Sampling adsorbing staircase walks using a new Markov chain decomposition method

  • Authors:
  • R. A. Martin;D. Randall

  • Affiliations:
  • -;-

  • Venue:
  • FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
  • Year:
  • 2000

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Abstract

Staircase walks are lattice paths from (0,0) to (2n,0) which take diagonal steps and which never fall below the x-axis. A path hitting the x-axis /spl kappa/ times is assigned a weight of /spl lambda//sup /spl kappa//, where /spl lambda/1. We give the first proof that this Markov chain is also mixing in the more interesting case of /spl lambda/