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Physics Preprint PDF DOI

Chemical Taxonomy of $\omega$~Centauri: Ten Populations Reveal a Multi-Phase Enrichment History

Furkan Akbaba, Olcay Plevne, Timur Sahin, Sena Aleyna Senturk · 2026

$\omega$~Centauri, the most massive globular cluster in the Milky Way, exhibits a level of stellar population complexity that has long resisted a unified chemical characterisation. We exploit high-res…

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AI & Data Science Preprint PDF DOI

An adaptive wavelet-based PINN for problems with localized high-magnitude source

Himanshu Pandey, Ratikanta Behera · 2026

In recent years, physics-informed neural networks (PINNs) have gained significant attention for solving differential equations, although they suffer from two fundamental limitations, namely, spectral …

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Computer Science Preprint PDF DOI

NeuroRing: Scaling Spiking Neural Networks via Multi-FPGA Bidirectional Ring Topologies and Stream-Dataflow Architectures

Muhammad Ihsan Al Hafiz, Artur Podobas · 2026

Spiking neural networks (SNNs) are a promising paradigm for energy-efficient event-driven computation, but large-scale SNN execution remains challenging because sparse spike communication and synchron…

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Mathematics Preprint PDF DOI

Fixed-point-free automorphisms of solvable Lie algebras

Dietrich Burde, Karel Dekimpe · 2026

In this paper, we investigate the existence of fixed-point-free automorphisms for finite-dimensional Lie algebras. By a result of Jacobson, a Lie algebra admitting a fixed-point-free automorphism is s…

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Physics Preprint PDF DOI

Shift of the maxima of the critical currents of different polarity relative to the zero magnetic flux along the flux axis in a superconducting asymmetric aluminum ring

V. I. Kuznetsov, O. V. Trofimov · 2026

We measured the rectification of an ac voltage in a structure of superconducting circularly-asymmetric aluminum rings in series, permeated with a magnetic flux and biased with a low-frequency alternat…

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Mathematics Preprint PDF DOI

A Ring structure on the Class of Combinatorial Games

Harry Altman, Paolo Lipparini · 2026

J. Conway defined useful operations on the Class of combinatorial games and also introduced a notion of equivalence between games. Conway showed that, under his equivalence, games form a Group. Howeve…

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Engineering Preprint PDF DOI

On the Nesterov's acceleration: A NAIM perspective

Rachit Mehra, M Parimi, Amol Yerudkar, S.R. Wagh, Navdeep Singh · 2026

We present a unifying Nearly Asymptotically Invariant Manifold (NAIM) framework for understanding Nesterovs Accelerated Gradient (NAG) method. By lifting the first-order gradient flow into a second-or…

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Mathematics Preprint PDF DOI

G\r{a}rding Polynomials

Hao Fang, Biao Ma · 2026

We introduce G\r{a}rding polynomials, a class of real multivariate polynomials defined via positivity regions invariant under translation by positive directions and closed under strictly positive affi…

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Physics Preprint PDF DOI

Universal Nano-Bead Emitter Inks for Programmable Nanometric Fluorescent Architectures

Ilya Olevsko, Maria Shehadeh, Dmytro Ohorodniichuk, Leonid Weisman, Rotem Golan, Martin Oheim, Gerardo Byk, Adi Salomon · 2026

Fabricating brightly fluorescent layers with nanometric thickness and digitally controlled lateral structuration remains a challenge for next-generation photonic devices, optical calibration standards…

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Physics Preprint PDF DOI

Probing dust properties through polarized scattered-light images of a sample of ring-shaped protoplanetary disks

Maxime Roumesy, Francois Menard, Gaspard Duchene, Ryo Tazaki, Christian Ginski · 2026

The evolution of protoplanetary disks, especially in the early stages of planetary formation, as dust grows, is the cornerstone of the birth of planets. The mechanisms involved in the growth of sub-mi…

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Mathematics Preprint PDF DOI

A Systematic Review of Recent Advancements in PINN Augmented Deep Learning and Mathematical Modeling for Efficient Portfolio Management

Bahadur Yadav, Sanjay Kumar Mohanty · 2026

In finance, portfolio management is a traditional yet difficult problem that has drawn attention from practitioners and researchers for many years. However, there are still difficult technological pro…

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Mathematics Preprint PDF DOI

Lie bialgebras constructed from Zinbiel bialgebras and Leibniz bialgebras

Bo Hou, Yuanchang Lin · 2026

There is a Lie algebra structure on the tensor product of a Leibniz algebra and a Zinbiel algebra for the operads of Leibniz algebras and Zinbiel algebras are Koszul dual. In this paper, we extend suc…

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Mathematics Preprint PDF DOI

Quantitative homogenization of the maximal action of curves in a Brownian potential

Felix Otto, Matteo Palmieri · 2026

Motivated by an optimal-matching problem (Leighton-Shor) and the random-field Ising model (Aizenman-Wehr, Ding-Wirth), we consider a variational problem for graphs in $1+1$ dimension maximizing an act…

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Physics Preprint PDF DOI

Phase-Space Contractions of Carrollian Black-Hole Thermodynamics

Yingnan Xu, Shuangshuang Chu · 2026

We study Carrollian limits of Schwarzschild-AdS black-hole thermodynamics using covariant phase space. Allowing the cosmological constant to vary, we derive the extended Iyer-Wald identity and identif…

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Mathematics Preprint PDF DOI

Simple Lie Groups of type An as Galois groups over Q

Stepan Nesterov · 2026

In this paper, we utilize our previous results on mod p monodromy of cyclic coverings of the projective line to realize a large series of groups of the form PSL(n, q) and PSU(n, q) as Galois groups ov…

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Computer Science Preprint PDF DOI

Cross-lingual Comparison of Research Funding Projects with Multilingual Sentence-BERT: Evidence from KAKENHI, NIH, NSF, and UKRI

Miki Kimura-Ida · 2026

Cross-national comparison of research funding projects is increasingly important for science policy and strategic planning, but language differences remain a major obstacle. In particular, KAKENHI pro…

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AI & Data Science Preprint PDF DOI

PINN-Cast: Exploring the Role of Continuous-Depth NODE in Transformers and Physics Informed Loss as Soft Physical Constraints in Short-term Weather Forecasting

Hira Saleem, Flora Salim, Cormac Purcell · 2026

Operational weather prediction has long relied on physics-based numerical weather prediction (NWP), whose accuracy comes at the cost of substantial compute and complex simulation workflows. Recent tra…

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AI & Data Science Preprint PDF DOI

Predicting Covariate-Driven Spatial Deformation for Nonstationary Gaussian Processes

Minghao Gu, Weizhi Lin, Qiang Huang · 2026

Nonstationary Gaussian processes (GPs) are essential for modeling complex, locally heterogeneous spatial data. A common modeling approach is the spatial deformation method that warps the domain to rec…

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Mathematics Preprint PDF DOI

Reverse Tableaux and the Surjectivity of the Component Map in Type $A$

Yasmine Fittouhi · 2026

Let $G = \mathrm{SL}(n,\mathbb{C})$, let $B$ be a fixed Borel subgroup, and let $P \supset B$ be a parabolic subgroup determined by a composition $(c_1,\dots,c_k)$ of $n$. Write $P'$ for the derived g…

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AI & Data Science Preprint PDF DOI

Interval Orders, Biorders and Credibility-limited Belief Revision

Richard Booth, Ivan Varzinczak · 2026

Rational belief revision is commonly viewed as being based on a preference order between possible worlds, with the resulting new belief set being those sentences true in all the most preferred models …

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