In the era of Machine Learning (ML), Natural Language Processing (NLP), and Artificial Intelligence (AI), high-dimensional matrices are ubiquitous. In these fields (and in many others), matrices are ...
This paper provides proof of conjectures about the expected values of the jth elementary symmetric function of the roots (i.e. $E(\operatorname{tr}_j A)$) of a non ...
We give an expression of the determinant of the push forward of a symmetric line bundle on a complex abelian fibration, in terms of the pull back of the relative dualizing sheaf via the zero section.
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