Large Deviation Bounds for Markov Chains

  • Authors:
  • Nabil Kahale

  • Affiliations:
  • AT&T Labs&ndash/–/Research, Florham Park, NJ 07932, USA/ (e-mail: kahale@research.att.com)

  • Venue:
  • Combinatorics, Probability and Computing
  • Year:
  • 1997

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Abstract

The Gaussian algorithm for lattice reduction in dimension 2 is analysed under its standard version. It is found that, when applied to random inputs in a continuous model, the complexity is constant on average, its probability distribution decays geometrically, ...