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Physics Preprint PDF DOI

Revisiting the mixing length scaling in pressure-gradient turbulent boundary layers via a symmetry approach

Weitao Bi · 2026

A century after Prandtl's mixing length hypothesis, full-profile scaling of the mixing length in pressure-gradient turbulent boundary layers (PG TBLs) remains debated, especially for adverse pressure …

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Physics Preprint PDF DOI

Quantitative Evaluation of Forward and Backward Scattering in Isotropic Turbulence via H\"anggi--Klimontovich and It\^o Stochastic Processes

Nicola de Divitiis · 2026

This work evaluates the magnitude of the turbulent energy cascade in terms of forward and backward scattering by modeling the "stretch and fold" mechanism through a drift-free Hanggi-Klimontovich stoc…

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AI & Data Science Preprint PDF DOI

Spectral Embeddings Leak Graph Topology: Theory, Benchmark, and Adaptive Reconstruction

Thinh Nguyen-Cong, Truong-Son Hy, Thang N. Dinh · 2026

Graph Neural Networks (GNNs) excel on relational data, but standard benchmarks unrealistically assume the graph is centrally available. In practice, settings such as Federated Graph Learning, distribu…

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Physics Preprint PDF DOI

Vortex structures in electron-positron pair production by two-colored fields

Adiljan Sawut, Ying-Jun Li, Hong-Hao Fan, Bai-Song Xie · 2026

We investigate the spin resolved vortex properties of electron positron pairs created from vacuum in time delayed, two color electromagnetic fields. By treating the temporal delay G as a continuous tu…

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Physics Preprint PDF DOI

Emulator-Assisted Nuclear DFT Inference and Its Consequences for the Structure of Neutron Stars

Pietro Klausner, Marco Antonelli, Gianluca Colo, Francesca Gulminelli, Xavier Roca-Maza, Enrico Vigezzi · 2026

Nuclear density functional theory provides a unified description of finite nuclei and bulk nuclear matter, and is widely used to model the neutron star equation of state. However, extrapolations to su…

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AI & Data Science Preprint PDF DOI

RUMLEM: A Dictionary-Based Lemmatizer for Romansh

Dominic P. Fischer, Zachary Hopton, Jannis Vamvas · 2026

Lemmatization -- the task of mapping an inflected word form to its dictionary form -- is a crucial component of many NLP applications. In this paper, we present RUMLEM, a lemmatizer that covers the fi…

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AI & Data Science Preprint PDF DOI

Toward Unified Fine-Grained Vehicle Classification and Automatic License Plate Recognition

Gabriel E. Lima, Valfride Nascimento, Eduardo Santos, Eduil Nascimento Jr, Rayson Laroca, David Menotti · 2026

Extracting vehicle information from surveillance images is essential for intelligent transportation systems, enabling applications such as traffic monitoring and criminal investigations. While Automat…

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AI & Data Science Preprint PDF DOI

DeonticBench: A Benchmark for Reasoning over Rules

Guangyao Dou, Luis Brena, Akhil Deo, William Jurayj, Jingyu Zhang, Nils Holzenberger, Benjamin Van Durme · 2026

Reasoning with complex, context-specific rules remains challenging for large language models (LLMs). In legal and policy settings, this manifests as deontic reasoning: reasoning about obligations, per…

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Physics Preprint PDF DOI

Optimization-Based Discovery of A Non-Attracting Flow State in An Oscillating-Cylinder Wake

Daiwei Dong, Wenbo Cao, Wei Suo, Jiaqing Kou, Weiwei Zhang · 2026

In the flow past a stationary circular cylinder, the classical Karman vortex street arises from a Hopf bifurcation of the steady flow at the critical Reynolds number. Although this solution becomes dy…

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AI & Data Science Preprint PDF DOI

The Spectral Edge Thesis: A Mathematical Framework for Intra-Signal Phase Transitions in Neural Network Training

Yongzhong Xu · 2026

We develop the spectral edge thesis: phase transitions in neural network training -- grokking, capability gains, loss plateaus -- are controlled by the spectral gap of the rolling-window Gram matrix o…

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Mathematics Preprint PDF DOI

A spherical flatness index and a stability inequality for harmonic pseudospheres

Andrea Buffoni, Giovanni Cupini, Ermanno Lanconelli · 2026

We introduce a new flatness index for the boundary of an open subset $\Omega$ of $\mathbb{R}^n$, $n\ge 2$. This index provides a necessary condition for $\partial\Omega$ to be a harmonic pseudosphere …

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Physics Preprint PDF DOI

Direct numerical simulation of out-scale-actuated spanwise wall oscillation in turbulent boundary layers

Jizhong Zhang, Fazle Hussain, Jie Yao · 2026

Spanwise wall oscillation (SWO) of turbulent boundary layers (TBLs) is investigated via direct numerical simulations over an extended actuation region with oscillation periods up to T_{sc}^+=600, scal…

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Mathematics Preprint PDF DOI

Dynamics of Kahan-Hirota-Kimura maps with rational invariant fibrations

Victor Manosa, Chara Pantazi · 2026

We present a simple method to study the dynamics of planar Kahan-Hirota-Kimura (KHK) maps preserving rational fibrations. Using this approach, we show that integrable KHK maps may exhibit complex dyna…

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Engineering Preprint PDF DOI

A coupled Aeroelastic-Flight Dynamic Framework for Free-Flying Flexible Aircraft with Gust Interactions

Nikolaos D. Tantaroudas, Ilias Karachalios · 2026

A complete, self-contained mathematical framework for modelling the coupled aeroelastic and flight dynamic behaviour of free-flying flexible aircraft subject to atmospheric gust encounters is presente…

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Mathematics Preprint PDF DOI

Eigenvalue stability and new perturbation bounds for the extremal eigenvalues of a matrix

Phuc Tran, Van Vu · 2026

Let $A$ be a full ranked $ n\times n$ matrix, with singular values $\sigma_1 (A) \ge \dots \ge \sigma_n (A) >0$. The condition number $\kappa(A):= \sigma_1(A)/\sigma_n(A)=\|A\|\cdot \|A\|^{-1}$ is a k…

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Physics Preprint PDF DOI

On-chip Parametric Amplification in a Double Quantum Dots Circuit

Yong-Qiang Xu, Rui Wu, Si-Si Gu, Shun-Li Jiang, Shu-Kun Ye, Bao-Chuan Wang, Hai-Ou Li, Guang-Can Guo, Chang-Ling Zou, Gang Cao, Guo-Ping Guo · 2026

In microwave-based quantum circuits, including double quantum dots (DQDs), superconducting qubits and spin qubits, parametric amplifiers are indispensable in achieving high-fidelity qubit readouts. De…

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Engineering Preprint PDF DOI

Model Reference Adaptive Control For Gust Load Allevation of Nonlinear Aeroelastic

Nikolaos D. Tantaroudas, Guanqun Gai, Ilias Karachalios · 2026

Model Reference Adaptive Control based on Lyapunov stability theory is developed for gust load alleviation of nonlinear aeroelastic systems. The controller operates on a nonlinear reduced-order model …

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AI & Data Science Preprint PDF DOI

Robust Language Identification for Romansh Varieties

Charlotte Model, Sina Ahmadi, Jannis Vamvas · 2026

The Romansh language has several regional varieties, called idioms, which sometimes have limited mutual intelligibility. Despite this linguistic diversity, there has been a lack of documented efforts …

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AI & Data Science Preprint PDF DOI

Deep Learning From Routine Histology Improves Risk Stratification for Biochemical Recurrence in Prostate Cancer

Clement Grisi, Khrystyna Faryna, Nefise Uysal, Vittorio Agosti, Enrico Munari, Solene-Florence Kammerer-Jacquet, Paulo Guilherme de Oliveira Salles, Yuri Tolkach, Reinhard Buttner, Sofiya Semko, Maksym Pikul, Axel Heidenreich, Jeroen van der Laak, Geert Litjens · 2026

Accurate prediction of biochemical recurrence (BCR) after radical prostatectomy is critical for guiding adjuvant treatment and surveillance decisions in prostate cancer. However, existing clinicopatho…

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Physics Preprint PDF DOI

How well known is the compressibility of nuclear matter?

J. Margueron, E. Khan · 2026

The most accurate approach to determine the compressibility of nuclear matter remains the one based on microscopic Energy Density Functionals (EDFs). Recent analyses yield a value for nuclear incompre…

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