Journal article
How random is the characteristic polynomial of a random matrix ?
Mathematical proceedings of the Cambridge Philosophical Society, v 114(3), pp 507-515
01 Nov 1993
Abstract
Every monic, degree n polynomial in Fq[x;] is the characteristic polynomial of at least one n × n matrix (with entries in the finite field Fq), but they do not appear with equal frequency. There is no a priori reason that the characteristic polynomial of a typical matrix should resemble a typical monic degree n polynomial. Nevertheless, we prove a precise version of the following heuristic statement: ‘Excepting its small factors, the characteristic polynomial of a random matrix is random.’
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Details
- Title
- How random is the characteristic polynomial of a random matrix ?
- Creators
- Jennie C. Hansen - Heriot-Watt UniversityEric Schmutz - Drexel University
- Publication Details
- Mathematical proceedings of the Cambridge Philosophical Society, v 114(3), pp 507-515
- Publisher
- Cambridge University Press
- Number of pages
- 9
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1993MK48800013
- Scopus ID
- 2-s2.0-0001483661
- Other Identifier
- 991021864178204721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics