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Trafic interrompu entre Saint-Lazare et Montparnasse Bienvenue et perturbé sur le reste de la ligne en raison d'une intervention des équipes techniques Š Varenne.
Reprise estimée : 10:15.
Veuillez emprunter des itinéraires alternatifs et vous rapprocher des agents RATP.
🤖 04/08 10:01

A Divisor-Weighted Golomb Sequence: Zeta Asymptotics and Arithmetic Fluctuations
Marco Mantovanelli
https://arxiv.org/abs/2610.03811 https://arxiv.org/pdf/2610.03811 https://arxiv.org/html/2610.03811
arXiv:2610.03811v1 Announce Type: new
Abstract: We study a divisor-weighted version of Golomb's self-description: the nondecreasing sequence $A$ in which each positive integer $m$ occurs $\sum_{d\mid m}A(d)$ times. This rule has a unique solution, and $$ A(n)\sim Cn^{\varphi-1},\quad C=\left(\frac{\varphi}{\zeta(\varphi)}\right)^{2-\varphi},\quad \varphi=\frac{1 \sqrt{5}}{2}. $$ The golden-ratio exponent of Golomb's sequence survives, while divisor weighting changes the leading constant.
We prove the asymptotic without assuming regular variation, by a contraction of upper and lower power envelopes. The argument applies to every nonnegative integer Dirichlet-convolution kernel $w$ with $w(1)=1$ and $\sum_q w(q)q^{-\varphi}<\infty$. For the divisor kernel, a quantitative version gives relative error $O_\gamma((\log n)^{-\gamma})$ for every $0<\gamma<1$.
Although the global growth is smooth, the normalized run lengths retain arithmetic fluctuations. A uniform comparison with the divisor sum $\sum_{d\mid m}d^{1-\varphi}$ transfers them to an explicit random Euler product. We prove that its law is singular continuous with full support $[1,\infty)$, determine all real Mellin moments, obtain the sharp maximal order of the fluctuations, and show that sampling sequence positions instead of block labels produces the size-biased law.
toXiv_bot_toot

Bin zwar später losgekommen als geplant, da das Richten und Packen von zum Wetterbericht passenden Klamotten — hatte die komplette Regenmontur dabei — doch mehr Zeit in Anspruch nahm, aber ansonsten ging der Plan auf: Bin gestern mit 'm #BromptonElectricGLine zur #MiniDebConfWinterthur

 Iran-aligned Houthis seized control of Yemen’s port city of Mocha on Thursday
and advanced down the Red Sea coast to strategic islands, military sources said,
hours after Donald Trump said he expected the Iran war to end after midterm elections.
Yemeni government military sources said the Houthis had gained further leverage over the Bab el-Mandeb Strait,
the southern outlet of the Red Sea and one of the world’s most important shipping routes,
and had reached t…

Houthis Seize Mocha, Tightening Grip on Bab el-Mandeb and Red Sea Shipping
Iran-aligned Houthis seized control of Yemen's port city of Mocha on Thursday, military sources said, posing a further threat to global energy supplies hours after President Donald Trump said he expected the war to end after mid-term elections.

🇺🇦 #NowPlaying on BBCRadio3's #Radio3Breakfast
George Frideric Handel, English Baroque Soloists, Monteverdi Choir, Christophe Rousset & Dame Sarah Connolly:
🎵 Messiah: O Thou That Tellest Good Tidings to Zion
#newRelease 🆕 album
https://open.spotify.com/track/6EAxyUBBVBIZD4h5RAEpRH

Imagine a newspaper publishing an opinion exclaimed by actual neo-Nazis a few days before.
Well imagine no more, I give you none other than the Winnipeg Sun, whose CEO is running to be Mayor of that City.
Full on residential school denialism.
I don’t think that it is a coincidence that so much fake-doubt has been drummed up since the passing of Murray Sinclair. We lost a strong, principled, and completely unavoidable voice for the facts of deaths and abuse of children at residential schools and Canada’s cultural genocide against First Nations, Inuit and Metis peoples.
The right are trying to fill the void with doubt. As they always do.
We must resist them forcefully.
Residential School denialism should be classified as hate speech.
#Canada #CanPoli #CdnPoli #News #Media #Manitoba #ResidentialSchools #FirstNations

🇺🇦 #NowPlaying on BBCRadio3's #EssentialClassics
Johann Sebastian Bach, Monteverdi Choir, English Baroque Soloists & Sir John Eliot Gardiner:
🎵 Fürchte dich nicht, ich bin bei dir, BWV 228
#JohannSebastianBach
https://open.spotify.com/track/1zfL1lU5UL037JxKdyHlZB

🇺🇦 #NowPlaying on BBCRadio3's #EssentialClassics
Georg Frederic Handel, Monteverdi Choir, English Baroque Soloists & Christophe Rousset:
🎵 For unto us a child is born (Messiah)
#GeorgFredericHandel #MonteverdiChoir #EnglishBaroqueSoloists #ChristopheRousset