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What is Permanental Rank of Random Matrices about?

This paper investigates the differences between the permanental rank and determinantal rank of random matrices over finite fields, focusing on the probability that all k × k submatrices of a random n × k matrix have zero permanent. The authors establish that for k = O(n), the probability of non-full permanental rank is approximately k/q^n, contrasting with the determinantal rank

Author

Informatica COE

Language

EN