Tootfinder

Nine takeaways on Brazil’s crackdown on illegal mining in Munduruku lands https://news.mongabay.com/2025/06/nine-takeaways-on-brazils-crackdown-on-illegal-mining-in-munduruku-lands/

Nine takeaways on Brazil’s crackdown on illegal mining in Munduruku lands
Mongabay published a five-part series delving into Brazil’s ongoing operation to evict illegal gold miners from Munduruku Indigenous territories, deep in the Amazon Rainforest. While there has been some disruption to mining in the region, Munduruku organizations told Mongabay the operation is not yet completely successful, with small groups of illegal miners, or garimpeiros, still […]

Some mining today on Albion Asia when Albion EU was offline for maintenance.
As of this moment the guild "Mastodon Fediverse 100 Tax" got 8 members and 3 are online including me.
#AlbionOnline #MastodonFediAsia

Ahlfors-regularity for minimizers of a multiphase optimal design problem
Luca Esposito, Lorenzo Lamberti, Giovanni Pisante
https://arxiv.org/abs/2506.15861

Ahlfors-regularity for minimizers of a multiphase optimal design problem
We establish an Alhfors-regularity result for minimizers of a multiphase optimal design problem. It is a variant of the classical variational problem which involves a finite number of chambers $\mathcal{E}(i)$ of prescribed volume that partition a given domain $Ω\subset\mathbb{R}^n$. The cost functional associated with a configuration $\left(\{\mathcal{E}(i)\}_i,u\right)$ is made up of the perimeter of the partition interfaces and a Dirichlet energy term, which is discontinuous across the inte…

Contextual Pattern Mining and Counting
Ling Li, Daniel Gibney, Sharma V. Thankachan, Solon P. Pissis, Grigorios Loukides
https://arxiv.org/abs/2506.17613 h…

Contextual Pattern Mining and Counting
Given a string $P$ of length $m$, a longer string $T$ of length $n>m$, and two integers $l\geq 0$ and $r\geq 0$, the context of $P$ in $T$ is the set of all string pairs $(L,R)$, with $|L|=l$ and $|R|=r$, such that the string $LPR$ occurs in $T$. We introduce two problems related to the notion of context: (1) the Contextual Pattern Mining (CPM) problem, which given $T$, $(m,l,r)$, and an integer $τ>0$, asks for outputting the context of each substring $P$ of length $m$ of $…

Ich habe noch keine endgültige Meinung dazu, dass es jetzt einen Online-Shop für Merch-Artikel mit dem Logo vom Bundesnachrichtendienst gibt. Sagen wir mal: bemerkenswert.
https://www.bnd.shop/

EASE: Embodied Active Event Perception via Self-Supervised Energy Minimization
Zhou Chen, Sanjoy Kundu, Harsimran S. Baweja, Sathyanarayanan N. Aakur
https://arxiv.org/abs/2506.17516

EASE: Embodied Active Event Perception via Self-Supervised Energy Minimization
Active event perception, the ability to dynamically detect, track, and summarize events in real time, is essential for embodied intelligence in tasks such as human-AI collaboration, assistive robotics, and autonomous navigation. However, existing approaches often depend on predefined action spaces, annotated datasets, and extrinsic rewards, limiting their adaptability and scalability in dynamic, real-world scenarios. Inspired by cognitive theories of event perception and predictive coding, we p…

Recent hype is that o3 solved AI web search.
But so far I've tried using it for two "hard" search problems (meaning I first tried searching manually and didn't find much). Both times it hallucinated a ton, making claims that weren't actually in the sources.
On the other hand, both times, I did ultimately find nuggets of useful information after picking through all the hallucinations. So I'm glad I used it?
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Lipschitz regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals in Orlicz spaces
Pedro Fellype Pontes, Jo\~ao Vitor da Silva, Minbo Yang
https://arxiv.org/abs/2506.17616

Lipschitz regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals in Orlicz spaces
For a fixed constant $λ> 0$ and a bounded Lipschitz domain $Ω\subset \mathbb{R}^n$ with $n \geq 2$, we establish that almost-minimizers (functions satisfying a sort of variational inequality) of the Alt-Caffarelli type functional \[ \mathcal{J}_G({\bf v};Ω) \coloneqq \int_Ω\left(\sum_{i=1}^mG\big(|\nabla v_i(x)|\big) + λχ_{\{|{\bf v}|>0\}}(x)\right) dx , \] where ${\bf v} = (v_1, \dots, v_m)$ and $m \in \mathbb{N}$, exhibit optimal Lipschitz continuity on compact subse…

Structure of two-dimensional mod$(q)$ area-minimizing currents near flat singularities: the codimension one case
Anna Skorobogatova, Luca Spolaor, Salvatore Stuvard
https://arxiv.org/abs/2506.17813

Structure of two-dimensional mod$(q)$ area-minimizing currents near flat singularities: the codimension one case
We obtain a fine structural result for two-dimensional mod$(q)$ area-minimizing currents of codimension one, close to flat singularities. Precisely, we show that, locally around any such singularity, the current is a $C^{1,α}$-perturbation of the graph of a radially homogeneous special multiple-valued function that arises from a superposition of homogeneous harmonic polynomials. Additionally, as a preliminary step towards an analogous result in arbitrary codimension, we prove in general that t…

H\"older continuity of Minimizing $W^{s,p}$-Harmonic Maps
Akshara Vincent
https://arxiv.org/abs/2506.16442 https://arxiv.org/pdf…

Hölder continuity of Minimizing $W^{s,p}$-Harmonic Maps
We show that the mappings $u\in \dot{W}^{s,p}(\mathbb{R}^n,\mathcal{N})$ into manifolds $\mathcal{N}$ of a sufficiently simple topology that minimize the energy $$\int_{\mathbb{R}^n}\int_{\mathbb{R}^n}\frac{|u(x)-u(y)|^p}{|x-y|^{n+sp}} \;dx\;dy$$ are locally Hölder continuous in a bounded domain $Ω$ outside a singular set $Σ$ with Hausdorff dimension strictly smaller than $n-sp$. We avoid the use of a monotonicity formula (which is unknown if $p \neq 2$) by using a blow-u…