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JCAM
2010
97views more  JCAM 2010»
13 years 4 months ago
Random walk with long-range interaction with a barrier and its dual: Exact results
We consider the random walk on Z+ = {0, 1, ...} , with up and down transition probabilities given the chain is in state x {1, 2, ...}: (1) px = 1 2 ,, 1 2x +
Thierry Huillet
ICC
2009
IEEE
155views Communications» more  ICC 2009»
14 years 4 months ago
Modeling Random Walk Search Algorithms in Unstructured P2P Networks with Social Information
—Random walk (RW) has been widely used as a strategy for searching in peer-to-peer networks. The boom of social network applications introduces new impact to the classical algori...
Jing Xie, King-Shan Lui
SODA
2003
ACM
115views Algorithms» more  SODA 2003»
13 years 11 months ago
Random walks on the vertices of transportation polytopes with constant number of sources
We consider the problem of uniformly sampling a vertex of a transportation polytope with m sources and n destinations, where m is a constant. We analyse a natural random walk on t...
Mary Cryan, Martin E. Dyer, Haiko Müller, Lee...
MOC
1998
144views more  MOC 1998»
13 years 9 months ago
Convergence of a random walk method for a partial differential equation
Abstract. A Cauchy problem for a one–dimensional diffusion–reaction equation is solved on a grid by a random walk method, in which the diffusion part is solved by random walk...
Weidong Lu
SIAMDM
2010
111views more  SIAMDM 2010»
13 years 4 months ago
Random Walks with Look-Ahead in Scale-Free Random Graphs
If m 2 is constant and 0 r log log n for a small positive constant , then whp a random walk with look-ahead r on a scale-free graph G = G(m, n) has cover time CG(r) (2/(mr-1(...
Colin Cooper, Alan M. Frieze