Tootfinder

Goal-Oriented Low-Rank Tensor Decompositions for Numerical Simulation Data
Daniel M. Dunlavy, Eric T. Phipps, Hemanth Kolla, John N. Shadid, Edward Phillips
https://arxiv.org/abs/2508.11139

Goal-Oriented Low-Rank Tensor Decompositions for Numerical Simulation Data
We introduce a new low-dimensional model of high-dimensional numerical simulation data based on low-rank tensor decompositions. Our new model aims to minimize differences between the model data and simulation data as well as functions of the model data and functions of the simulation data. This novel approach to dimensionality reduction of simulation data provides a means of directly incorporating quantities of interests and invariants associated with conservation principles associated with the…

Harnessing the frequency eigenchannels of ultrafast time-varying media
I. R. Hooper, D. B. Phillips, S. A. R. Horsley
https://arxiv.org/abs/2508.12753 https://

Harnessing the frequency eigenchannels of ultrafast time-varying media
Control over the interaction of waves with ultrafast time-varying materials - those that change on a time-scale commensurate with the wave period - holds much promise for developing a raft of new technologies. Time-varying materials exchange energy with the waves passing through them, thus exhibiting entirely new phenomena not possible with static media. Work to date has largely considered the realisation of ultrafast time-varying materials, with much less attention paid to how their interactio…

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8)
Wen Ting Zhang, Rui Zhi Tang, Jin Xing Zhao
https://arxiv.org/abs/2507.18432 https://arxiv.org/p…

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8)
Gaetz, Pechenik, Pfannerer, Striker, and Swanson introduced the concept of hourglass plabic graphs and provided a method for computing web diagrams and invariants corresponding to $4\times n$ Young tableaux, while Elkin, Musiker, and Wright applied Lam's method to explicitly compute the webs compatible with cluster variables in Gr(3,n) and their twists, namely, the preimages of the immanant map introduced by Fraser, Lam, and Le. In this paper, we use these two methods to compute both the web di…

Good Morning #Canada
When I'm on the interwebs looking for material to post every morning, I occasionally come across an interesting bit of history that isn't taught in school. Today, courtesy of @…, we get the tale of two French aristocrats who are embezzling from the colony of Quebec that they were sworn to oversee and protect. The wife of one of the men is having an affair with the other, apparently with permission. After narrowly escaping death by British cannonball, the trio fled to France after Quebec City fell to Britain. There, they faced scandal and were blamed for the loss of France's colonies, facing prison and banishment. French aristocracy knew how to have a good time.
#CanadaIsAwesome #LoveTriangle #History
https://youtu.be/PsdPCuBg3fs?si=olJU6_qOFUK_im8F