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...
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)...
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...
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...