Random walk on random walks

  title={Random walk on random walks},
  author={Marcelo R. Hil'ario and Frank den Hollander and Vladas Sidoravicius and Renato Soares dos Santos and Augusto Teixeira},
In this paper we study a random walk in a one-dimensional dynamic random environment consisting of a collection of independent particles performing simple symmetric random walks in a Poisson equilibrium with density ρ ∈ (0,∞). At each step the random walk performs a nearest-neighbour jump, moving to the right with probability p◦ when it is on a vacant site and probability p• when it is on an occupied site. Assuming that p◦ ∈ (0, 1) and p• 6= 1 2 , we show that the position of the random walk… CONTINUE READING

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