Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



How to pick a random integer matrix? (and other questions)

Author: Igor Rivin
Journal: Math. Comp. 85 (2016), 783-797
MSC (2010): Primary 20H05, 20P05, 20G99
Published electronically: June 17, 2015
MathSciNet review: 3434881
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2010): 20H05, 20P05, 20G99

Retrieve articles in all journals with MSC (2010): 20H05, 20P05, 20G99

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

Keywords: Groups, lattices, matrices, randomness, probability
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.
Article copyright: © Copyright 2015 American Mathematical Society

American Mathematical Society