Measures and Jacobians of singular random matrices
J. A. Diaz-Garcia
TL;DR
This paper investigates the Jacobians of singular transformations and the measures supporting these Jacobian computations, providing insights into the mathematical structure of singular random matrices.
Contribution
It introduces new methods for calculating Jacobians of singular transformations and characterizes the measures involved, advancing understanding of singular random matrices.
Findings
Derived explicit Jacobian formulas for singular transformations
Characterized measures supporting Jacobian computations
Enhanced mathematical framework for singular random matrices
Abstract
This work studies the Jacobians of certain singular transformations and the corresponding measures which support the jacobian computations.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Random Matrices and Applications · Advanced Algebra and Geometry