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2-lower bounds for a special class of random walks |
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Authors: | Ursula Porod |
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Institution: | (1) Department of Mathematics, The Johns Hopkins University, 21218 Baltimore, MD, USA |
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Abstract: | 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.This paper is based on parts of the author's doctoral dissertation written at The Johns Hopkins University |
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Keywords: | 60J15 60B15 43A80 |
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