Tootfinder

Yet another #minimalist #piano #song I have composed these last days, that fits in a single page.
I wanted to record myself playing it but it's too late already around here, so here is a

Unitarity-Conserving Non-Minimally Coupled Inflation and the ACT Spectral Index
J. McDonald
https://arxiv.org/abs/2506.12916 https://…

Unitarity-Conserving Non-Minimally Coupled Inflation and the ACT Spectral Index
The Atacama Cosmology Telescope (ACT) collaboration has reported a scalar spectral index $ n_s~=~0.9743~\pm~0.0034 $. This is substantially larger than the classical prediction of non-minimally coupled inflation models such as Higgs Inflation, $n_s \approx 0.965$. Here we revisit the unitarity-conserving non-minimally coupled inflation model proposed in [1]. We show that when the inflaton is a complex non-minimally coupled gauge singlet scalar with additional interactions in the Jordan frame to…

Comparing Minimal and Non-Minimal Quintessence Models to 2025 DESI Data
Husam Adam, Mark P. Hertzberg, Daniel Jim\'enez-Aguilar, Iman Khan
https://arxiv.org/abs/2509.13302 h…

Comparing Minimal and Non-Minimal Quintessence Models to 2025 DESI Data
In this work we examine the 2025 DESI analysis of dark energy, which suggests that dark energy is evolving in time with an increasing equation of state $w$. We explore a wide range of quintessence models, described by a potential function $V(φ)$, including: quadratic potentials, quartic hilltops, double wells, cosine functions, Gaussians, inverse powers. We find that while some provide improvement in fitting to the data, compared to a cosmological constant, the improvement is only modest. We t…

Physics-informed neural network solves minimal surfaces in curved spacetime
Koji Hashimoto, Koichi Kyo, Masaki Murata, Gakuto Ogiwara, Norihiro Tanahashi
https://arxiv.org/abs/2509.10866

Physics-informed neural network solves minimal surfaces in curved spacetime
We develop a flexible framework based on physics-informed neural networks (PINNs) for solving boundary value problems involving minimal surfaces in curved spacetimes, with a particular emphasis on singularities and moving boundaries. By encoding the underlying physical laws into the loss function and designing network architectures that incorporate the singular behavior and dynamic boundaries, our approach enables robust and accurate solutions to both ordinary and partial differential equations…

A valuative approach to the anticanonical minimal model program
Sung Rak Choi, Sungwook Jang, Donghyeon Kim, Dae-Won Lee
https://arxiv.org/abs/2506.13637 h…

A valuative approach to the anticanonical minimal model program
In this paper, we show that the log canonical threshold of a potentially klt triple can be computed by a quasi-monomial valuation. The notion of potential triples provides a larger and more flexible framework to work with than that of generalized pairs. Our main result can be considered as an extension to the result of Xu on klt pairs. As an application of the main result, we show that we can run the MMP on any potentially klt triples and $-(K_X+Δ)$-MMP on the potentially klt pairs.

On minimal conditions in semigroups and biacts
Craig Miller
https://arxiv.org/abs/2506.13617 https://arxiv.org/pdf/2506.13617

On minimal conditions in semigroups and biacts
We systematically study the minimal conditions on $\mathcal{L}$-, $\mathcal{R}$- and $\mathcal{J}$-classes, denoted by $M_L$, $M_R$ and $M_J$, as well as the related notions of left/right/two-sided stability, in semigroups and biacts. In particular, we investigate the behaviour of these conditions with respect to quotients, substructures and extensions. Among other results, the following are proved. The conditions $M_L$, $M_R$ and $M_J$ are preserved under quotients (for both semigroups and bia…

Harmonic functions on minimal submanifold with cylindrical cone
Yu Wang
https://arxiv.org/abs/2509.10792 https://arxiv.org/pdf/2509.10792

Harmonic functions on minimal submanifold with cylindrical cone
In this paper, we study the relationship between the dimension of linear space of harmonic function with growth bounded by a fixed-degree polynomial on a minimal submanifold in Euclidean space and that on its one cylindrical tangent cone at infinity by using the method in [6, 7]. Specifically, if this degree does not coincide with any growth of polynomial-growth harmonic functions on the cone, then the corresponding dimensions are equal.

Pretty unique, non-clichéd, slow, minimal, dubby, syncopated, accented with vocal/vowel fragments:
Drames Rurals - L'empelt (2021)
https://www.youtube.com/watch?v=T3SSti6bdZM

Special flow systems with the minimal self-joining property
Yibo Zhai
https://arxiv.org/abs/2507.10962 https://arxiv.org/pdf/2507.109…

Special flow systems with the minimal self-joining property
Arnol'd flows are a class of area-preserving flows on surfaces. In this paper, we prove that typical Arnol'd flows have the minimal self-joinings property. Consequently, we can classify centralizers and factors of typical Arnol'd flows.

Microsoft is using engineers in China
to help maintain the Defense Department’s computer systems
— with minimal supervision by U.S. personnel
— leaving some of the nation’s most sensitive data vulnerable to hacking from its leading cyber adversary,
a ProPublica investigation has found.
The arrangement, which was critical to Microsoft winning the federal government’s cloud computing business a decade ago,
relies on U.S. citizens with security clearances to …

A Little-Known Microsoft Program Could Expose the Defense Department to Chinese Hackers
The Pentagon bans foreign citizens from accessing highly sensitive data, but Microsoft bypasses this by using engineers in China and elsewhere to remotely instruct American “escorts” who may lack expertise to identify malicious code.