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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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Physics Preprint PDF DOI

Determination of turbulent heating rate and relaxed states in finite Larmor radius magnetohydrodynamic turbulence with helicity barrier

Ramesh Sasmal, Supratik Banerjee · 2026

Finite Larmor radius magnetohydrodynamics (FLR-MHD) provides a hybrid model of plasma that explains how turbulent energy cascade extends to sufficiently small parallel length scales, potentially leadi…

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Physics Preprint PDF DOI

Nodal algebraic curves and entropy diagnostics in degenerate two-dimensional harmonic-oscillator shells

C A Escobar Ruiz, H Olivares-Pilon, A M Escobar-Ruiz · 2026

Degenerate quantum eigenspaces can support substantial changes in nodal geometry at fixed energy. We show that, for the two-dimensional isotropic harmonic oscillator, this restructuring is organized b…

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Mathematics Preprint PDF DOI

On centered local $\pi$-bases

Nathan Carlson · 2026

In 1967 Hajnal and Juh{\'a}sz showed that the cardinality of a first-countable Hausdorff space with the countable chain condition has cardinality at most $\mathfrak{c}$, the cardinality of the real li…

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Mathematics Preprint PDF DOI

A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers

Rene Peschmann · 2026

Building on the genus-3 reduction $C_A : w^2 = \lambda^8 + A \lambda^4 + 1$ established in our companion paper (arXiv:2604.09328), we give an unconditional proof of the perfect-cuboid conjecture ("Con…

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Mathematics Preprint PDF DOI

Hallucination, Abstention, and Recursive Inseparability

Takuma Imamura · 2026

The impossibility of eliminating hallucination, understood here as incorrect definite answers, in sufficiently expressive yes-or-no formal domains is an immediate consequence of classical undecidabili…

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AI & Data Science Preprint PDF DOI

Ease of dependency distance minimization in star-like structures

Emilia Garcia-Casademont, Ramon Ferrer-i-Cancho · 2026

The syntactic structure of a sentence can be represented as a tree where edges indicate syntactic dependencies between words. When that structure is a star, it has been demonstrated that the head shou…

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Physics Preprint PDF DOI

Cosmological intercept tension

Jia-Qi Wang, Shao-Jiang Wang · 2026

The long-standing tension in the Hubble constant $H_0$ has motivated extensive explorations of both new physics and observational systematics, for example, the late-time systematics in measuring the B…

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Physics Preprint PDF DOI

$b \to c$ semileptonic sum rule: orbitally excited hadrons

Motoi Endo, Syuhei Iguro, Satoshi Mishima · 2026

We study semileptonic sum rules for $b \to c \tau \overline{\nu}$ transitions involving orbitally excited charm hadrons. Starting from the amplitude-level relation implied by the heavy quark symmetry,…

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Mathematics Preprint PDF DOI

Sufficient conditions for spanning $k$-trees in tough graphs

Caili Jia, Yong Lu · 2026

The toughness of a graph $G$, denoted by $\tau(G)$, is defined by $\tau(G)=$min $\{\frac{|S|}{c(G-S)}:S\subseteq V(G)$ and $c(G-S)\geq2\}$. A graph $G$ is said to be $\tau$-tough if $\tau(G)\geq \tau$…

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Physics Preprint PDF DOI

Cosmological Observational Tests in the JWST Era. II: The Tolman Test

V. V. Tsymbal, A. A. Raikov, N. Yu. Lovyagin · 2026

In this work, we investigate a classical cosmological test - the dependence of galaxy surface brightness on redshift z (the Tolman test). We analyzed 6 860 galaxies with reliably determined spectrosco…

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Physics Preprint PDF DOI

Search for light charged Higgs bosons decaying to charm and strange quarks in $\mathrm{t\bar{t}}$ events in proton-proton collisions at $\sqrt{s}$ = 13 TeV

CMS Collaboration · 2026

A search is presented for a light charged Higgs boson H$^\pm$ in top quark pair production ($\mathrm{t\bar{t}}$), where one of the top quarks decays to an H$^\pm$ and a bottom quark, while the other d…

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Physics Preprint PDF DOI

On Linear and Non-Linear Mechanics of Cyanobacterial Colonies

Yuri Z. Sinzato, Annemieke M. Drost, Dedmer B. Van de Waal, Robert Uittenbogaard, Petra M. Visser, Jef Huisman, Maziyar Jalaal · 2026

Toxic cyanobacterial blooms are a growing environmental concern that affects freshwater ecosystems, drinking water supplies, and public health. The cyanobacterium Microcystis is among the most importa…

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Physics Preprint PDF DOI

A perturbative Liouville prescription for the celestial three-gluon amplitude

Grzegorz Biskowski, Franco Ferrari, Marcin R. Piatek, Artur R. Pietrykowski · 2026

We study the celestial three-gluon amplitude in a dilaton background through the Mellin-Liouville formulation proposed by Stieberger, Taylor and Zhu (STZ). The original map contains an ambiguity in th…

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Physics Preprint PDF DOI

Constraining Dipole Radiation with Multiband Gravitational Waves from Eccentric Binary Black Holes

Han Wang, Lijing Shao · 2026

Dipole-radiation-like deviations from general relativity are most prominent during the early inspiral of compact binaries, making space-ground multiband observations a potential probe of such effects.…

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Physics Preprint PDF DOI

On the proposed concept of mechanical phasons in Ni-Mn-Ga modulated martensite

Petr Sedlak, Tomas Grabec, Hanus Seiner (Institute of Thermomechanics, Czech Academy of Sciences, Prague) · 2026

We discuss modulation phasons as a possible source of unusual elastic behavior of five-layer modulated (10\,M) martensite of the Ni-Mn-Ga shape memory alloy. This material exhibits anomalous macroscop…

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Physics Preprint PDF DOI

To stall-cell or not to stall-cell: Variational data assimilation of 3D mean flow past a stalled airfoil

Uttam Cadambi Padmanaban, Craig Thompson, Bharathram Ganapathisubramani, Sean Symon · 2026

The full-field reconstruction of three-dimensional (3D) turbulent flows from sparse experimental measurements remains a significant challenge, particularly for flows exhibiting complex 3D flow separat…

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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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AI & Data Science Preprint PDF DOI

JaiTTS: A Thai Voice Cloning Model

Jullajak Karnjanaekarin, Pontakorn Trakuekul, Narongkorn Panitsrisit, Sumana Sumanakul, Vichayuth Nitayasomboon, Nithid Guntasin, Thanavin Denkavin, Attapol T. Rutherford · 2026

We present JaiTTS-v1.0, a state-of-the-art Thai voice cloning text-to-speech model built through continual training on a large Thai-centric speech corpus. The model architecture is adapted from VoxCPM…

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Mathematics Preprint PDF DOI

Renormalized Solutions for a Class of Nonlinear Parabolic Equation with a Lower Order Term and Variable Exponents

Chunjin Li, Shijun Li, Shaopeng Xu · 2026

We consider a class of nonlinear parabolic equations \[ \dfrac{\partial}{\partial t} b(u)-\nabla \cdot (A(x,t,u,\nabla u))+H(x,t,\nabla u)=f , \] where $H$ is a nonlinear lower order term sati…

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