Tootfinder

Donald Trump’s economy went charging off a cliff
after his April 2 “Liberation Day” tariffs, which
—despite endless tweaks, revisions, abrupt extensions, and equally abrupt reversals
—are gradually settling into a new status quo
in which the costs of global trade are far higher than before.
But we’re just starting to feel the true impact of that status quo.
-- Because until recently, a series of ameliorating factors have kept things looking artificially norm…

Trump’s Tariff Pain Is Knocking at Your Door
The stopgap measures that have so far protected consumers from feeling the effects of tariffs are nearly at an end.

The 3D index and Dehn filling
Daniele Celoria, Craig D. Hodgson, J. Hyam Rubinstein
https://arxiv.org/abs/2509.09886 https://arxiv.org/pdf/2509.09886

The 3D index and Dehn filling
We provide a rigorous proof of the Gang-Yonekura formula describing the transformation of the 3D index under Dehn filling a cusp in an orientable 3-manifold. The 3D index, originally introduced by Dimofte, Gaiotto and Gukov, is a physically inspired q-series that encodes deep topological and geometric information about cusped 3-manifolds. Building on the interpretation of the 3D index as a generating function over Q-normal surfaces, we introduce a relative version of the index for ideal triangu…

Electronic localization on the structural inhomogeneities formed due to Bi and Te deficiency in the MBE grown films of AFM topological insulator MnBi2Te4: Evidence from spectroscopic ellipsometry and infrared studies
N. N. Kovaleva, D. Chvostova, T. N. Fursova, A. V. Muratov, S. I. Bozhko, Yu. A. Aleshchenko, A. Dejneka, D. V. Ishchenko, O. E. Tereshchenko, K. I. Kugel

Electronic localization on the structural inhomogeneities formed due to Bi and Te deficiency in the MBE grown films of AFM topological insulator MnBi2Te4: Evidence from spectroscopic ellipsometry and infrared studies
The intrinsic substitutional and antisite defects cause unintentional doping and shift of the E_F position above the conduction band minimum in the AFM topological insulator (TI) MnBi2Te4. This prevents measurements of the quantum anomalous Hall effect (QAH) and investigation of the topological Dirac states. In the present study, the Mn-Bi-Te films grown by the MBE technique onto Si(111) substrates with decreasing Bi and Te contents and increasing Mn content were investigated by 0.5-6.5 eV spec…

Phase space analysis of an exponential model in $f(Q)$ gravity including linear dark-sector interactions
Ivan R. Vasquez, A. Oliveros
https://arxiv.org/abs/2510.12020 https://…

Phase space analysis of an exponential model in $f(Q)$ gravity including linear dark-sector interactions
We present a cosmological analysis of an exponential $f(Q)$ gravity model, within the dynamical systems formalism. Following the method introduced by Böhmer \textit{et al} [Universe \textbf{9} no.4, 166 (2023)], the modified Friedmann modified equations are successfully reduced to an autonomous system. Given the exponential form of $f(Q)$, the equilibrium conditions result in transcendental equations, which we approximate to identify the critical points. We therefore perform a general stabilit…

Embodied Navigation Foundation Model
Jiazhao Zhang, Anqi Li, Yunpeng Qi, Minghan Li, Jiahang Liu, Shaoan Wang, Haoran Liu, Gengze Zhou, Yuze Wu, Xingxing Li, Yuxin Fan, Wenjun Li, Zhibo Chen, Fei Gao, Qi Wu, Zhizheng Zhang, He Wang
https://arxiv.org/abs/2509.12129

Embodied Navigation Foundation Model
Navigation is a fundamental capability in embodied AI, representing the intelligence required to perceive and interact within physical environments following language instructions. Despite significant progress in large Vision-Language Models (VLMs), which exhibit remarkable zero-shot performance on general vision-language tasks, their generalization ability in embodied navigation remains largely confined to narrow task settings and embodiment-specific architectures. In this work, we introduce a…

A study of ferronematic thin films including a stray field energy
Shilpa Dutta, James Dalby, Apala Majumdar, Anja Schl\"omerkemper
https://arxiv.org/abs/2509.10442 https://…

A study of ferronematic thin films including a stray field energy
Ferronematic materials are colloidal suspensions of magnetic particles in liquid crystals. They are complex materials with potential applications in display technologies, sensors, microfluidics devices, etc. We consider a model for ferronematics in a 2D domain with a variational approach. The proposed free energy of the ferronematic system depends on the Landau-de Gennes (LdG) order parameter $\mathbf{Q}$ and the magnetization $\mathbf{M}$, and incorporates the complex interaction between the l…

On irreducibility of certain low dimensional automorphic Galois representations
Boyi Dai
https://arxiv.org/abs/2510.12496 https://arxiv.org/pdf/2510.12496

On irreducibility of certain low dimensional automorphic Galois representations
We study irreducibility of Galois representations $ρ_{π,λ}$ associated to a $n=7$ or 8-dimensional regular algebraic essentially self-dual cuspidal automorphic representation $π$ of $\text{GL}_n(\mathbb{A}_\mathbb{Q})$. We show $ρ_{π,λ}$ is irreducible for all but finitely many $λ$ under the following extra conditions. (i) If $n=7$, and there exists no $λ$ such that the Lie type of $ρ_{π,λ}$ is the standard representation of exceptional group $\textbf{G}_2$. (ii) If $n=8$, and when …

VStyle: A Benchmark for Voice Style Adaptation with Spoken Instructions
Jun Zhan, Mingyang Han, Yuxuan Xie, Chen Wang, Dong Zhang, Kexin Huang, Haoxiang Shi, DongXiao Wang, Tengtao Song, Qinyuan Cheng, Shimin Li, Jun Song, Xipeng Qiu, Bo Zheng
https://arxiv.org/abs/2509.09716

VStyle: A Benchmark for Voice Style Adaptation with Spoken Instructions
Spoken language models (SLMs) have emerged as a unified paradigm for speech understanding and generation, enabling natural human machine interaction. However, while most progress has focused on semantic accuracy and instruction following, the ability of SLMs to adapt their speaking style based on spoken instructions has received limited attention. We introduce Voice Style Adaptation (VSA), a new task that examines whether SLMs can modify their speaking style, such as timbre, prosody, or persona…

FinGEAR: Financial Mapping-Guided Enhanced Answer Retrieval
Ying Li, Mengyu Wang, Miguel de Carvalho, Sotirios Sabanis, Tiejun Ma
https://arxiv.org/abs/2509.12042 https://

FinGEAR: Financial Mapping-Guided Enhanced Answer Retrieval
Financial disclosures such as 10-K filings present challenging retrieval problems due to their length, regulatory section hierarchy, and domain-specific language, which standard retrieval-augmented generation (RAG) models underuse. We introduce FinGEAR (Financial Mapping-Guided Enhanced Answer Retrieval), a retrieval framework tailored to financial documents. FinGEAR combines a finance lexicon for Item-level guidance (FLAM), dual hierarchical indices for within-Item search (Summary Tree and Que…

Construction of solutions for a critical elliptic system of Hamiltonian type
Congzheng Xuanyuan, Tingfeng Yuan, Yuxia Guo
https://arxiv.org/abs/2509.11251 https://

Construction of solutions for a critical elliptic system of Hamiltonian type
We consider the following nonlinear elliptic system of Hamiltonian type with critical exponents: \begin{equation*}\left\{\begin{align*} -Δu + V(|y'|,y'') u = v^p, \;\; \text{in} \;\; \mathbb{R}^N,\\ -Δv + V(|y'|,y'') v = u^q, \;\; \text{in} \;\; \mathbb{R}^N,\\ u, v > 0 , (u,v) \in (\dot{W}^{2,\frac{p+1}{p}} (\mathbb{R}^N) \cap L^2(\mathbb{R}^N)) \times (\dot{W}^{2,\frac{q+1}{q}} (\mathbb{R}^N) \cap L^2(\mathbb{R}^N)) ,\end{align*}\right. \end{equation*} where $(y', …