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# Questions tagged [reference-request]

This tag is used if a reference is needed in a paper or textbook on a specific result.

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### Provenance of a result on regular simplices with integer vertices

There are several MO questions related to the question of characterizing those integers $n$ for which there exists a regular $n$-simplex in $\mathbb{R}^n$ with integer vertices, e.g., coordinates of ...
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### Feasibility criteria in Integer Linear Programming

Consider an integer linear programming problem: For $A\in M(m, n, \mathbb{Z})$ and $b\in \mathbb{Z}^m$ find $x=(x_1,\ldots,x_n)^T\in \mathbb{Z}^n_{\geqslant0}$ such that $Ax=b$. Sometimes one ...
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### Reference request for (weak*) metrizability of a bounded space of signed Radon measures on a compact set

I know the following is true and I know how to prove it (cf. exercise 50 on page 171 in Folland, Theorem 7.18 in Folland), but per my adviser's instructions, it would be better to find a source to ...
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### Quantitive and computational improvement of the Oseledets multiplicative ergodic theorem for irrational rotation

Consider irrational rotation $T:S^1\to S^1, T(x) = x + \alpha$ where $\alpha\notin \mathbb{Q}$ (you may assume additional number theoretic properties of $\alpha$, say $\alpha = \sqrt{2}$ is already ...
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Suppose we have a graph $G$ on $n$ vertices $x_1 , \dots, x_n$ attached with weights of values from $1$ to $n$. We will write $\text{weight}(x_i)$ as simply $x_i$ and let $\text{diff}(G) = \min _{(x_i,... 0answers 75 views ### Independent conditions imposed by a collection of double points Let's consider the following statement : There exist a collection of$d$points$\gamma \subset \mathbb{P}^{n}$, so that$h_{\Bbb P^n}(\gamma^{2} ,m) = \min\{(n+1)d, \binom {n+m}{n}\}$implies for any ... 0answers 26 views ### Neumann equation on manifold with edge or corner Let$(M,g)$be a compact Riemannian manifold with boudnary and corner, i.e. locally mdoelled in$[0,\infty)^1\times \mathbb R^{n-1}$or$[0,\infty)^k\times \mathbb R^{n-k}$, where$n=\dim(M)$. ... 0answers 57 views ### Defining pull-back of Chow groups under a morphism of special type Let$X$be a normal complex projective variety (not necessarily smooth), and let$Y$be a smooth complex projective variety. Let$Z\subset X$be a smooth closed subvariety. Let$\pi : Y\rightarrow X$... 1answer 128 views ### Mapping Problems to Boolean Formulas for SAT Solvers I came across Marijn Heule and Oliver Kullmann's paper on recent techniques in highly efficient SAT solvers. In particular they describe the Pythagorian Triple Problem, which they solved using that ... 0answers 56 views ### Spectra of one dimensional Schrodinger operators [on hold] I am trying to understand how to compute the spectra of one-dimensional Schr?dinger operators $$\mathcal{L}:=-\partial_x^2+V,$$ where$V$is a bounded function in the whole line. I am particularly ... 1answer 381 views ### Reference request: The unit of an adjunction of$\infty\$-categories in the sense of Riehl-Verity is a unit in the sense of Lurie

I'm looking for a reference (or proof) for the statement given in the title: that when we have an adjunction between quasicategories in the sense of Riehl and Verity (defined e.g. in Section 4 of ...

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