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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
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2020-02-11T13:30
|
| 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
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: University of Alberta
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| Series | |
| Date Available |
2020-12-12
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0395249
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International