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L 2-lower bounds for a special class of random walks
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  • Published: June 1995

L 2-lower bounds for a special class of random walks

  • Ursula Porod1 

Probability Theory and Related Fields volume 101, pages 277–289 (1995)Cite this article

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  • 6 Citations

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Summary

We investigate theL 2-speed of convergence to stationarity for a certain class of random walks on a compact connected Lie group. We give a lower bound on the number of stepsk necessary such that thek-fold convolution power of the original step distribution has anL 2-density. Our method uses work by Heckman on the asymptotics of multiplicities along a ray of representations. Several examples are presented.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, The Johns Hopkins University, 21218, Baltimore, MD, USA

    Ursula Porod

Authors
  1. Ursula Porod
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Additional information

This paper is based on parts of the author's doctoral dissertation written at The Johns Hopkins University

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Cite this article

Porod, U. L 2-lower bounds for a special class of random walks. Probab. Th. Rel. Fields 101, 277–289 (1995). https://doi.org/10.1007/BF01375829

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  • Received: 26 April 1994

  • Revised: 17 August 1994

  • Issue Date: June 1995

  • DOI: https://doi.org/10.1007/BF01375829

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Mathematics Subject Classification

  • 60J15
  • 60B15
  • 43A80
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