Tootfinder

Nice to see Michael Hansmeyer still following his dreams: The White Tower was finally revealed 2 weeks ago, currently the largest 3D printed structure in the world (30 meters [90ft] tall), located in a small village in Switzerland:
https://www.michael-hansmeyer.com/white-tower

Tor Alva | White Tower - Project Overview
Tor Alva, White Tower, Weisser Turm in Mulegns, Switzerland, Origen Foundation

A counter example for the Homogeneity Conjecture
Ming Xu, Shaoqiang Deng
https://arxiv.org/abs/2506.09471 https://arxiv.org/pdf/2506.…

A counter example for the Homogeneity Conjecture
We construct a counter example to show that the Homogeneity Conjecture, first proposed by J.A. Wolf in 1962, is not true. To be precise, we prove that on the Lie group Sp(2), there exists a left invariant Riemannian metric and a cyclic subgroup Γ of order (2n+1), such that the left translation of each element of Γ on Sp(2) is a Clifford-Wolf translation, but the Riemannian quotient Γ\Sp(2) is not homogeneous.

Coexistence of static and dynamic local magnetic fields in an S = 3/2 honeycomb lattice antiferromagnet Co2Te3O8
J. Khatua, Suheon Lee, M. Pregelj, Samiul Sk, S. K. Panda, Bassam Hitti, Gerald D. Morris, I. da Silva, Kwang-Yong Choi, P. Khuntia
https://arxiv.org/abs/2506.09848

Coexistence of static and dynamic local magnetic fields in an S = 3/2 honeycomb lattice antiferromagnet Co2Te3O8
Two-dimensional honeycomb lattices, characterized by their low coordination numbers, provide a fertile platform for exploring various quantum phenomena due to the intricate interplay between competing magnetic interactions, spin-orbit coupling, and crystal electric fields. Beyond the widely studied Jeff= 1/2 honeycomb systems, S = 3/2 honeycomb lattices present a promising alternative route to realizing the classical spin liquid-like state within the spin-S Kitaev models. Herein, we present cry…

Universality of the entropy stairway in homogeneous isotropization
Gustavo de Oliveira, Willians Barreto, Romulo Rougemont
https://arxiv.org/abs/2506.10294

Universality of the entropy stairway in homogeneous isotropization
We numerically investigate the time evolution of the non-equilibrium entropy during the homogeneous isotropization dynamics of the 2 R-Charge Black Hole (2RCBH) model, corresponding to a top-down holographic fluid defined at finite temperature and R-charge density. In addition to the entropy, we also analyze the time evolution of the pressure anisotropy and the scalar condensate of the medium. When the system is far-from-equilibrium the dominant and weak energy conditions can be transiently vio…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
The Raincoats:
🎵 Running Away
#TheRaincoats
https://open.spotify.com/track/5HNwgMrDzIxKepdVz34TwY

Turnpike Property of Stochastic Linear-Quadratic Optimal Control Problems in Large Horizons with Regime Switching I: Homogeneous Cases
Hongwei Mei, Rui Wang, Jiongmin Yong
https://arxiv.org/abs/2506.09337

Turnpike Property of Stochastic Linear-Quadratic Optimal Control Problems in Large Horizons with Regime Switching I: Homogeneous Cases
This paper is concerned with optimal control problems for a linear homogeneous stochastic differential equation having regime switching with purely quadratic functional in the large time horizons. We establish the so-called turnpike properties for the optimal pairs. The key is to prove a proper convergence of the solutions to the differential Riccati equations to the algebraic Riccati equation. Even for the problems without regime switchings, our result provides a refined estimate compared to t…

Homology manifolds and homogeneous compacta
Vesko Valov
https://arxiv.org/abs/2505.07196 https://arxiv.org/pdf/2505.07196

Homology manifolds and homogeneous compacta
A non-trivial separable metric space $X$ is called an almost homology $n$-manifold if the homology groups $H_k(X,X\backslash\{x\},\mathbb Z)$ are trivial for all $x\in X$ and all $k=0,1,..,n-1$. We provide a necessary and sufficient condition locally compact homogeneous $ANR$-spaces or strongly locally homogeneous $ANR$-spaces to be almost homology $n$-manifolds.

Reinforced Refinement with Self-Aware Expansion for End-to-End Autonomous Driving
Haochen Liu, Tianyu Li, Haohan Yang, Li Chen, Caojun Wang, Ke Guo, Haochen Tian, Hongchen Li, Hongyang Li, Chen Lv
https://arxiv.org/abs/2506.09800

Reinforced Refinement with Self-Aware Expansion for End-to-End Autonomous Driving
End-to-end autonomous driving has emerged as a promising paradigm for directly mapping sensor inputs to planning maneuvers using learning-based modular integrations. However, existing imitation learning (IL)-based models suffer from generalization to hard cases, and a lack of corrective feedback loop under post-deployment. While reinforcement learning (RL) offers a potential solution to tackle hard cases with optimality, it is often hindered by overfitting to specific driving cases, resulting i…

Deformation of ellipsoidal droplets in homogeneous and isotropic turbulence
Fabio Guglietta, Diego Taglienti, Mauro Sbragaglia
https://arxiv.org/abs/2506.09692

Deformation of ellipsoidal droplets in homogeneous and isotropic turbulence
We study the statistics of deformation of neutrally buoyant droplets in homogeneous isotropic turbulence (HIT), wherein the characteristic droplet size $R$ is smaller than the characteristic Kolmogorov scale $η$ of the turbulent flow. We systematically focus on the characterization of droplet statistics obtained with various phenomenological ellipsoidal models (EMs) -- assuming that the droplet preserves the ellipsoidal shape at all times - with the droplet moving as a passive tracer in the tu…

My son's becoming a true master with #WorldPainter & #WorldMachine and has been creating some stunning and super detailed landscapes (not just alpines ones) for #Minecraft/Ardacraft/…

Nekso (@Nekso@mastodon.gamedev.place)
Attached: 2 images The new map is officially out! Download here: https://www.planetminecraft.com/project/etelande-free-custom-realistic-minecraft-mountain-range-2-5k-x-2-5k-1-21-5/ #minecraft #minecraftmap #terrain