In this study various Jacobians of transformations of singular random matrices are found. An alternative proof of Uhlig's first conjecture (Uhlig (1994)) is proposed. Furthermore, we propose various extensions of this conjecture under different singularities. Finally, an application of the theory of singular distributions is discussed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am36-2-10, author = {Jos\'e A. D\'\i az-Garc\'\i a and Ram\'on Guti\'errez-J\'aimez}, title = {Jacobians of certain transformations of singular matrices}, journal = {Applicationes Mathematicae}, volume = {36}, year = {2009}, pages = {241-249}, zbl = {1169.62040}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-2-10} }
José A. Díaz-García; Ramón Gutiérrez-Jáimez. Jacobians of certain transformations of singular matrices. Applicationes Mathematicae, Tome 36 (2009) pp. 241-249. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-2-10/