Consider a higher dimensional (or rather multivariate) gaussian
$$f(x) = \frac{1}{\sqrt{(2\pi)^n \det{M}}}e^{-\frac{1}{2}x^TM^{-1}x}$$
where $M$ is some matrix. What limit of the above one must take to get some higher dimensional (or multivariate?) delta-function?
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I’m reading the following definitions and theorem on alternating sign matrices (ASMs).
Definition 1. Alternating sign matrices (ASMs) are square matrices with the following properties:
entries $\in\{0,1,-1\}$
the entries in each row and column sum to 1
nonzero entries in each row and column alt...
In mathematics, an alternating sign matrix is a square matrix of 0s, 1s, and −1s such that the sum of each row and column is 1 and the nonzero entries in each row and column alternate in sign. These matrices generalize permutation matrices and arise naturally when using Dodgson condensation to compute a determinant. They are also closely related to the six-vertex model with domain wall boundary conditions from statistical mechanics. They were first defined by William Mills, David Robbins, and Howard Rumsey in the former context.
== Example ==
An example of an alternating sign matrix (that is not...
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