Tootfinder

Computing $H$-equations with 2-by-2 integral matrices
Gemma Bastardas, Enric Ventura
https://arxiv.org/abs/2506.05272 https://arxiv.o…

Computing $H$-equations with 2-by-2 integral matrices
We study the transference through finite index extensions of the notion of equational coherence, as well as its effective counterpart. We deduce an explicit algorithm for solving the following algorithmic problem about size two integral invertible matrices: ''given $h_1,\ldots, h_r; g\in \operatorname{PSL}_2(\mathbb{Z})$, decide whether $g$ is algebraic over the subgroup $H=\langle h_1,\ldots ,h_r\rangle \leqslant \operatorname{PSL}_2(\mathbb{Z})$ (i.e., whether there exist a non-trivial $H$-eq…

High-pressure Induced Phase Transition and Laser Characterization Response of MAPbBr$_3$ Thin Films
Xin Tang, Ruilin Li, Shuaiqi Li, Dingke Zhang
https://arxiv.org/abs/2506.03499 …

High-pressure Induced Phase Transition and Laser Characterization Response of MAPbBr3 Thin Films
The high-pressure behavior of 3D metal halide chalcogenides (MHPs) has been widely studied. In the field of high-pressure technology, the studies on 3D MHPs have focused on the structural and optical properties, where the optical properties are mainly investigated on the photoluminescence behavior, while the laser properties of the materials have not been studied yet. In this paper, MAPbBr3-MAAc films with ionic liquid methylammonium acetate (MAAc) as solvent and conventional MAPbBr3-DMF:DMSO f…

A Framework Leveraging Large Language Models for Autonomous UAV Control in Flying Networks
Diana Nunes, Ricardo Amorim, Pedro Ribeiro, Andr\'e Coelho, Rui Campos
https://arxiv.org/abs/2506.04404

A Framework Leveraging Large Language Models for Autonomous UAV Control in Flying Networks
This paper proposes FLUC, a modular framework that integrates open-source Large Language Models (LLMs) with Unmanned Aerial Vehicle (UAV) autopilot systems to enable autonomous control in Flying Networks (FNs). FLUC translates high-level natural language commands into executable UAV mission code, bridging the gap between operator intent and UAV behaviour. FLUC is evaluated using three open-source LLMs - Qwen 2.5, Gemma 2, and LLaMA 3.2 - across scenarios involving code generation and mission …

Bollywood, French films, Spaghetti westerns and others take note.
The orange stain known as the greatest actor to ever appear on the boob tube hereby proclaims.
Donald J. Trump
@realDonaldTrump · May 4, 2025, 7:18 PM

The Movie Industry in America is DYING a very fast death. Other Countries are offering all sorts of incentives to draw our filmmakers and studios away from the United States. Hollywood, and many other areas within the U.S.A., are being devastated. …

Ritual Heaps – Deep Harm 4 Masterless Hearts
#ambient

The number of primes not in a numerical semigroup
Yong-Gao Chen, Hui Zhu
https://arxiv.org/abs/2506.03625 https://arxiv.org/pdf/2506.…

The number of primes not in a numerical semigroup
For two coprime positive integers $a,b$, let $π^* (a, b)$ be the number of primes that cannot be represented as $au+bv$, where $u,v$ are nonnegative integers. In this paper, we prove that $π^* (a, b)\ge 0.014 π(ab-a-b)$ and pose following conjecture: $π^* (a, b)\ge \frac 12 π(ab-a-b)$, where $π(x)$ denotes the number of primes not exceeding $x$. This conjecture is confirmed for $1\le a\le 8$.

This https://arxiv.org/abs/2401.04391 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kawamata-Miyaoka type inequality for canonical $\mathbb Q$-Fano varieties II: Terminal $\mathbb Q$-Fano threefolds
We prove an optimal Kawamata-Miyaoka type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, we obtain that any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka type inequality \[ c_1(X)^3 < 3c_2(X)c_1(X). \]

This https://arxiv.org/abs/2505.20597 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

LSZ ghostbusters in the quadratic gravity stage
The present letter considers the quantization method developed in [1]-[9], which postulates that, in several situations, negative norm or ghost states can be avoided in order to give positive probabilities. These authors also postulate a candidate for a path integral for those theories, following pioneer works initiated by Dirac [10]} and Pauli \[11]. However, taking into account the non standard oscillator algebra inherent to this method, in order to be sure that unitarity is not violated, one…

Violation of Luttinger's theorem in one-dimensional interacting fermions
Meng Gao, Yin Zhong
https://arxiv.org/abs/2506.04064 https://

Violation of Luttinger's theorem in one-dimensional interacting fermions
Using the density matrix renormalization group method, we systematically investigate the evolution of the Luttinger integral in the one-dimensional generalized t-V model as a function of filling and interaction strength, identifying three representative phases. In the weak-coupling regime, the zero-frequency Green's function shows a branch-cut structure at the Fermi momentum, and the Luttinger integral accurately reflects the particle density. As the interaction increases, the spectral weight n…

Bollywood, French films, Spaghetti westerns and others take note.
The orange stain known as the greatest actor to ever appear on the boob tube hereby proclaims.
Donald J. Trump
@realDonaldTrump · May 4, 2025, 7:18 PM

The Movie Industry in America is DYING a very fast death. Other Countries are offering all sorts of incentives to draw our filmmakers and studios away from the United States. Hollywood, and many other areas within the U.S.A., are being devastated. …