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Eigenvalues of a random walk on oriented matroids

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Abstract

We generalize the results about eigenvalues of random walks oncentral hyperplane arrangements computed by Bidigare, Hanlon andRockmore to the cases of random walks on oriented matroids.

참고문헌 (5)

  1. "A combinatorial descriptionof the spectrum for the Tsetlin library and its generalization to hyperplane arrangements", 99(1), pp.135~174 (1999)
  2. "Encyclopedia of Mathematics and itsApplications 46" (1993), Cambridge University Press
  3. "Random walks and hyperplane arrangements", 26(4), pp.1813~1854 (1998)
  4. "Arrangements of hyperplanes" (1992), Springer-Verlag
  5. "Arrangements of hyperplanes" (1992), Springer-Verlag

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