Journal article
Random Matrices and Brownian Motion
Combinatorics, probability & computing, v 2(2), pp 157-180
Jun 1993
Abstract
For T ∈ GLn (Fq), let Ωn (t, T) be the number of irreducible factors of degree less than or equal to nt in the characteristic polynomial of T. Let and suppose T is chosen from G Ln(Fq) at random uniformly. We prove that the stochastic process ≺Zn(t)≻t∈[0, 1] converges to the standard Brownian motion process W(t), as n → ∞.
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5 citations in Scopus
Details
- Title
- Random Matrices and Brownian Motion
- Creators
- William M. Y. Goh - Drexel UniversityEric Schmutz - Drexel University
- Publication Details
- Combinatorics, probability & computing, v 2(2), pp 157-180
- Publisher
- Cambridge University Press
- Number of pages
- 24
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]; Mathematics
- Scopus ID
- 2-s2.0-84971698082
- Other Identifier
- 991019173631504721