Tootfinder

Dynamical tide modified Roche limit in eccentric, asynchronous binaries
Hang Yu, Shu Yan Lau, Ethan Mckeever, Phil Arras, Nevin N. Weinberg
https://arxiv.org/abs/2508.20183 http…

Dynamical tide modified Roche limit in eccentric, asynchronous binaries
The Roche limit, or the threshold separation within which a celestial object (the donor) M cannot remain in a stable configuration due to a companion's tidal field, has been well established when M is in hydrostatic equilibrium and has synchronous rotation in a circular orbit. However, limited analyses exist considering corrections to the Roche limit due to hydrodynamical effects. We fill in the gap by providing a general theoretical framework involving nonlinear hydrodynamics. We consider both…

I, Robot? Socio-Technical Implications of Ultra-Personalized AI-Powered AAC; an Autoethnographic Account
Tobias Weinberg, Ricardo E. Gonzalez Penuela, Stephanie Valencia, Thijs Roumen
https://arxiv.org/abs/2509.13671

I, Robot? Socio-Technical Implications of Ultra-Personalized AI-Powered AAC; an Autoethnographic Account
Generic AI auto-complete for message composition often fails to capture the nuance of personal identity, requiring significant editing. While harmless in low-stakes settings, for users of Augmentative and Alternative Communication (AAC) devices, who rely on such systems for everyday communication, this editing burden is particularly acute. Intuitively, the need for edits would be lower if language models were personalized to the communication of the specific user. While technically feasible, su…

Dark gaps and resonances in barred galaxies
Taehyun Kim, Dimitri A. Gadotti, Myeong-gu Park, Yun Hee Lee, Francesca Fragkoudi, Minjin Kim, Woong-Tae Kim
https://arxiv.org/abs/2510.10427

Dark gaps and resonances in barred galaxies
Dark gaps, low surface brightness regions along the bar minor axis, are expected to form as a consequence of secular evolution in barred galaxies. Although several studies have proposed links between dark gap locations and dynamical resonances, the results remain inconclusive. Using DESI Legacy Imaging Survey data, we find that approximately 61% of barred galaxies exhibit pronounced dark gaps. We compare the location of dark gaps with resonance radii derived from the Tremaine-Weinberg method ap…

Smoothness of extremizers for certain inequalities of the Radon transform
Taryn C. Flock
https://arxiv.org/abs/2508.00783 https://arxiv.org/pdf/2508.00783

Smoothness of extremizers for certain inequalities of the Radon transform
The Radon transform is a bounded operator from $L^p$ of Euclidean space to $L^q$ of the manifold of all affine hyperplanes in $\mathbb{R}^n$ for certain exponents depending dimension. Extremizers have been determined for certain values of $q$ and $p$, but most remain open. We show that extremizers are infinitely differentiable whenever the exponents in the associated Euler-Lagrange equation, $q-1$ and $\frac1{p-1}$, are integers. The proof adapts the method of Christ and Xue, to the case wher…