Tootfinder

Small solutions of ternary quadratic congruences with averaging over the moduli
Stephan Baier, Aishik Chattopadhyay
https://arxiv.org/abs/2509.16980 https://

Small solutions of ternary quadratic congruences with averaging over the moduli
In a recent paper, we proved that for any large enough odd modulus $q\in \mathbb{N}$ and fixed $α_2\in \mathbb{N}$ coprime to $q$, the congruence \[ x_1^2+α_2x_2^2+α_3x_3^2\equiv 0 \bmod{q} \] has a solution of $(x_1,x_2,x_3)\in \mathbb{Z}^3$ with $x_3$ coprime to $q$ of height $\max\{|x_1|,|x_2|,|x_3|\}\le q^{11/24+\varepsilon}$ for, in a sense, almost all $α_3$, where $α_3$ runs over the reduced residue classes modulo $q$. Here it was of significance that $1…

Exploring molecular supersolidity via exact and mean-field theories: single microwave shielding
Tiziano Arnone Cardinale, Thomas Bland, Stephanie M. Reimann
https://arxiv.org/abs/2509.18051

Exploring molecular supersolidity via exact and mean-field theories: single microwave shielding
Ultracold polar molecules with microwave shielding provide a powerful platform for exploring quantum many-body physics with strong, anisotropic interactions. We develop an extended Gross-Pitaevskii framework for bosonic molecules under single microwave shielding, incorporating effective interactions and quantum fluctuations, and benchmark it against exact Quantum Monte Carlo simulations. In the regime of positive scattering lengths, our approach captures superfluid, supersolid, and droplet phas…

Linear Viscoelasticity of Dilute Solutions of Semiflexible Polymers
Amit Varakhedkar, P. Sunthar, J. Ravi Prakash
https://arxiv.org/abs/2509.17631 https://…

Linear Viscoelasticity of Dilute Solutions of Semiflexible Polymers
The linear viscoelastic response of dilute solutions of semiflexible polymers is studied using Brownian dynamics simulations of coarse-grained bead-spring chains. The springs obey the FENE-Fraenkel force law, a bending potential is used to capture chain stiffness and hydrodynamic interactions are included through the Rotne-Prager-Yamakawa tensor. By calculating the relaxation modulus following a step strain, we demonstrate that the bead-spring chain behaves like an inextensible semiflexible rod…

Evaluating LLM Generated Detection Rules in Cybersecurity
Anna Bertiger, Bobby Filar, Aryan Luthra, Stefano Meschiari, Aiden Mitchell, Sam Scholten, Vivek Sharath
https://arxiv.org/abs/2509.16749

Evaluating LLM Generated Detection Rules in Cybersecurity
LLMs are increasingly pervasive in the security environment, with limited measures of their effectiveness, which limits trust and usefulness to security practitioners. Here, we present an open-source evaluation framework and benchmark metrics for evaluating LLM-generated cybersecurity rules. The benchmark employs a holdout set-based methodology to measure the effectiveness of LLM-generated security rules in comparison to a human-generated corpus of rules. It provides three key metrics inspired …

Crosslisted article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[2/2]:
- Exploring molecular supersolidity via exact and mean-field theories: single microwave shielding
Tiziano Arnone Cardinale, Thomas Bland, Stephanie M. Reimann

Sub-femtosecond stabilization of multicore fiber for high-fidelity quantum networking at 100% duty cycle
Takuma Nakamura, Nazanin Hoghooghi, Nicolas Fontaine, Tetsuya Hayashi, Takuji Nagashima, Nicholas V. Nardelli, Dileep V. Reddy, Martin J. Stevens, Tara Fortier, Lynden K. Shalm, Franklyn Quinlan
https://arxiv.org/abs/2509.17989

Sub-femtosecond stabilization of multicore fiber for high-fidelity quantum networking at 100% duty cycle
Originally envisioned as a solution for the capacity crunch in telecommunications networks, multicore fibers (MCF) are contributing to scientific fields beyond telecom, such as sensing and metrology. Confined within the same cladding, the cores of MCF have a high degree of noise correlation which can be harnessed for a variety of applications. Here, we investigate MCF as a solution to the challenging problem of quantum and classical light co-existence in quantum networks by operating the quantu…

Institutional Research Computing Capabilities in Australia: 2024
Slava Kitaeff, Luc Betbeder-Matibet, Jake Carroll, Stephen Giugni, David Abramson, John Zaitseff, Sarah Walters, David Powell, Chris Bording, Trung Nguyen, Angus Macoustra, Fabien Voisin, Bowen Chen, Jarrod Hurley
https://arxiv.org/abs/2509.17351

Institutional Research Computing Capabilities in Australia: 2024
Institutional research computing infrastructure plays a vital role in Australia's research ecosystem, complementing and extending national facilities. This paper analyses research computing capabilities across Australian universities and organisations, showing how institutional systems support research excellence through local compute resources, specialised hardware, and cluster solutions. Our study finds that nearly 112,258 CPU cores and 2,241 GPUs serve over 6,000 researchers as essential bri…

Jason Kelce Doesn’t Hold Back on Raiders After Loss to Chiefs https://heavy.com/sports/nfl/las-vegas-raiders/jason-kelce-las-vegas-chiefs/?adt_ei=[email]

Unaligned Incentives: Pricing Attacks Against Blockchain Rollups
Stefanos Chaliasos, Conner Swann, Sina Pilehchiha, Nicolas Mohnblatt, Benjamin Livshits, Assimakis Kattis
https://arxiv.org/abs/2509.17126

Unaligned Incentives: Pricing Attacks Against Blockchain Rollups
Rollups have become the de facto scalability solution for Ethereum, securing more than $55B in assets. They achieve scale by executing transactions on a Layer 2 ledger, while periodically posting data and finalizing state on the Layer 1, either optimistically or via validity proofs. Their fees must simultaneously reflect the pricing of three resources: L2 costs (e.g., execution), L1 DA, and underlying L1 gas costs for batch settlement and proof verification. In this work, we identify critical m…

„Es geht um die Wurst“ – und darum, den Blick zu bewahren. Diese Woche: die absurde Debatte um vegane Wurst, das nervige Dauergepiepse moderner Autos, journalistische Wortspiele über Trump und warum wir nicht in jedes Würstchen beißen sollten, die une die AfD hinhält. #Wochenschau

Bunter Wurstsalat in der #Wochenschau
„Es geht um die Wurst“ – und darum, den Blick zu bewahren. Diese Woche: die absurde Debatte um vegane Wurst, das nervige Dauergepiepse moderner Autos, journalistische Wortspiele über Trump und waru…