Random Walks in Random

  title={Random Walks in Random},
  author={LabyrinthsG. R. Grimmett and M. V. Menshikov and S. E. Volkov},
A random labyrinth is a disordered environment of scatterers on a lattice. A beam of light travels through the medium, and is reeected oo the scatterers. The set of illuminated vertices is studied, under the assumption that there is a positive density of points, called`normal points', at which the light behaves in the manner of a simple symmetric random walk. The ensuing`random walk in a labyrinth' is found to be recurrent in two dimensions, and also non-localised under certain extra… CONTINUE READING

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