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The Sixth Moment of Random Determinants for Arbitrarily Distributed Random Entries
Dominik Beck, Zelin Lv, Aaron Potechin
Via the method of marked permutation tables presented in this paper, we generalize the formula for the sixth moment of a random determinant to account for entries with arbitrary di…
Analysing the Moments of the Determinant of a Random Matrix Via Analytic Combinatorics of Permutation Tables
Dominik Beck, Zelin Lv, Aaron Potechin
We consider the following natural question. Given a matrix with i.i.d. random entries, what are the moments of the determinant of ? In other words, what is $\mathbb{E}[\det(…
On the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices
Dominik Beck, Zelin Lv, Aaron Potechin
In this paper, we analyze the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices. Using analytic combinatorics techniques, we determine the second…
On induced subgraphs of with maximum degree
Aaron Potechin, Hing Yin Tsang
In this paper, we consider induced subgraphs of the Hamming graph . We show that if and induces a subgraph of with maximum degree…