How to pick a random integer matrix? (and other questions)
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Abstract:
We discuss the question of how to pick a matrix uniformly (in an appropriate sense) at random from groups big and small. We give algorithms in some cases, and indicate interesting problems in others.References
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Additional Information
- Igor Rivin
- Affiliation: School of Mathematics, University of St Andrews, St Andrews, UK
- Address at time of publication: Department of Mathematics, Temple University, Philadelphia, Pennsylvania
- MR Author ID: 295064
- Email: rivin@temple.edu
- Received by editor(s): February 15, 2014
- Received by editor(s) in revised form: July 6, 2014, and August 19, 2014
- Published electronically: June 17, 2015
- Additional Notes: The author would like to thank Nick Katz , Chris Hall, Peter Sarnak, and Hee Oh for helpful conversations. He would also like to thank ICERM and Brown University for their hospitality and generous support. The author would like to thank the anonymous referees for their patience and helpful suggestions.
- © Copyright 2015 American Mathematical Society
- Journal: Math. Comp. 85 (2016), 783-797
- MSC (2010): Primary 20H05, 20P05, 20G99
- DOI: https://doi.org/10.1090/mcom/2986
- MathSciNet review: 3434881