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Singularity of 0/1 random Bernoulli matrices Litvak, Alexander
Description
Let $M$ be a random $n\times n$ matrix with independent 0/1 random entries taking value 1 with probability $0 < p=p(n) < 1$. We provide sharp bounds on the probability that $M$ is singular for $C(\ln n)/n\leq p\leq c$, where $C, c$ are absolute positive constants. Roughly speaking, we show that this probability is essentially equal to the probability that $M$ has either zero row or zero column. Joint work with Konstantin Tikhomirov.
Item Metadata
| Title |
Singularity of 0/1 random Bernoulli matrices
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2020-02-11T13:30
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| Description |
Let $M$ be a random $n\times n$ matrix with
independent 0/1 random entries taking value 1 with
probability $0 < p=p(n) < 1$. We provide sharp bounds on the
probability that $M$ is singular for $C(\ln n)/n\leq p\leq c$,
where $C, c$ are absolute positive constants.
Roughly speaking, we show that this probability is essentially
equal to the probability that $M$ has either zero row or zero column.
Joint work with Konstantin Tikhomirov.
|
| Extent |
32.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Alberta
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| Series | |
| Date Available |
2020-12-12
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0395249
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
|
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International