I am from an engineering background and I wanted to get hold of some very basic reading material on Random Walk on $S_n$ (symmetric group on n letters) using Transpositions. Could someone suggest some?
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I'm guessing by $S_n$ you mean the symmetric group on $n$ letters? – Math1000 Apr 19 '15 at 22:40
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Yes. I will add it to the question – user1166419 Apr 19 '15 at 22:44
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This is a good reference for the general theory (if I may be so bold). There are a couple of remarks on random walks driven by transpositions on pages 16 and 49.
For a fuller treatment see
- P. Diaconis. Group Representations in Probability and Statistics. IMS: Hayward, CA, 1988.
JP McCarthy
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