A Chernoff Bound for Random Walks on Expander Graphs

  title={A Chernoff Bound for Random Walks on Expander Graphs},
  author={David Gillman},
  journal={SIAM J. Comput.},
We consider a finite random walk on a weighted graph G; we show that the sample average of visits to a set of vertices A converges to the stationary probability n(A) with error probability exponentially small in the length of the random walk and the square of the size of the deviation from a(A) . The exponential bound is in terms of the expansion of G and improves previous results of [Ald87, LS, AKS]. We show that the method of taking the sample average from one trajectory is a more eficient… CONTINUE READING
Highly Influential
This paper has highly influenced 22 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 191 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-10 of 126 extracted citations

191 Citations

Citations per Year
Semantic Scholar estimates that this publication has 191 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 15 references


  • Proceedings of the Thirtieth IEEE Symposium on Foundations of Science
  • C. Jain, “Large deviation lower bounds for…
  • 1989
Highly Influential
12 Excerpts

Hidden Markov Chains: Convergence Rates and the Complexity of Inference

  • D. Gillman
  • PhD thesis, Massachusetts Institute of Technology…
  • 1993

Bibliography: random walks on graphs,

  • D. Aldous
  • Electronic mail from aldous@stat.berkeley.edu
  • 1990

Explicit construction of concentrators from generalized n-gons,’

  • R. M. Tanner
  • SIAM Journal on Algebraic Discrete Methods
  • 1984

Similar Papers

Loading similar papers…