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Journal article
Macroscale behavior of random lower triangular matrices
Analysis and mathematical physics, v 12(1), 12
01 Feb 2022
Abstract
We analyze the macroscale behavior of random lower (and therefore upper) triangular matrices with entries drawn i.i.d. from a distribution with nonzero mean and finite variance. We show that such a matrix behaves like a probabilistic version of a Riemann sum and therefore in the limit behaves like the Volterra operator. Specifically, we analyze certain SOT-like and WOT-like modes of convergence for random lower triangular matrices to a scaled Volterra operator. We close with a brief discussion of moments.
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Details
- Title
- Macroscale behavior of random lower triangular matrices
- Creators
- J. E. Pascoe - University of FloridaTapesh Yadav - University of Florida
- Publication Details
- Analysis and mathematical physics, v 12(1), 12
- Publisher
- Springer International Publishing
- Grant note
- 1953963 / Directorate for Mathematical and Physical Sciences (http://dx.doi.org/10.13039/100000086)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000723071400001
- Scopus ID
- 2-s2.0-85119963736
- Other Identifier
- 991021879786204721
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- Web of Science research areas
- Mathematics
- Mathematics, Applied