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The probability that a matrix with Rademacher entries is normal
Andrei Deneanu, Yale
Location: Hill 705
Date & time: Monday, 11 February 2019 at 2:00PM - 3:00PM
| Abstract: | We consider a random nxn matrix, M_n, whose entries are independent and identically distributed (i.i.d.) Rademacher random variables (taking values {-1,1} with probability 1/2) and prove 2^{-(0.5+o(1))n^2} <=P (M_n is normal) <= 2^{-(0.302+o(1))n^{2}}. We conjecture that the lower bound is sharp. |
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