Tootfinder

Open Hurwitz numbers and the mKP hierarchy
Alexandr Buryak, Ran J. Tessler, Mikhail Troshkin
https://arxiv.org/abs/2510.08038 https://arxiv.org/pdf/2510.08…

Open Hurwitz numbers and the mKP hierarchy
We give a natural definition of open Hurwitz numbers, where the weight of each ramified covering includes an integer parameter $N$ taken to the power that is equal to the number of boundary components of a Riemann surface with boundary mapping to $\mathbb{CP}^1$. We prove that the resulting sequence of partition functions, depending on $N\in\mathbb{Z}$, is a tau-sequence of the mKP hierarchy, or in other words it is a sequence of tau-functions of the KP hierarchy where each tau-function is obta…

Data-driven multifidelity and multiscale topology optimization based on phasor-based evolutionary de-homogenization
Shuzhi Xu, Yifan Guo, Hiroki Kawabe, Kentaro Yaji
https://arxiv.org/abs/2510.08830

Data-driven multifidelity and multiscale topology optimization based on phasor-based evolutionary de-homogenization
Multiscale topology optimization is crucial for designing porous infill structures with high stiffness-to-weight ratios and excellent energy absorption. Although gradient-based methods provide a rigorous framework, they are computationally expensive and struggle to capture cross-scale sensitivities in nonlinear settings. Moreover, the resulting hierarchical geometries are often overly complex and lack macroscopically meaningful features. To overcome these issues, we propose an evolutionary de-h…

Harmeet Dhillon, a former Trump lawyer placed in charge of the Justice Department’s Civil Rights Division,
bragged to the Wall Street Journal that she “wakes up around 6am and begins her workday scrolling through X, searching for claims of discrimination …
After spotting ‘a list of new horrors,’ she said,
‘I text my deputies, and we assign cases, and we get cranking.’”
Dhillon’s office has been bleeding staff, since experienced lawyers are largely disinclined to waste…

The triumph of bullshit
Internet conspiracy theories are now official government policy.