Tootfinder

[...] durchschnittlich jede Woche wird in #Australien mindestens eine Frau ermordet, meist von ihrem Partner oder ihrem Ex. Allein in diesem Jahr wurden schon 27 Frauen Opfer männlicher Gewalt – fast doppelt so viele wie im Vorjahreszeitraum.

This https://arxiv.org/abs/2312.10772 has been replaced.
link: https://scholar.google.com/scholar?q=a

Efficient Equidistribution of Nilsequences
We give improved bounds for the equidistribution of (multiparameter) nilsequences subject to any degree filtration. The bounds we obtain are single exponential in dimension, improving on double exponential bounds of Green and Tao. To obtain these bounds, we avoid "induction of dimension" which is ubiquitous throughout higher order Fourier analysis. These improved equidistribution results are a crucial ingredient in joint work with Sah and Sawhney proving quasi-polynomial bounds for $U^{s + 1}…

"Not even Wrong" on the horseshoe theory of politics, the (again a beautiful neologism) enshitternet and the horrifying realisation that quite a few on the hard right don't even consider women people.
Read the whole glorious thread by @…
"Politics aren't just a matter of who you agree with on a given issue - the real issue is…

Doskozil ist zurück - „Gibt derzeit nichts Persönliches zu besprechen“ #News #Nachrichten

Ik heb een hekel aan overdadig gebruik van afkortingen, acroniemen. Het is, om een toepasselijk – en woordspelig – Engels neologisme te gebruiken, bloody acronymious.

On recurrence for $\mathbb{Z}^d$-nilsystems
Sebasti\'an Donoso, Felipe Hern\'andez, Alejandro Maass
https://arxiv.org/abs/2402.16838 https://

On recurrence for $\mathbb{Z}^d$-nilsystems
We study the topological recurrence phenomenon of actions of locally compact abelian groups on compact metric spaces. We address the popular Katznelson's question in this context and extend recurrence lifting results, known for $\mathbb{Z}$-actions, to this more general context. In the case $H=\mathbb{Z}^d$, we develop new techniques to analyze Bohr recurrence sets, and show that Bohr recurrence implies recurrence for a $\mathbb{Z}^d$-nilsystem $(G/Γ,\mathbb{Z}^d)$, under the assumption that t…

This https://arxiv.org/abs/2306.13820 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Efficient equidistribution of periodic nilsequences and applications
This is a companion paper to arXiv:2312.10772. We deduce an equidistribution theorem for periodic nilsequences and use this theorem to give two applications in arithmetic combinatorics. The first application is quasi-polynomial bounds for a certain complexity one polynomial progression, improving the iterated logarithm bound previusly obtained. The second application is a proof of the quasi-polynomial $U^4[N]$ inverse theorem. In work with Sah and Sawhney, we obtain improved bounds for sets lac…

Ik heb een hekel aan overdadig gebruik van afkortingen, acroniemen. Het is, om een toepasselijk – en woordspelig – Engels neologisme te gebruiken, bloody acronymious.

This https://arxiv.org/abs/2204.03754 has been replaced.
link: https://scholar.google.com/scholar?q=a

Higher uniformity of arithmetic functions in short intervals I. All intervals
We study higher uniformity properties of the Möbius function $μ$, the von Mangoldt function $Λ$, and the divisor functions $d_k$ on short intervals $(X,X+H]$ with $X^{θ+\varepsilon} \leq H \leq X^{1-\varepsilon}$ for a fixed constant $0 \leq θ< 1$ and any $\varepsilon>0$. More precisely, letting $Λ^\sharp$ and $d_k^\sharp$ be suitable approximants of $Λ$ and $d_k$ and $μ^\sharp = 0$, we show for instance that, for any nilsequence $F(g(n)Γ)$, we have \[ \sum_{X < n \leq X+H} (f(n)-f^\…