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Study of $\langle p_{\rm T} \rangle$ and its higher moments, and extraction of the speed of sound in Pb-Pb collisions with ALICE
ALICE Collaboration
https://arxiv.org/abs/2506.10394

Study of $\langle p_{\rm T} \rangle$ and its higher moments, and extraction of the speed of sound in Pb-Pb collisions with ALICE
Ultrarelativistic heavy-ion collisions create a quark-gluon plasma (QGP), a hot and dense state of strongly interacting QCD matter. In ultracentral collisions, the QGP volume remains nearly constant event-by-event, while its total entropy can fluctuate due to quantum effects, leading to temperature variations. These features allow the correlation between the mean transverse momentum $(\langle p_{\mathrm{T}} \rangle)$ of charged hadrons and their multiplicity to serve as a probe of the QGP's spe…

Algorithmic methods of finite discrete structures. Topological graph drawing (part III)
Sergey Kurapov, Maxim Davidovsky
https://arxiv.org/abs/2506.10936 h…

Algorithmic methods of finite discrete structures. Topological graph drawing (part III)
The manuscript considers mathematical models for creating a topological drawing of a graph based on the methods of G. Ringel's vertex rotation theory. An algorithm is presented for generating a topological drawing of a flat part of a graph based on the selection of a basis for the cycle subspace C(G) using the Monte Carlo method. A steepest descent method for constructing a topological drawing of a flat subgraph is described in the manuscript. The topological drawing of a graph is constructed u…

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Quantum Latin squares with all possible cardinalities
Ying Zhang, Xin Wang, Lijun Ji
https://arxiv.org/abs/2507.05642 https://arxiv.o…

Quantum Latin squares with all possible cardinalities
A quantum Latin square of order $n$ (denoted as QLS$(n)$) is an $n\times n$ array whose entries are unit column vectors from the $n$-dimensional Hilbert space $\mathcal{H}_n$, such that each row and column forms an orthonormal basis. Two unit vectors $|u\rangle, |v\rangle\in \mathcal{H}_n$ are regarded as identical if there exists a real number $θ$ such that $|u\rangle=e^{iθ}|v\rangle$; otherwise, they are considered distinct. The cardinality $c$ of a QLS$(n)$ is the numbe…

Expansion of normal subsets of odd-order elements in finite groups
Chris Parker, Jack Saunders
https://arxiv.org/abs/2507.07529 https://

Expansion of normal subsets of odd-order elements in finite groups
Let $G$ be a finite group and $K$ a normal subset consisting of odd-order elements. The rational closure of $K$, denoted $\mathbf D_K$, is the set of elements $x \in G$ with the property that $\langle x \rangle = \langle y \rangle$ for some $y$ in $K$. If $K^2 \subseteq \mathbf D_K$, we prove that $\langle K \rangle$ is soluble.

This https://arxiv.org/abs/2506.01291 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The Hasse principle for homogeneous polynomials with random coefficients over thin sets II
Let $d$ and $n$ be natural numbers. Let $ν_{d,n}: \mathbb{R}^n\rightarrow \mathbb{R}^{N}$ denote the Veronese embedding with $N=N_{n,d}:=\binom{n+d-1}{d}$, defined by listing all the monomials of degree $d$ in $n$ variables using the lexicographical ordering. Let $\langle \boldsymbol{a}, ν_{d,n}(\boldsymbol{x})\rangle\in \mathbb{Z}[\boldsymbol{x}]$ be a homogeneous polynomial in $n$ variables of degree $d$ with integer coefficients $\boldsymbol{a}$, where $\langle\cdot,\cdot\rangle$ denotes t…

I bought Rosemary's Baby (eBook). I've always wondered 🤷‍♂️ I've never seen the movie either. The funny thing is, it came as a connection after browsing through the Beastie Boys Wikipedia page, following the path:
Beasty Boys -> Ad-Rock -> Molly Ringwald -> Tempest (1982 film) -> John Cassavetes (1929 - 1989) -> Rosemary's Baby (1968 film) -> Ira Levin (1929 - 2007).
...and then finding out there's a pricier, DRM-ed EPUB2 (2011) vs a little b…

Achtung, die PayPal-Phishingspams, die gerade rumlaufen, dürften es öfter mal durch den Spamfilter schaffen. Nicht darauf reinfallen! Nicht reinklicken!
Die Spams klingen so:
http://spam.tamagothi.de/?p=26846 (HTTP, nicht HTTPS)
Klickt nicht in Mails, und ihr seid sicher. Legt eu…

On the Impossibility of Separating Intelligence from Judgment: The Computational Intractability of Filtering for AI Alignment
Sarah Ball, Greg Gluch, Shafi Goldwasser, Frauke Kreuter, Omer Reingold, Guy N. Rothblum
https://arxiv.org/abs/2507.07341

On the Impossibility of Separating Intelligence from Judgment: The Computational Intractability of Filtering for AI Alignment
With the increased deployment of large language models (LLMs), one concern is their potential misuse for generating harmful content. Our work studies the alignment challenge, with a focus on filters to prevent the generation of unsafe information. Two natural points of intervention are the filtering of the input prompt before it reaches the model, and filtering the output after generation. Our main results demonstrate computational challenges in filtering both prompts and outputs. First, we sho…

Achtung, die PayPal-Phishingspams, die gerade rumlaufen, dürften es öfter mal durch den Spamfilter schaffen. Nicht darauf reinfallen! Nicht reinklicken!
Die Spams klingen so:
http://spam.tamagothi.de/?p=26846 (HTTP, nicht HTTPS)
Klickt nicht in Mails, und ihr seid sicher. Legt eu…