Character Theory of Symmetric Groups, Subgroup Growth of Fuchsian Groups, and Random Walks

We derive an asymptotic expansion for the subgroup of arbitrary Fuchsian groups and some other classes of large groups. Moreover, the main conjecture for Random Walks on symmetric groups is established in full generality. Both problems require subtle estimates of character values and root number mul...

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Published in:arXiv.org 2003-05
Main Authors: Mueller, Thomas W, Jan-Christoph Schlage-Puchta
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Language:English
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Asymptotic series
Random walk
Random walk theory
Subgroups
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Jan-Christoph Schlage-Puchta
description We derive an asymptotic expansion for the subgroup of arbitrary Fuchsian groups and some other classes of large groups. Moreover, the main conjecture for Random Walks on symmetric groups is established in full generality. Both problems require subtle estimates of character values and root number multiplicities for symmetric groups, which are also of independent interest.
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subjects Asymptotic series
Random walk
Random walk theory
Subgroups
title Character Theory of Symmetric Groups, Subgroup Growth of Fuchsian Groups, and Random Walks
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