Tootfinder

Exact Poincar\'e Constants in three-dimensional Annuli
Bernd Rummler, Michael Ruzicka, Gudrun Th\"ater
https://arxiv.org/abs/2506.13891 https://…

Exact Poincaré Constants in three-dimensional Annuli
We study 3d-annuli. In our non-dimensional setting each annulus $Ω_{\cal A}$ is defined via two concentrical balls with radii ${\cal A}/2$ and ${\cal A}/2 +1$. For these geometries we provide the exact value for the Poincaré constants for scalar functions and calculate precise Poincaré constants for solenoidal vector fields (in both cases with vanishing Dirichlet traces on the boundary). For this we use the first eigenvalues of the scalar Laplacian and the Stokes operator, respectively. Addi…

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Functional second-order Gaussian Poincar\'e inequalities
Anna Vidotto, Guangqu Zheng
https://arxiv.org/abs/2506.13571 https://arx…

Functional second-order Gaussian Poincaré inequalities
In this paper, we work in the framework of Hilbert-valued Wiener structures and derive a functional version of the second-order Gaussian Poincaré inequality that leads to abstract bounds for Gaussian process approximation in $d_2$ distance. Our abstract bounds are flexible and can be applied in various examples including functional Breuer-Major central limit theorems, shallow neural networks, and spatial statistics of SPDEs solutions.

On Effective Banach-Mazur Games and an application to the Poincar\'e Recurrence Theorem for Category
Prajval Koul, Satyadev Nandakumar
https://arxiv.org/abs/2506.11118

On Effective Banach-Mazur Games and an application to the Poincaré Recurrence Theorem for Category
The classical Banach-Mazur game characterizes sets of first category in a topological space. In this work, we show that an effectivized version of the game yields a characterization of sets of effective first category. Using this, we give a proof for the effective Banach Category Theorem. Further, we provide a game-theoretic proof of an effective theorem in dynamical systems, namely the category version of Poincaré Recurrence. The Poincaré Recurrence Theorem for category states that for a hom…

Improved sampling algorithms and Poincar\'e inequalities for non-log-concave distributions
Yuchen He, Zhehan Lei, Jianan Shao, Chihao Zhang
https://arxiv.org/abs/2507.11236

Improved sampling algorithms and Poincaré inequalities for non-log-concave distributions
We study the problem of sampling from a distribution $μ$ with density $\propto e^{-V}$ for some potential function $V:\mathbb R^d\to \mathbb R$ with query access to $V$ and $\nabla V$. We start with the following standard assumptions: (1) The potential function $V$ is $L$-smooth. (2) The second moment $\mathbf{E}_{X\sim μ}[\|X\|^2]\leq M$. Recently, He and Zhang (COLT'25) showed that the query complexity of sampling from such distributions is at least $\left(\frac{LM}{dε}\rig…

Panchromatic characterization of the Y0 brown dwarf WISEP J173835.52 273258.9 using JWST/MIRI
Malavika Vasist, Paul Molli\`re, Helena K\"uhnle, Olivier Absil, Gilles Louppe, Rens Waters, Manuel G\"udel, Thomas Henning, David Barrado, Leen Decin, John Pye, Pascal Tremblin
https://arxiv.org/abs/2507.12264

Panchromatic characterization of the Y0 brown dwarf WISEP J173835.52+273258.9 using JWST/MIRI
Cold brown dwarf atmospheres are good training grounds for analyzing temperate giant planets. WISEP J173835.52+273258.9 (WISE 1738) is an isolated Y0 brown dwarf with a temperature between 350-400 K, at the T-Y transition. While its near-infrared spectrum has been studied, bulk properties and chemistry remain uncertain. We analyze new JWST MIRI medium-resolution spectra (5-18 micron), combined with near-infrared spectra (0.98-2.2 micron) from HST/WFC3 and Gemini/GNIRS, to better constrain WISE …

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Pianist Benjamin Grosvenor joins the RNS for Bacewicz’s Pensieri notturni, Shostakovich’s First Piano Concerto and Tchaikovsky’s Fourth Symphony. Dinis Sousa conducts.
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Ui, @… spielen im September in Berlin. Im Schokoladen
#berlin #punk #punkrock…

MÄNNI - Die fröhliche Tour
MÄNNI endlich mal wieder in Berlin auf eigener Tour: Diesen September geht MÄNNI [https://mnni.de] erstmals auf eigene Headlinertour. Passend zur letzten Veröffentlichung „Das fröhliche Album“ (Dackelton Records) wird es unter dem Motto „Die fröhliche Tour“ neun Konzerte in ganz Deutschland geben. Wie gewohnt mit rauer Stimme, manchmal tiefgründig, oft politisch wird hier deutschsprachiger Punkrock mit viel Melancholie und Witz geboten. Neben den alten Hits wie „Ibuprofi“, â…

El tema de Torre Pacheco me recuerda lo extraño que me parece que la gente se sienta orgullosa de que un compatriota gane una medalla o premio. Pensar que "que buenos somos los españoles" por lo que ha hecho alguien que no eres tú. Y lo extraño es no pensar que cuando un español hace algo malo no pensemos "que malos somos los españoles" #TorrePacheco

LocationReasoner: Evaluating LLMs on Real-World Site Selection Reasoning
Miho Koda, Yu Zheng, Ruixian Ma, Mingyang Sun, Devesh Pansare, Fabio Duarte, Paolo Santi
https://arxiv.org/abs/2506.13841

LocationReasoner: Evaluating LLMs on Real-World Site Selection Reasoning
Recent advances in large language models (LLMs), particularly those enhanced through reinforced post-training, have demonstrated impressive reasoning capabilities, as exemplified by models such as OpenAI o1 and DeepSeek-R1. However, these capabilities are predominantly benchmarked on domains like mathematical problem solving and code generation -- leaving open the question of whether such reasoning skills generalize to complex, real-world scenarios. In this paper, we introduce LocationReasoner,…