On the permanent of random Bernoulli matrices |
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Authors: | Terence Tao Van Vu |
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Affiliation: | a Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, United States b Department of Mathematics, Rutgers University, Piscataway, NJ 08854-8019, United States |
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Abstract: | We show that the permanent of an n×n matrix with iid Bernoulli entries ±1 is of magnitude with probability 1−o(1). In particular, it is almost surely non-zero. |
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Keywords: | 05D40 15A15 15A52 |
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