Tootfinder

Interesting listening to ScotCast's piece on #FlamingoLand with the Greens and Friends of Loch Lomond. Personally I can't see why anyone would support the development in the first place, but the FOLL guy really did his side no favours by personally attacking Ross Greer and generally falling into the trap of being aggressive and dismissive.

Dynamic Space Filling
P. L. Krapivsky
https://arxiv.org/abs/2506.01128 https://arxiv.org/pdf/2506.01128

Dynamic Space Filling
Dynamic space filling (DSF) is a stochastic process defined on any connected graph. Each vertex can host an arbitrary number of particles forming a pile, with every arriving particle landing on the top of the pile. Particles in a pile, except for the particle at the bottom, can hop to neighboring vertices. Eligible particles hop independently and stochastically, with the overall hopping rate set to unity for every eligible particle at every vertex. When the number of vertices in a graph is equa…

CyberGym: Evaluating AI Agents' Cybersecurity Capabilities with Real-World Vulnerabilities at Scale
Zhun Wang, Tianneng Shi, Jingxuan He, Matthew Cai, Jialin Zhang, Dawn Song
https://arxiv.org/abs/2506.02548

CyberGym: Evaluating AI Agents' Cybersecurity Capabilities with Real-World Vulnerabilities at Scale
Large language model (LLM) agents are becoming increasingly skilled at handling cybersecurity tasks autonomously. Thoroughly assessing their cybersecurity capabilities is critical and urgent, given the high stakes in this domain. However, existing benchmarks fall short, often failing to capture real-world scenarios or being limited in scope. To address this gap, we introduce CyberGym, a large-scale and high-quality cybersecurity evaluation framework featuring 1,507 real-world vulnerabilities fo…

This https://arxiv.org/abs/2409.02188 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Stochastic dark matter: Covariant Brownian motion from Planckian discreteness
Quantum gravity has long remained elusive from an observational standpoint. Developing effective cosmological models motivated by the fundamental aspects of quantum gravity is crucial for bridging theory with observations. One key aspect is the granularity of spacetime, which suggests that free particles would deviate from classical geodesics by following a covariant Brownian motion. This notion is further supported by swerves models in causal set theory, a discrete approach to quantum gravity.…

This https://arxiv.org/abs/2409.08347 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Sensitivity analysis of the perturbed utility stochastic traffic equilibrium
This paper develops a novel sensitivity analysis framework for the perturbed utility route choice (PURC) model and the accompanying stochastic traffic equilibrium model. We provide general results that determine the marginal change in link flows following a marginal change in link costs across the network in the cases of flow-independent and flow-dependent link costs. We derive analytical sensitivity expressions for the Jacobian of the individual optimal PURC flow and equilibrium link flows wit…

Stochastic Price Dynamics in Response to Order Flow Imbalance: Evidence from CSI 300 Index Futures
Chen Hu, Kouxiao Zhang
https://arxiv.org/abs/2505.17388 …

Stochastic Price Dynamics in Response to Order Flow Imbalance: Evidence from CSI 300 Index Futures
We conduct modeling of the price dynamics following order flow imbalance in market microstructure and apply the model to the analysis of Chinese CSI 300 Index Futures. There are three findings. The first is that the order flow imbalance is analogous to a shock to the market. Unlike the common practice of using Hawkes processes, we model the impact of order flow imbalance as an Ornstein-Uhlenbeck process with memory and mean-reverting characteristics driven by a jump-type Lévy process. Motivate…