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Time-Dilation Methods for Extreme Multiscale Timestepping Problems
Philip F. Hopkins, Elias R. Most
https://arxiv.org/abs/2510.09756 https://arxiv.org/pdf/…

Time-Dilation Methods for Extreme Multiscale Timestepping Problems
Many astrophysical simulations involve extreme dynamic range of timescales around 'special points' in the domain (e.g. black holes, stars, planets, disks, galaxies, shocks, mixing interfaces), where processes on small scales couple strongly to those on large scales. Adaptive resolution, multi-physics, and hybrid numerical methods have enabled tremendous progress on the spatial, physics, and numerical challenges involved. But often the limiter for following the long timescales of global evolutio…

The Senate on Thursday night approved its $925 billion version of the
National Defense Authorization Act,
the annual must-pass Pentagon policy blueprint,
setting up what is expected to be a lengthy negotiation with the House to finalize the bill.

The legislation, deadlocked for weeks over various partisan disagreements,
advanced by a margin of 77 to 20 following amendment votes earlier in the evening.

Senate and House staff will next reconcile their bills…

Senate passes $925 billion defense bill, setting up House talks
Staff from both chambers must now negotiate final, compromise legislation ahead of a vote expected later this fall.

OpenJAI-v1.0: An Open Thai Large Language Model
Pontakorn Trakuekul, Attapol T. Rutherford, Jullajak Karnjanaekarin, Narongkorn Panitsrisit, Sumana Sumanakul
https://arxiv.org/abs/2510.06847

OpenJAI-v1.0: An Open Thai Large Language Model
We introduce OpenJAI-v1.0, an open-source large language model for Thai and English, developed from the Qwen3-14B model. Our work focuses on boosting performance on practical tasks through carefully curated data across three key use cases: instruction following, long-context understanding, and tool use. Evaluation results show that OpenJAI-v1.0 improves on the capabilities of its base model and outperforms other leading open-source Thai models on a diverse suite of benchmarks, while avoiding ca…

Detected Seifert surfaces and intervals of left-orderable surgeries
Yi Wang
https://arxiv.org/abs/2509.08127 https://arxiv.org/pdf/2509.08127

Detected Seifert surfaces and intervals of left-orderable surgeries
Motivated by the $L$-space conjecture, we prove left-orderability of certain Dehn fillings on integral homology solid tori with techniques first appearing in the work of Culler-Dunfield. First, we use the author's previous results to construct arcs of representations originating at ideal points detecting Seifert surfaces inside certain 3-manifolds. This, combined with the holonomy extension locus techniques of Gao, proves that Dehn fillings near 0 of such 3-manifolds are left-orderable. We then…

Additive Approximation Schemes for Low-Dimensional Embeddings
Prashanti Anderson, Ainesh Bakshi, Samuel B. Hopkins
https://arxiv.org/abs/2509.09652 https://

Additive Approximation Schemes for Low-Dimensional Embeddings
We consider the task of fitting low-dimensional embeddings to high-dimensional data. In particular, we study the $k$-Euclidean Metric Violation problem ($\textsf{$k$-EMV}$), where the input is $D \in \mathbb{R}^{\binom{n}{2}}_{\geq 0}$ and the goal is to find the closest vector $X \in \mathbb{M}_{k}$, where $\mathbb{M}_k \subset \mathbb{R}^{\binom{n}{2}}_{\geq 0}$ is the set of all $k$-dimensional Euclidean metrics on $n$ points, and closeness is formulated as the following optimization problem…

Quaternionic families of Heegner points and $p$-adic $L$-functions
Matteo Longo, Paola Magrone, Eduardo Rocha Walchek
https://arxiv.org/abs/2510.04306 https://

Quaternionic families of Heegner points and $p$-adic $L$-functions
Following up a previous article of the authors which studies the interpolation of certain anticyclotomic $p$-adic $L$-functions associated to quaternionic modular forms in a Hida family, we extend the work of F. Castella on the interpolation and specialization of big Heegner points to the quaternionic setting. We prove an explicit reciprocity law relating the big $p$-adic $L$-function to the big Heegner points in this quaternionic setting.

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在路上 - 去西安/城市坟茔 🪦
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OBJVanish: Physically Realizable Text-to-3D Adv. Generation of LiDAR-Invisible Objects
Bing Li, Wuqi Wang, Yanan Zhang, Jingzheng Li, Haigen Min, Wei Feng, Xingyu Zhao, Jie Zhang, Qing Guo
https://arxiv.org/abs/2510.06952

OBJVanish: Physically Realizable Text-to-3D Adv. Generation of LiDAR-Invisible Objects
LiDAR-based 3D object detectors are fundamental to autonomous driving, where failing to detect objects poses severe safety risks. Developing effective 3D adversarial attacks is essential for thoroughly testing these detection systems and exposing their vulnerabilities before real-world deployment. However, existing adversarial attacks that add optimized perturbations to 3D points have two critical limitations: they rarely cause complete object disappearance and prove difficult to implement in p…

Construction of Exceptional Points in Time-Modulated High-Contrast Elastic Media
Yixian Gao, Shuguan Ji, Shangling Song
https://arxiv.org/abs/2509.05561 https://

Construction of Exceptional Points in Time-Modulated High-Contrast Elastic Media
Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in $d$-dimensional space ($d\geq 2$), exhibit a rich spectrum of physical phenomena. This paper investigates such a model and presents the following contributions. First, we analyze the system's subwavelength quasi-frequencies under static conditions, establishing their functional dependence on the high-contrast parameter. This analysis enables the determination of the subwavelength quasi-frequency range. …

Maximal Subsemigroups of Infinite Symmetric Inverse Monoids
M. Hampenberg, Y. P\'eresse
https://arxiv.org/abs/2509.08468 https://arxiv.org/pdf/2509.084…

Maximal Subsemigroups of Infinite Symmetric Inverse Monoids
The symmetric inverse monoid $I_X$ on a set $X$ consists of all bijective functions whose domain and range are subsets of $X$ under the usual composition and inversion of partial functions. For an arbitrary infinite set $X$, we classify all maximal subsemigroups and maximal inverse subsemigroups of $I_X$ which contain the symmetric group Sym($X$) or any of the following subgroups of Sym($X$): the pointwise stabiliser of a finite subset of $X$, the stabiliser of an ultrafilter on $X$, or the sta…