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@arXiv_mathGR_bot@mastoxiv.page
2025-06-10 17:09:39

This arxiv.org/abs/1908.10505 has been replaced.
link: scholar.google.com/scholar?q=a

Spectral properties of graphs associated to the Basilica group
We provide the foundation of the spectral analysis of the Laplacian on the orbital Schreier graphs of the Basilica group, the iterated monodromy group of the quadratic polynomial $z^2-1$. This group is an important example in the class of self-similar amenable but not elementary amenable finite automata groups studied by Grigorchuk, Żuk, \v Sunić, Bartholdi, Virág, Nekrashevych, Kaimanovich, Nagnibeda et al. We prove that the spectrum of the Laplacian has infinitely many gaps and that the su…

@leftsidestory@mstdn.social
2025-06-02 00:30:03

Natura Urbana VIII 🏡
城市自然 VIII 🏡
📷 Nikon FE
🎞️Ilford FP4 Plus, expired 1995
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Ilford FP4 @ ISO 64 **English:** This black and white photograph captures a serene park scene. In the foreground, there is a body of water bordered by tall grasses and reeds. A winding path meanders through the park, lined with trees on either side. In the distance, a person can be seen along the path. The background features a faint outline of buildings, suggesting the park is located within an urban area. **Chinese:** 这张黑白照片展现了一个宁静的公园场景。前景是一片被高高的草和芦苇环绕的水域。一条蜿蜒的小路穿过公园，两旁种满了树木。远处，可以看到一个人正沿着小路…
Ilford FP4 @ ISO 64 **English:** This black and white image depicts a tranquil park setting with a couple sitting on a bench in the foreground. The park is lush with trees and greenery, and a small bridge can be seen in the background. The scene is peaceful, with the couple seemingly enjoying the natural surroundings. The pathway and the bridge add to the charm of the park. **Chinese:** 这张黑白照片描绘了一个宁静的公园场景，前景中一对情侣坐在长椅上。公园里绿树成荫，植被茂盛，背景中可以看到一座小桥。场景宁静祥和，这对情侣似乎在享受周围的自然环境。小路和桥梁为公园增添了魅力。
Ilford FP4 @ ISO 64 **English:** This black and white photograph shows a warning sign in a park. The sign, written in both Chinese and English, reads "No Sitting, Caution Danger." The sign is placed near a water body, with rocks and trees in the background. The area appears to be a natural setting within an urban environment, as suggested by the buildings visible in the distance. **Chinese:** 这张黑白照片展示了公园里的一块警示牌。警示牌上用中文和英文写着“禁止坐卧，危险警告”。警示牌位于水域附近，背景中有岩石和树木。从远处可见的建筑物来看，该地区似乎是城市环境中的一个自然区域。
Ilford FP4 @ ISO 64 **English:** This black and white image captures a close-up view of a tree trunk that has been wrapped with rope. The tree is surrounded by dense foliage and appears to be in a natural setting. The rope is coiled around the trunk, possibly for support or protection. The background is filled with various plants and leaves, creating a lush and verdant atmosphere. **Chinese:** 这张黑白照片近距离展示了一棵被绳子缠绕的树干。这棵树被茂密的树叶包围，似乎位于一个自然环境中。绳子缠绕在树干上，可能是为了支撑或保护树木。背景中充满了各种植物和树叶，营造出一种郁郁葱葱的氛围。

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@arXiv_eessSY_bot@mastoxiv.page
2025-06-09 08:21:12

Applying XAI based unsupervised knowledge discovering for Operation modes in a WWTP. A real case: AQUAVALL WWTP
Alicia Beneyto-Rodriguez, Gregorio I. Sainz-Palmero, Marta Galende-Hern\'andez, Mar\'ia J. Fuente, Jos\'e M. Cuenca
arxiv.org/abs/2506.05958

Applying XAI based unsupervised knowledge discovering for Operation modes in a WWTP. A real case: AQUAVALL WWTP
Water reuse is a key point when fresh water is a commodity in ever greater demand, but which is also becoming ever more available. Furthermore, the return of clean water to its natural environment is also mandatory. Therefore, wastewater treatment plants (WWTPs) are essential in any policy focused on these serious challenges. WWTPs are complex facilities which need to operate at their best to achieve their goals. Nowadays, they are largely monitored, generating large databases of historical d…

@arXiv_mathAC_bot@mastoxiv.page
2025-06-10 08:02:52

A decisive Theorem (Un th\'eor\`eme d\'ecisif)
Henri Lombardi
arxiv.org/abs/2506.07098 arxiv.org/pdf/2506.070…

A decisive Theorem (Un théorème décisif)
We give an elementary proof of the theorem which states that a finite unramified algebra over a discrete field is tracically étale. -- Nous donnons une démonstration élémentaire du théorème selon lequel toute algèbre nette sur un cors discret est étale, de dimension finie comme espace vectoriel et traciquement étale.

@arXiv_astrophIM_bot@mastoxiv.page
2025-06-04 07:43:02

Prediction of the SVOM MXT camera end of life spectral performance based onproton irradiation results
Clara Plasse, Diego G\"otz, Aline Meuris, Miguel Fernandez Moita, Philippe Ferrando, Leo Favier, Francesco Ceraudo
#toXiv_bot_toot

@arXiv_qfinGN_bot@mastoxiv.page
2025-05-19 07:38:03

Hybrid Monetary Ecosystems: Integrating Stablecoins and Fiat in the Future of Currency Systems
Hongzhe Wen, Songbai Li
arxiv.org/abs/2505.10997

Hybrid Monetary Ecosystems: Integrating Stablecoins and Fiat in the Future of Currency Systems
With market capitalization exceeding USD 200 billion as of early 2025, stablecoins have evolved from a crypto-focused innovation into a vital component of the global monetary structure. This paper identifies the characteristics of stablecoins from an analytical perspective and investigates the role of stablecoins in forming hybrid monetary ecosystems where public (fiat, CBDC) and private (USDC, USDT, DAI) monies coexist. Through econometric analysis with multiple models, we find that stablecoin…