Abstract
One of the most important applications of group representation theory is to probability and statistics, via the study of random walks on groups. In a famous paper [1], Bayer and Diaconis gave very precise estimates on how many riffle shuffles it takes to randomize a deck of n cards; the riffle shuffle is the shuffle where you cut the pack of cards into two halves and then interleave them. Bayer and Diaconis concluded based on their results that, for a deck of 52 cards, seven riffle shuffles are enough. Any fewer shuffles are too far from being random, whereas the net gain in randomness for doing more than seven shuffles is not sufficient to warrant the extra shuffles.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
