Tootfinder

Supersymmetries in the theory of W-algebras
Andrew Linshaw, Arim Song, Uhi Rinn Suh
https://arxiv.org/abs/2510.03957 https://arxiv.org/pdf/2510.03957

Supersymmetries in the theory of W-algebras
Let $\mathfrak{g}$ be a basic Lie superalgebra and $f$ be an odd nilpotent element in an $\mathfrak{osp}(1|2)$ subalgebra of $\mathfrak{g}$. We provide a mathematical proof of the statement that the W-algebra $W^k(\mathfrak{g},F)$ for $F=-\frac{1}{2}[f,f]$ is a vertex subalgebra of the SUSY W-algebra $W_{N=1}^k(\mathfrak{g},f)$, and that it commutes with all weight $\frac{1}{2}$ fields in $W_{N=1}^k(\mathfrak{g},f)$. Note that it has been long believed by physicists \cite{MadRag94}. In par…

MetaBreak: Jailbreaking Online LLM Services via Special Token Manipulation
Wentian Zhu, Zhen Xiang, Wei Niu, Le Guan
https://arxiv.org/abs/2510.10271 https://

MetaBreak: Jailbreaking Online LLM Services via Special Token Manipulation
Unlike regular tokens derived from existing text corpora, special tokens are artificially created to annotate structured conversations during the fine-tuning process of Large Language Models (LLMs). Serving as metadata of training data, these tokens play a crucial role in instructing LLMs to generate coherent and context-aware responses. We demonstrate that special tokens can be exploited to construct four attack primitives, with which malicious users can reliably bypass the internal safety ali…

Multitype contact process with sterile states
Nicolas Lanchier, Max Mercer, Hyunsik Yun
https://arxiv.org/abs/2510.05397 https://arxiv.org/pdf/2510.05397…

Multitype contact process with sterile states
This paper considers a natural variant of the $d$-dimensional multitype contact process in which individuals can be fertile or sterile. Fertile individuals of type $i$ give birth to an offspring of their own type at rate $λ_i$, the offspring being fertile with probability $p_i$ and sterile with probability $1 - p_i$, whereas sterile individuals can't give birth. Offspring are sent to one of the neighbors of their parent's location and take place in the system if and only if the target site is …

Confidence Regions for Multiple Outcomes, Effect Modifiers, and Other Multiple Comparisons
Paul N Zivich, Stephen R Cole, Noah Greifer, Lina M Montoya, Michael R Kosorok, Jessie K Edwards
https://arxiv.org/abs/2510.07076

Confidence Regions for Multiple Outcomes, Effect Modifiers, and Other Multiple Comparisons
In epidemiology, some have argued that multiple comparison corrections are not necessary as there is rarely interest in the universal null hypothesis. From a parameter estimation perspective, epidemiologists may still be interested in multiple parameters. In this context, standard confidence intervals are not guaranteed to provide simultaneous coverage of more than one parameter. In other words, use of confidence intervals in these cases will understate the uncertainty due to random error. To a…

Two-Stage Voting for Robust and Efficient Suicide Risk Detection on Social Media
Yukai Song, Pengfei Zhou, C\'esar Escobar-Viera, Candice Biernesser, Wei Huang, Jingtong Hu
https://arxiv.org/abs/2510.08365

Two-Stage Voting for Robust and Efficient Suicide Risk Detection on Social Media
Suicide rates have risen worldwide in recent years, underscoring the urgent need for proactive prevention strategies. Social media provides valuable signals, as many at-risk individuals - who often avoid formal help due to stigma - choose instead to share their distress online. Yet detecting implicit suicidal ideation, conveyed indirectly through metaphor, sarcasm, or subtle emotional cues, remains highly challenging. Lightweight models like BERT handle explicit signals but fail on subtle impli…

The odometer in subcritical activated random walk
Tobias Johnson, Jacob Richey
https://arxiv.org/abs/2510.05514 https://arxiv.org/pdf/2510.05514

The odometer in subcritical activated random walk
We consider the activated random walk particle system, a model of self-organized criticality, on $\mathbb{Z}$ with i.i.d.-Bernoulli initial configuration. We show that at subcritical density, the system's odometer function, which counts the number of actions taken at each site, has a stretched exponential tail. It follows that the expected odometer at each site is finite.

Critical thresholds in stochastic rumors on trees
Jhon F. Puerres, Valdivino V. Junior, Pablo M. Rodriguez
https://arxiv.org/abs/2510.05352 https://arxiv.o…

Critical thresholds in stochastic rumors on trees
The vertices of a tree represent individuals in one of three states: ignorant, spreader, or stifler. A spreader transmits the rumor to any of its nearest ignorant neighbors at rate one. At the same rate, a spreader becomes a stifler after contacting nearest-neighbor spreaders or stiflers. The rumor survives if, at all times, there exists at least one spreader. We consider two extensions and prove phase transition results for rumor survival. First, we consider the infinite Cayley tree of coordin…

Global weak martingale solutions to a stochastic two-sidedly degenerate aggregation-diffusion equation issued from biology
Mostafa Bendahmane, Mohamed Mehdaoui, Mouhcine Tilioua
https://arxiv.org/abs/2510.03947

Global weak martingale solutions to a stochastic two-sidedly degenerate aggregation-diffusion equation issued from biology
The purpose of this paper is to establish the well-posedness of martingale (probabilistic weak) solutions to stochastic degenerate aggregation--diffusion equations arising in biological and public health contexts. The studied equation is of a stochastic degenerate parabolic type, featuring a nonlinear two-sidedly degenerate diffusion term accounting for repulsion, a locally Lipschitz reaction term representing competitive interactions, and a stochastic perturbation term capturing environmental …