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Let $R$ be a ring of characteristic $p>0$. The (absolute) Frobenius is the map of rings $F_R:Rrightarrow R$ defined by $xmapsto x^p$. I am interested in...
Asked on 12/30/2020 by anon1432
0 answerSetting. Let $G(n,p)$ denote the usual Erdős-Renyi (random) graphs. For each such graph there is an associated Laplacian matrix $L = D - A$ where $D$ collects...
Asked on 12/30/2020 by Stefan Steinerberger
1 answerLet $X_{N}inmathcal{M}_{N}big(L^{infty-}(Omega,mathbb{P})big)$ be a $Ntimes N$ random complex matrix such its entries $(x_{ij}, 1leq i, jleq N)$ be $i.i.d.$, centred with variance $1$. ...
Asked on 12/29/2020 by Iliyo
1 answerI've come up with an idea of an integer sequence. It can be formulated (perhaps a bit loosely) as follows: For n points N(n) is the number of configurations...
Asked on 12/29/2020 by A Z
1 answerThe boundary of any convex open set $X$ is $mathbb R^n$ is a rectifiable hypersurface.To see this, intuitively, simply take a sphere $S_d$ with diameter $din(0,+infty]$...
Asked on 12/28/2020
1 answerLet $K$ be a number field. Let $G_K$ be its absolute Galois group.Let $p$ be a rational prime. Let $mathcal{R}_{K,p}^g$ be the category of finite-dimensional...
Asked on 12/27/2020 by smn
0 answerI recently asked this question on MSE. So I want to move it here in hope to gain a more wordy answer. I have read around about bicategories, lax...
Asked on 12/27/2020 by Lolman
1 answerGiven $a,b,c,dinmathbb Z$ with $ad+bc=p$ a prime there is an $minmathbb Z$ with $-lceil1+sqrt{p}rceil<r_1,r_2<lceil1+sqrt{p}rceil$ and$$r_1equiv macbmod p$$$$r_2equiv mbdbmod p$$where ...
Asked on 12/27/2020
1 answerRecently, I'd come across the following kind of operators and I wonder if they have been considered before and given a name. Let's say that a linear map $T:Vto...
Asked on 12/26/2020 by Pea
0 answerLet $X$ be a Banach space (over $mathbb C$), and let $mathcal L(X)$ be its algebra of bounded linear operators. Let $Usubset mathbb C^N$ be an...
Asked on 12/26/2020 by André Henriques
2 answerGet help from others!
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