Tootfinder

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}…

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/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…

"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…

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

The partition rank vs. analytic rank problem for cyclic groups II. Multiparameter Nilsequences and Applications
This is part II of the companion paper arXiv:2306.13820. We give improved equidistribution estimates for general and multiparameter nilsequences, obtaining bounds single exponential in dimension. We also give applications to quantitative Gowers uniformity of the Möbius and von Mangoldt functions, the complexity one polynomial Szemerédi theorem, and improve the bounds for the $U^4(\mathbb{Z}/N\mathbb{Z})$ inverse theorem, obtaining ``quasi-polynomial" bounds.

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…

Tesla ist ein börsennotiertes Unternehmen. Geführt wird es wie Elon Musks persönliches Königreich. Der Verwaltungsrat, dessen zentrale Funktion die Aufsicht über das Management ist, lässt Musk schalten und walten, wie er will. Die jüngsten Zahlen legen nun aber den Schluss nahe, dass Tesla sich erstmals ernsthafte Sorgen um die Nachfrage machen muss. Nun muss sich #Musk auch fragen lassen, ob

Tesla im Führungsvakuum: Schadet Elon Musk der Marke?
Elon Musk hat mit Tesla unbestritten Pionierarbeit geleistet. Aber die Erfolgsgeschichte des Elektroautoherstellers hat Risse bekommen. Dabei braucht es gerade jetzt eins: Stärke an der Spitze.

An RFP dataset for Real, Fake, and Partially fake audio detection
Abdulazeez AlAli, George Theodorakopoulos
https://arxiv.org/abs/2404.17721 https://

An RFP dataset for Real, Fake, and Partially fake audio detection
Recent advances in deep learning have enabled the creation of natural-sounding synthesised speech. However, attackers have also utilised these tech-nologies to conduct attacks such as phishing. Numerous public datasets have been created to facilitate the development of effective detection models. How-ever, available datasets contain only entirely fake audio; therefore, detection models may miss attacks that replace a short section of the real audio with fake audio. In recognition of this proble…

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