Diffusivity of a random walk on random walks

@article{Boissard2015DiffusivityOA,
  title={Diffusivity of a random walk on random walks},
  author={Emmanuel Boissard and S. Cohen and Thibault Espinasse and James Norris},
  journal={Random Struct. Algorithms},
  year={2015},
  volume={47},
  pages={267-283}
}
  • Emmanuel Boissard, S. Cohen, +1 author James Norris
  • Published 2015
  • Mathematics, Computer Science
  • Random Struct. Algorithms
  • We consider a random walk Zn1,',ZnK+1∈i¾?K+1 with the constraint that each coordinate of the walk is at distance one from the following one. In this paper, we show that this random walk is slowed down by a variance factor i¾?K2=2K+2 with respect to the case of the classical simple random walk without constraint. © 2014 Wiley Periodicals, Inc. Random Struct. Alg., 47, 267-283, 2015 
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