Tootfinder

Optimal Bounds for Distinct Quartics
Panagiotis Charalampopoulos, Pawe{\l} Gawrychowski, Samah Ghazawi
https://arxiv.org/abs/2403.06667 https://

Optimal Bounds for Distinct Quartics
A fundamental concept related to strings is that of repetitions. It has been extensively studied in many versions, from both purely combinatorial and algorithmic angles. One of the most basic questions is how many distinct squares, i.e., distinct strings of the form $UU$, a string of length $n$ can contain as fragments. It turns out that this is always $\mathcal{O}(n)$, and the bound cannot be improved to sublinear in $n$ [Fraenkel and Simpson, JCTA 1998]. Several similar questions about repe…

Combinatorial approach to Andrews-Gordon and Bressoud type identities
Jehanne Dousse, Fr\'ed\'eric Jouhet, Isaac Konan
https://arxiv.org/abs/2403.05414

Combinatorial approach to Andrews-Gordon and Bressoud type identities
We provide combinatorial tools inspired by work of Warnaar to give combinatorial interpretations of the sum sides of the Andrews-Gordon and Bressoud identities. More precisely, we give an explicit weight- and length-preserving bijection between sets related to integer partitions, which provides these interpretations. In passing, we discover the $q$-series version of an identity of Kurşungöz, similar to the Bressoud identity but with opposite parity conditions, which we prove combinatorially u…

Changed my Bluesky handle to my home page https://j12t.org. That was quite painless (for a geek; I filled out their web form and added a TXT record).
They did that quite nicely. We should have something similar for the ActivityPub Fediverse -- yes, I understand that's a bit harder to do but not impossibl…

ALMA, as part of the Event Horizon Telescope, is unveiling a new image of our Milky Way's supermassive black hole, Sagittarius A*, in which strong magnetic fields can be seen…
The most exciting part is that this hints to a jet that would be hidden from our vantage point in our galaxy… but imagine that! We might be like M87, just at a smaller scale!

Astronomers unveil strong magnetic fields spiraling at the edge of Milky Way’s central black hole | ALMA
A new image from the Event Horizon Telescope (EHT) collaboration has uncovered strong and organized magnetic fields spiraling from the edge of the supermassive black hole Sagittarius A* (Sgr A*). Seen in polarised light for the first time, this new view of the monster lurking at the heart of the Milky Way galaxy has revealed...

The Asymmetric Bipolar Fe II Jet and H2 Outflow of TMC1A Resolved with JWST's NIRSpec IFU
Korash Assani, Daniel Harsono, Jon Ramsey, Zhi-Yun Li, Per Bjerkeli, Klaus Pontoppidan, {\L}ukasz Tychoniec, Hannah Calcutt, Lars Kristensen, Jes Jorgensen, Adele Plunkett, Martijn van Gelder, Logan Francis
https://arxiv.org/abs/2404.18…

The Asymmetric Bipolar Fe II Jet and H2 Outflow of TMC1A Resolved with JWST's NIRSpec IFU
(abridged) Protostellar outflows exhibit large variations in their structure depending on the observed gas emission. This study analyzes the atomic jet and molecular outflow in the Class I protostar, TMC1A to characterize morphology and identify previously undetected spatial features with JWST's NIRSpec IFU. In addition to identifying a large number of Fe II and H2 lines, we have detected the bipolar Fe jet by revealing, for the first time, the presence of a red-shifted atomic jet. Similarly, t…

Changed my Bluesky handle to my home page https://j12t.org. That was quite painless (for a geek; I filled out their web form and added a TXT record).
They did that quite nicely. We should have something similar for the ActivityPub Fediverse -- yes, I understand that's a bit harder to do but not impossibl…

“Weil zum Beispiel nicht klar definiert werde, was Extremismus sei, kritisierte die grüne Abgeordnete Laura Neugebauer, könne eine Exmatrikulation in Zukunft jede politisch aktive Person treffen.“
Schnellere Exmatrikulationen: Hitzige Debatte im Abgeordnetenhaus zum neuen Hochschulgesetz | rbb24

#FreePalestine #IsraelIsAnApartheidState #CeasefireNow

This https://arxiv.org/abs/2202.00888 has been replaced.
link: https://scholar.google.com/scholar?q=a

Heavy quark potential and jet quenching parameter in a rotating D-instanton background
We get the dual gravity metric of the rotating nuclear matter by performing a standard Lorentz transformation on the static metric in the D-instanton background. Then, we study the effects of the angular velocity, the instanton density and the temperature on the heavy quark potential. It is shown that the angular velocity and the temperature promote dissociation of the quark-antiquark pair, and the instanton density suppresses dissociation. Similarly, according to the result of the jet quenchin…

The LOFAR-eFEDS survey: The incidence of radio and X-ray AGN and the disk-jet connection
Z. Igo, A. Merloni, D. Hoang, J. Buchner, T. Liu, M. Salvato, R. Arcodia, S. Bellstedt, M. Br\"uggen, J. H. Croston, F. de Gasperin, A. Georgakakis, M. J. Hardcastle, K. Nandra, Q. Ni, T. Pasini T. Shimwell, J. Wolf
https://arxiv.org/ab…

The LOFAR-eFEDS survey: The incidence of radio and X-ray AGN and the disk-jet connection
Radio jets are present in a diverse sample of AGN. However, the mechanisms of jet powering are not fully understood, and it is yet unclear to what extent they obey mass-invariant scaling relations, similar to those found for the triggering and fuelling of X-ray selected AGN. We study the incidence of eROSITA/eFEDS X-ray and LOFAR radio AGN as a function of several stellar mass normalised AGN power indicators. A new sample of radio AGN from the LOFAR-eFEDS survey is defined and we publicly relea…