Tootfinder

Derangements in finite classical groups and characteristic polynomials of random matrices
Jason Fulman, Robert Guralnick
https://arxiv.org/abs/2507.21025 https://

Derangements in finite classical groups and characteristic polynomials of random matrices
We first obtain explicit upper bounds for the proportion of elements in a finite classical group G with a given characteristic polynomial. We use this to complete the proof that the proportion of elements of a finite classical group G which lie in a proper irreducible subgroup tends to 0 as the dimension of the natural module goes to infinity. This result is analogous to the result of Luczak and Pyber [15] that the proportion of elements of the symmetric group S_n which are contained in a prope…

The topological Breuil-M\'ezard conjecture for classical groups
Zhongyipan Lin
https://arxiv.org/abs/2508.19722 https://arxiv.org/pdf/2508.19722…

The topological Breuil-Mézard conjecture for classical groups
For unitary, orthogonal and symplectic groups, we compute the dimension of the reduced Emerton-Gee stacks, and give an explicit description of their top-dimensional Chow group. Our results are unconditional when $p\neq 2$. The main innovation is a new method for analyzing the vanishing locus of Galois cup products valued in high dimensions.

Constraints on the dark sector from electroweak precision observables
B. M. Loizos, X. G. Wang, A. W. Thomas, M. J. White, A. G. Williams
https://arxiv.org/abs/2506.20080

Constraints on the dark sector from electroweak precision observables
We revisit the Standard Model fit to electroweak precision observables in using the latest data and the Particle Data Group (PDG) measurement of the W boson mass. The analysis is then repeated in light of the new W boson mass measurement from the Collider Detector at Fermilab (CDF) collaboration. We then introduce a dark photon to the model, placing constraints on the parameter space arising from these electroweak precision observables, both for the PDG and CDF values for the W boson mass. We a…

Background Measurements and Simulations of the ComPair Balloon Flight
Zachary Metzler, Nicholas Kirschner, Lucas Smith, Nicholas Cannady, Makoto Sasaki, Daniel Shy, Regina Caputo, Carolyn Kierans, Aleksey Bolotnikov, Thomas J. Caligiure, Gabriella A. Carini, A. Wilder Crosier, Jack Fried, Priyarshini Ghosh, Sean Griffin, J. Eric Grove, Elizabeth Hays, Sven Herrmann, Emily Kong, Iker Liceaga-Indart, Julie McEnery, John Mitchell, A. A. Moiseev, Lucas Parker, Jeremy Perkins, Bernard Phlip…

Background Measurements and Simulations of the ComPair Balloon Flight
ComPair, a prototype of the All-sky Medium Energy Gamma-ray Observatory (AMEGO), completed a short-duration high-altitude balloon campaign on August 27, 2023 from Fort Sumner, New Mexico, USA. The goal of the balloon flight was the demonstration of ComPair as both a Compton and Pair telescope in flight, rejection of the charged particle background, and measurement of the background $γ$-ray spectrum. This analysis compares measurements from the balloon flight with Monte Carlo simulations to ben…

Triadic First-Order Logic Queries in Temporal Networks
Omkar Bhalerao, Yunjie Pan, C. Seshadhri, Nishil Talati
https://arxiv.org/abs/2507.17215 https://

Triadic First-Order Logic Queries in Temporal Networks
Motif counting is a fundamental problem in network analysis, and there is a rich literature of theoretical and applied algorithms for this problem. Given a large input network $G$, a motif $H$ is a small "pattern" graph indicative of special local structure. Motif/pattern mining involves finding all matches of this pattern in the input $G$. The simplest, yet challenging, case of motif counting is when $H$ has three vertices, often called a "triadic" query. Recent work has focused on "temporal g…

Lifespan Pancreas Morphology for Control vs Type 2 Diabetes using AI on Largescale Clinical Imaging
Lucas W. Remedios, Chloe Cho, Trent M. Schwartz, Dingjie Su, Gaurav Rudravaram, Chenyu Gao, Aravind R. Krishnan, Adam M. Saunders, Michael E. Kim, Shunxing Bao, Thomas A. Lasko, Alvin C. Powers, Bennett A. Landman, John Virostko
https://arxi…

Lifespan Pancreas Morphology for Control vs Type 2 Diabetes using AI on Largescale Clinical Imaging
Purpose: Understanding how the pancreas changes is critical for detecting deviations in type 2 diabetes and other pancreatic disease. We measure pancreas size and shape using morphological measurements from ages 0 to 90. Our goals are to 1) identify reliable clinical imaging modalities for AI-based pancreas measurement, 2) establish normative morphological aging trends, and 3) detect potential deviations in type 2 diabetes. Approach: We analyzed a clinically acquired dataset of 2533 patients …

Show Me Your Best Side: Characteristics of User-Preferred Perspectives for 3D Graph Drawings
Lucas Joos, Gavin J. Mooney, Maximilian T. Fischer, Daniel A. Keim, Falk Schreiber, Helen C. Purchase, Karsten Klein
https://arxiv.org/abs/2506.09212

Show Me Your Best Side: Characteristics of User-Preferred Perspectives for 3D Graph Drawings
The visual analysis of graphs in 3D has become increasingly popular, accelerated by the rise of immersive technology, such as augmented and virtual reality. Unlike 2D drawings, 3D graph layouts are highly viewpoint-dependent, making perspective selection critical for revealing structural and relational patterns. Despite its importance, there is limited empirical evidence guiding what constitutes an effective or preferred viewpoint from the user's perspective. In this paper, we present a systema…

Schlechte Planung muss durch bessere Planung und nicht durch Missachtung der StVO kompensiert werden.
Ich hab echt kein Verständnis dafür, dass grobe Schlamperei auch noch wirtschaftlich auf Kosten der Verkehrssicherheit belohnt werden soll.
#Falschparker sind eine Pest, kein auch nur irgendwie erstrebenswertes politisches Anliegen.

Exploring Content and Social Connections of Fake News with Explainable Text and Graph Learning
V\'itor N. Louren\c{c}o, Aline Paes, and Tillman Weyde
https://arxiv.org/abs/2508.10040

Exploring Content and Social Connections of Fake News with Explainable Text and Graph Learning
The global spread of misinformation and concerns about content trustworthiness have driven the development of automated fact-checking systems. Since false information often exploits social media dynamics such as "likes" and user networks to amplify its reach, effective solutions must go beyond content analysis to incorporate these factors. Moreover, simply labelling content as false can be ineffective or even reinforce biases such as automation and confirmation bias. This paper proposes an expl…

RUBIES spectroscopically confirms the high number density of quiescent galaxies from $\mathbf{2<z<5}$
Yunchong Zhang, Anna de Graaff, David J. Setton, Sedona H. Price, Rachel Bezanson, Claudia del P. Lagos, Sam E. Cutler, Ian McConachie, Nikko J. Cleri, Olivia R. Cooper, Rashmi Gottumukkala, Jenny E. Greene, Michaela Hirschmann, Gourav Khullar, Ivo Labbe, Joel Leja, Michael V. Maseda, Jorryt Matthee, Tim B. Miller, Themiya Nanayakkara, Katherine A. Suess, Bingjie Wang, Katherine …

RUBIES spectroscopically confirms the high number density of quiescent galaxies from $\mathbf{2
We present the number density of massive ($ \mathrm{ log (M_{*}/M_{\odot}) > 10.3} $) quiescent galaxies at $2