Tootfinder

The life and times of dark matter haloes: what will I be when I grow up?
Julian Onions, Frazer Pearce, Alexander Knebe, Meghan Gray, Roan Haggar, Ulrike Kuchner, Ana Contreras-Santos, Gustavo Yepes, Weiguang Cui
https://arxiv.org/abs/2508.18778

The life and times of dark matter haloes: what will I be when I grow up?
Are the most massive objects in the Universe today the direct descendants of the most massive objects at higher redshift? We address this question by tracing the evolutionary histories of haloes in the MultiDark Planck2 simulation. By following the 100 most massive halos at $z = 0$ across cosmic time, we find that only 40\% of them were among the largest 100 halos at $z = 1$. This suggests that many of today's most massive clusters were not the most dominant structures at earlier times, while s…

Online Sparsification of Bipartite-Like Clusters in Graphs
Joyentanuj Das, Suranjan De, He Sun
https://arxiv.org/abs/2508.05437 https://arxiv.org/pdf/2508.…

Online Sparsification of Bipartite-Like Clusters in Graphs
Graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most graph clustering algorithms is to find a vertex set of low conductance, a sequence of recent studies highlights the importance of the inter-connection between vertex sets when analysing real-world datasets. Following this line of research, in this work we study bipartite-like clusters and present efficient and onlin…

Inferring Dynamic Physical Properties from Video Foundation Models
Guanqi Zhan, Xianzheng Ma, Weidi Xie, Andrew Zisserman
https://arxiv.org/abs/2510.02311 https://

Inferring Dynamic Physical Properties from Video Foundation Models
We study the task of predicting dynamic physical properties from videos. More specifically, we consider physical properties that require temporal information to be inferred: elasticity of a bouncing object, viscosity of a flowing liquid, and dynamic friction of an object sliding on a surface. To this end, we make the following contributions: (i) We collect a new video dataset for each physical property, consisting of synthetic training and testing splits, as well as a real split for real world …

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures
Gustavo Jasso, Fernando Muro
https://arxiv.org/abs/2509.22625 https://arxiv…

The Derived Auslander--Iyama Correspondence II: Bimodule Calabi--Yau Structures
Let $d$ be a positive integer. In a previous article we established a bijective correspondence between the following classes of objects, considered up to the appropriate notion of equivalence: differential graded algebras with finite-dimensional $0$-th cohomology such that the canonical generator of their perfect derived category is a basic $d\mathbb{Z}$-cluster tilting object, and basic Frobenius algebras that are twisted $(d+2)$-periodic as bimodules. For $d=1$ this correspondence specialises…