5:14 AM
8

This question is not really about elementary topoi, it is much more about a category $(\mathcal{E}, \Omega)$ admitting a subobject classifier, or about a category with power objects, you can choose the context that inspires you the most. Of course, elementary topoi are the go-to example. Q: Can ...

5 hours later…
10:01 AM
2

Theorem 1.9 in Daniel Galiffa and Tanya Riston's paper, An elementary approach to characterizing Sheffer A-type 0 orthogonal polynomial sequences, 2015, presents without proof Isador Sheffer's classification of orthogonal polynomials of A-type 0 into what are now known as Laguerre, Hermite, Charl...

7 hours later…
5:16 PM
3

(This question was previously posted on MSE and I decided to post it here too.) I am studying the proof of the Malgrange preparation theorem given in the book "Stable mappings and their singularities" written by Golubitsky and Guillemin (see Chapter IV). The statement is the following. Let $F\in... 1 I am interested in explicit expression or bounds for the Fourier transform (characteristic function) of the joint probability distribution of eigenvalues of random matrices$X\sim \mathrm{GUE} (d)$, where$\mathrm{GUE} (d)$stands for Gaussian Unitary Ensemble in dimension$d\$. The expression for...