Foundation of USA(Grant No.DMS-1112700);National Natural Science Foundation of China(Grant Nos.11071234;91130016 and 91024025)
In this paper,we analyze the explicit Runge-Kutta discontinuous Galerkin(RKDG)methods for the semilinear hyperbolic system of a correlated random walk model describing movement of animals and cells in biology.The RKDG...
关键词:discontinuous Galerkin method explicit Runge-Kutta method stability error estimates corre-lated random walk positivity-preserving 
A random walk with a branching system in random environments被引量:13
《Science China Mathematics》2007年第5期698-704,共7页Ying-qiu LI Xu LI Quan-sheng LIU 
the National Natural Science Foundation of China (Grant Nos. 10271020,10471012);SRF for ROCS, SEM (Grant No. [2005]564)
We consider a branching random walk in random environments, where the particles are reproduced as a branching process with a random environment (in time), and move independently as a random walk on ? with a random env...
关键词:random walks in random environments branching processes in random environments rightmost particles phase transition large deviation 60J10 60F05 
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