6 problems
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Symmetric Bernoulli determinant conjecture
Let be the random symmetric matrix whose upper-diagonal entries are independent Bernoulli random variables. Symmetric determinant conjecture. Almost surely, … This is the sym…
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Asymptotic maximal determinant conjecture for Bernoulli matrices
Maximal determinant conjecture. Almost surely,
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The point-mass conjecture for determinants of random sign matrices
Determinant point-mass conjecture.
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The symmetric determinant magnitude conjecture for random sign matrices
Symmetric determinant magnitude conjecture. With probability ,
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The determinant magnitude conjecture for random sign matrices
Determinant magnitude conjecture. Almost surely,
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Polynomial-factor concentration conjecture for determinants of random matrices
Let be positive constants. Let be the random matrix of size whose entries are independent random variables with mean zero and variances between and . Polyn…