Tootfinder

Solving partial differential equations in participating media
Bailey Miller, Rohan Sawhney, Keenan Crane, Ioannis Gkioulekas
https://arxiv.org/abs/2506.08237

Solving partial differential equations in participating media
We consider the problem of solving partial differential equations (PDEs) in domains with complex microparticle geometry that is impractical, or intractable, to model explicitly. Drawing inspiration from volume rendering, we propose tackling this problem by treating the domain as a participating medium that models microparticle geometry stochastically, through aggregate statistical properties (e.g., particle density). We first introduce the problem setting of PDE simulation in participating medi…

This https://arxiv.org/abs/2004.09217 has been replaced.
link: https://scholar.google.com/scholar?q=a

Vanishing Chern classes for numerically flat Higgs bundles
I consider Higgs bundles satisfying a notion of ampleness that was introduce Bruzzo, Graña Otero and Hernández Ruipérez, and prove that the Chern classes of rank $r$ H-ample Higgs bundles over dimension $n$, polarized, smooth, complex, projective varieties are positive under opportune hypothesis. I extend this to non-negativeness of Chern classes of all numerically effective Higgs bundles; and use this condition to prove the vanishing of Chern classes of numerically flat Higgs bundles.

Degenerate complex Monge-Amp\`ere type equations on compact Hermitian manifolds and applications II
Haoyuan Sun, Zhiwei Wang
https://arxiv.org/abs/2506.07336

Degenerate complex Monge-Ampère type equations on compact Hermitian manifolds and applications II
Let $(X,ω)$ be a compact Hermitian manifold of complex dimension $n$, equipped with a Hermitian metric $ω$. Let $β$ be a possibly non-closed smooth $(1,1)$-form on $X$ such that $\int_Xβ^n>0$. Assume that there is a bounded $β$-plurisubharmonic function $ρ$ on $X$ and $\underline{\mathrm{Vol}}(β) > 0$. In this paper, we establish solutions to the degenerate complex Monge-Ampère equations on $X$ within the Bott-Chern space of $β$ (as introduced by Boucksom-Guedj-Lu) and derive stability…

Realization, Interpolation, Toeplitz corona and Extension Theorem for Tetrablock
Shubham Jain, Surjit Kumar, Milan Kumar Mal, Paramita Pramanick
https://arxiv.org/abs/2505.23492

Realization, Interpolation, Toeplitz corona and Extension Theorem for Tetrablock
We introduce a notion of Schur Agler class associated with the tetrablock and establish a realization theorem for this class. Furthermore, we provide a tetrablock analog of the interpolation theorem, the Toeplitz corona theorem, and an extension theorem.

Parity violation in photon quasinormal modes of black holes
Sugumi Kanno, Jiro Soda, Akira Taniguchi
https://arxiv.org/abs/2506.04149 https://

Parity violation in photon quasinormal modes of black holes
Given that black holes are ubiquitous in the universe and axion-like scalar fields are potential candidates for dark energy and/or dark matter, it is natural to consider cosmological black holes endowed with axion hair. We investigate the photon quasinormal modes of a Schwarzschild black hole with axion hair where the electromagnetic field is coupled to the axion field via a Chern-Simons interaction. We derive the master equations for the electromagnetic field as a set of coupled equations for …

This https://arxiv.org/abs/2505.11292 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepe…

Status of the International Linear Collider
This paper is not a proposal for a CERN future project but provides information on the International Linear Collider (ILC) considered for Japan in order to facilitate the European Strategy discussion in a global context. It describes progress to date, ongoing engineering studies, updated cost estimate for the machine at $\sqrt{s}=250~\rm GeV$ and the situation in Japan. The physics of the ILC is not presented here, but jointly for all Linear Collider projects in a separate document ``A Linear C…

Wishing the GÉANT community a peaceful break for all countries celebrating Easter this weekend! 💐
This year, the White Rabbit 🐰 isn’t just bringing colourful Easter eggs. It’s also delivering learning opportunities!
CERN's learning unit “Introduction to White Rabbit” has now been included in the GÉANT Optical Time & Frequency Networks (OTFN) eAcademy, and it’s the perfect way to hop into the world of precision timing and synchronisation.
🥚 Explore the course here:

Free Askey--Wilson functionals and geometric last passage percolation on a strip
Wlodek Bryc, Kamil Szpojankowski, Jacek Wesolowski
https://arxiv.org/abs/2506.01879

Free Askey--Wilson functionals and geometric last passage percolation on a strip
Barraquand, Corwin, and Yang arXiv:2306.05983 established that geometric last passage percolation (LPP) on a strip of $\mathbb{Z}^2$ has a unique stationary measure. Building on this, Barraquand arXiv:2409.08927 derived explicit contour integral formulas for the model's multipoint probability generating function. In this paper, we introduce free Askey--Wilson functionals and use them to extend these generating function formulas. Our framework yields explicit expressions valid over a broader ran…