Tootfinder

Spinfoam tunneling of quantum geometries in angle variables
Pietro Don\`a, Hal M. Haggard, Carlo Rovelli, Gowrisankar Sreeram, Jacopo Taddei
https://arxiv.org/abs/2507.16633

Spinfoam tunneling of quantum geometries in angle variables
Tunneling processes offer a promising path for finding signatures of quantum gravity. While tunneling of geometry has long been recognized in the literature, few detailed analyses have been carried out. We investigate covariant Loop Quantum Gravity transitions in the holonomy representation, which naturally encodes the extrinsic curvature of boundary states. We study these amplitudes within the simple framework of the Ponzano-Regge spinfoam model for three-dimensional Euclidean quantum gravity.…

Hach, damals, als man noch Bücher lesen und genießen konnte, ohne ständig mit Politik und Ideologie konfrontiert zu werden ...

Rigidity Results for Spacelike Self-Shrinkers via Different Maximum Principles
Weiller F. Chaves Barboza
https://arxiv.org/abs/2508.12196 https://arxiv.org…

Rigidity Results for Spacelike Self-Shrinkers via Different Maximum Principles
In this work, we establish several rigidity results for spacelike self-shrinkers immersed in the pseudo-Euclidean space $\mathbb{R}^{n+p}_p$. Under suitable boundedness conditions on either the mean curvature vector or the second fundamental form, we apply different versions of Omori--Yau type maximum principles due to Qiu [20], Chen and Qiu [10], and Alías, Caminha, and Nascimento [3] to show that such self-shrinkers must be spacelike hyperplanes. These results contribute to the broader class…

Self-Powered, Ultra-thin, Flexible, and Scalable Ultraviolet Detector Utilizing Diamond-MoS$_2$ Heterojunction
Yicheng Wang, Jixiang Jing, Yumeng Luo, Xiaomin Wang, Kuan Liang, Changsheng Chen, Dong-Keun Ki, Ye Zhu, Zhongqiang Wang, Qi Wang, Kwai Hei Li, Zhiqin Chu
https://arxiv.org/abs/2507.13909

Self-Powered, Ultra-thin, Flexible, and Scalable Ultraviolet Detector Utilizing Diamond-MoS$_2$ Heterojunction
The escalating demand for ultraviolet (UV) sensing in space exploration, environmental monitoring, and agricultural productivity necessitates detectors that are both environmentally and mechanically resilient. Diamond, featuring its high bandgap and UV absorption, exceptional mechanical/chemical robustness, and excellent thermal stability, emerges as a highly promising material for next-generation UV detection in various scenarios. However, conventional diamond-based UV detectors are constraine…

COLI: A Hierarchical Efficient Compressor for Large Images
Haoran Wang, Hanyu Pei, Yang Lyu, Kai Zhang, Li Li, Feng-Lei Fan
https://arxiv.org/abs/2507.11443

COLI: A Hierarchical Efficient Compressor for Large Images
The escalating adoption of high-resolution, large-field-of-view imagery amplifies the need for efficient compression methodologies. Conventional techniques frequently fail to preserve critical image details, while data-driven approaches exhibit limited generalizability. Implicit Neural Representations (INRs) present a promising alternative by learning continuous mappings from spatial coordinates to pixel intensities for individual images, thereby storing network weights rather than raw pixels a…

Rigidity of solitons of the Gauss curvature flow in Euclidean space
Rafael L\'opez
https://arxiv.org/abs/2507.12863 https://arxiv…

Rigidity of solitons of the Gauss curvature flow in Euclidean space
In this paper, we consider $λ$-translating solitons and $λ$-shrinkers of the Gauss curvature flow in Euclidean space. We prove that planes and circular cylinders are the only $λ$-translating solitons with constant mean curvature. We also prove that planes, spheres and circular cylinders are the only $λ$-shrinkers with constant mean curvature. We give a classification of the $λ$-translating solitons and $λ$-shrinkers with one constant principal curvature.

Flow Straight and Fast in Hilbert Space: Functional Rectified Flow
Jianxin Zhang, Clayton Scott
https://arxiv.org/abs/2509.10384 https://arxiv.org/pdf/2509…

Flow Straight and Fast in Hilbert Space: Functional Rectified Flow
Many generative models originally developed in finite-dimensional Euclidean space have functional generalizations in infinite-dimensional settings. However, the extension of rectified flow to infinite-dimensional spaces remains unexplored. In this work, we establish a rigorous functional formulation of rectified flow in an infinite-dimensional Hilbert space. Our approach builds upon the superposition principle for continuity equations in an infinite-dimensional space. We further show that this …

https://bird.makeup/users/janinisabel/statuses/1955501771893150026 mimimi

Janina Lionello
Was die Lippische Landes-Zeitung (LZ) mit einem Interviewpartner gemacht hat, ist ein eklatanter Verstoß gegen journalistische Prinzipien. Nachdem eine Redakteurin mit dem AfD-Kandidaten für das Bürgermeisteramt in Extertal, Jirka Möller, gesprochen hatte, meldete die Redaktion ihn den Behörden, da Aussagen fielen, die „verfassungswidrig sein oder rechtsextremistische Tendenzen des Interviewten offenbaren könnten.“ Der Chefredakteur hat mir den Vorgang bestätigt, möchte aber nicht…

A proof of the reverse isoperimetric inequality using a geometric-analytic approach
Naman Kumar
https://arxiv.org/abs/2508.13235 https://arxiv.org/pdf/2508…

A proof of the reverse isoperimetric inequality using a geometric-analytic approach
We present the first proof of the reverse isoperimetric inequality for black holes in arbitrary dimension using a two-pronged geometric-analytic approach. The proof holds for compact Riemannian hypersurfaces in AdS space and seems to be a generic property of black holes in the extended phase space formalism. Using Euclidean gravitational action, we show that, among all hypersurfaces of given volume, the round sphere in the $D$-dimensional Anti-de Sitter space maximizes the area (and hence the e…

Stationary surfaces for the moment of inertia with constant Gauss curvature
Rafael L\'opez
https://arxiv.org/abs/2507.12865 https://

Stationary surfaces for the moment of inertia with constant Gauss curvature
Consider the energy $E_α[Σ]=\int_Σ|p|^α\, dΣ$, where $Σ$ is a surface in Euclidean space $\r^3$ and $α\in\r$. We prove that planes and spheres are the only stationary surfaces for $E_α$ with constant Gauss curvature. We also characterize these surfaces assuming that a principal curvature is constant or that the mean curvature is constant.