Tootfinder

The current Some More News episode on "Toxic Nostalgia" and how it leads to fascism is a very good summary. It only slightly points at "generative AI" (which of course is very much connected to it) but it really illustrates the structures at play.
https://www.youtube.com/watch?v=qEddowzqOQE

Proof of a conjecture of Voss on bridges of longest cycles
Jie Ma, Rongxing Xu
https://arxiv.org/abs/2509.06345 https://arxiv.org/pdf/2509.06345

Proof of a conjecture of Voss on bridges of longest cycles
Bridges are a classical concept in structural graph theory and play a fundamental role in the study of cycles. A conjecture of Voss from 1991 asserts that if disjoint bridges $B_1, B_2, \ldots, B_k$ of a longest cycle $L$ in a $2$-connected graph overlap in a tree-like manner (i.e., induce a tree in the {\it overlap graph} of $L$), then the total {\it length} of these bridges is at most half the length of $L$. Voss established this for $k \leq 3$ and used it as a key tool in his 1991 monograph …

LMC : Large-scale mapping of [CII] and [OIII] in the LMC molecular ridge, I. Dataset and line ratio analyses
C. Fischer, S. C. Madden, A. Krabbe, F. L. Polles, D. Fadda, E. Tarantino, F. Galliano, C. -H. R. Chen, N. Abel, A. Beck, L. Belloir, F. Bigiel, A. Bolatto, M. Chevance, S. Colditz, N. Fischer, A. Green, A. Hughes, R. Indebetouw, C. Iserlohe, M. Ka\'zmierczak-Barthel, R. Klein, A. Lambert-Huyghe, V. Lebouteiller, E. Mikheeva, A. Poglitsch, L. Ramambason, W. Reach, M. Rubio, …

LMC+: Large-scale mapping of [CII] and [OIII] in the LMC molecular ridge, I. Dataset and line ratio analyses
The fundamental process of star formation in galaxies involves the interplay between the fueling of star formation via molecular gas and the feedback from recently formed massive stars. This process, by which galaxies evolve, is also closely connected to the intrinsic properties of the interstellar medium (ISM). To study the role that different molecular and atomic phases of the ISM play in star formation, and to characterize their physical conditions, we zoom into our nearest neighboring galax…

Carbon burning at stellar energies
S. Courtin, M. Heine, E. Monpribat, J. Nippert
https://arxiv.org/abs/2510.08206 https://arxiv.org/pdf/2510.08206

Carbon burning at stellar energies
Fusion reactions with light nuclei play an essential role in understanding the energy production, the nucleosynthesis of chemical elements and the evolution of massive stars. The measurement of key fusion reactions at stellar energies is thus of interest, but highly challenging since the associated cross sections are extremely small, of the sub-nanobarn range. Among these reactions, the fusion of carbon nuclei, which drives the stellar carbon burning phase, is deeply connected with essential mi…

Optimal rate-variance coding due to firing threshold adaptation near criticality
Mauricio Girardi-Schappo, Leonard Maler, Andr\'e Longtin
https://arxiv.org/abs/2509.04106 ht…

Optimal rate-variance coding due to firing threshold adaptation near criticality
Recurrently connected neuron populations play key roles in sensory perception and memory storage across various brain regions. While these populations are often assumed to encode information through firing rates, this method becomes unreliable with weak stimuli. We propose that in such cases, information can be transmitted via spatial spike patterns, employing a sparse or combinatorial coding based on firing rate variance. Around the critical point of a stochastic recurrent excitable network, w…

One-DoF Robotic Design of Overconstrained Limbs with Energy-Efficient, Self-Collision-Free Motion
Yuping Gu, Bangchao Huang, Haoran Sun, Ronghan Xu, Jiayi Yin, Wei Zhang, Fang Wan, Jia Pan, Chaoyang Song
https://arxiv.org/abs/2509.22002

One-DoF Robotic Design of Overconstrained Limbs with Energy-Efficient, Self-Collision-Free Motion
While it is expected to build robotic limbs with multiple degrees of freedom (DoF) inspired by nature, a single DoF design remains fundamental, providing benefits that include, but are not limited to, simplicity, robustness, cost-effectiveness, and efficiency. Mechanisms, especially those with multiple links and revolute joints connected in closed loops, play an enabling factor in introducing motion diversity for 1-DoF systems, which are usually constrained by self-collision during a full-cycle…

Diophantine analysis and Arthur's trace formula
Yuchan Lee
https://arxiv.org/abs/2509.22314 https://arxiv.org/pdf/2509.22314

Diophantine analysis and Arthur's trace formula
Let $X$ be a $G$-homogeneous space over a number field $k$ such that $X\cong G_γ\backslash G$. Here, $G$ is a simply connected semisimple group over $k$ and $γ\in G(k)$ whose centralizer $G_γ$ is a maximal torus in $G$ which is anisotropic over $k$. We formulate the asymptotic for the number of integral points on $X$ bounded by a fixed norm $T>0$ as $T\rightarrow \infty$ in terms of $κ$-orbital integrals, which play a role in the stabilization of Arthur's trace formula. This formula coincid…

Machine Learning Free Quotients of CICYs
Wei Cui, Xin Gao, Mohsen Karkheiran, Juntao Wang
https://arxiv.org/abs/2508.19157 https://arxiv.org/pdf/2508.19157…

Machine Learning Free Quotients of CICYs
Free quotients of Calabi-Yau manifolds play an important role in string compactification. In this paper, we explore machine learning techniques, such as fully connected neural networks and multi-head attention (MHA) models, as a potential approach to detect $\mathbb{Z}_2$, $\mathbb{Z}_3$, $\mathbb{Z}_4$ and $\mathbb{Z}_2\times\mathbb{Z}_2$ free quotients of CICYs. When tested on unseen examples, both models successfully identified almost all free quotients for $\mathbb{Z}_2$, $\mathbb{Z}_3$, $\…