The law of the iterated logarithm for character ratios
نویسنده
چکیده
Recently, Fulman developed some general connections between martingales and character ratios of a random representation of the symmetric group on transitions, and obtained a convergence rate in a central limit theorem. In this work we aim to establish the law of the iterated logarithm for character ratios. The technique is a well-known Skorokhod embedding theorem for martingales and strong approximation argument. Also, bounded martingale difference methods are used to obtain a large deviation for character ratios. r 2005 Elsevier B.V. All rights reserved. MSC: primary 05E10; secondary 60C05
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