Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
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Impact of Endothelial Diversity and Dysfunction on Cardiovascular Disease
Comprehensive Physiology, Volume 15, Issue 6, December 2025.The vascular endothelium is highly diverse, regulating permeability, vascular tone, repair, and inter‐organ communication. Endothelial heterogeneity supports tissue‐specific needs, but dysfunction drives cardiovascular disease. Transcriptomics, in vitro models, and redox signaling studies reveal therapeutic targets for precision treatment of ...
Anna E. Williams +6 more
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Comonotonic‐Based Time Series Clustering With Constraints: A Review and a Conceptual Framework
Environmetrics, Volume 36, Issue 8, December 2025.ABSTRACT Time series clustering is a widely used unsupervised learning approach that identifies groups of similar time series to uncover hidden patterns in complex datasets. In recent years, this technique has gained traction in the analysis of geo‐referenced time series, where spatial information must be incorporated into the dissimilarity measure to ...
Alessia Benevento +2 more
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Predictive power of the Berezinskii-Kosterlitz-Thouless theory based on Renormalization Group throughout the BCS-BEC crossover in 2D superconductors [PDF]
Giovanni Midei +3 more
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Nonperturbative renormalization group in a light-front three-dimensional real scalar model [PDF]
, 1997 Takanori Sugihara, Masanobu Yahiro
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Climatic Specific Energy Rating Analysis of Outdoor PV Field Data
Progress in Photovoltaics: Research and Applications, Volume 33, Issue 12, Page 1365-1377, December 2025.The study evaluates the Climatic Specific Energy Rating (CSER) of Photovoltaic device according to IEC 61853 standard series. It explores the use of long‐term PV outdoor field data in order to understand how the length and seasonality of the data acquisition period affects the reliability of the CSER parameter. It provides important insights for the PV
Teodora S. Lyubenova +2 more
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Dokshitzer-Gribov-Lipatov-Altarelli-Parisi Evolution and the Renormalization Group Improved Yennie-Frautschi-Suura Theory in QCD [PDF]
, 1997 B. F. L. Ward, S. Jadach
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Gradient flow and the Wilsonian renormalization group flow [PDF]
, 2021 Hiroki Makino +2 more
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Fundamental Properties of Heavily Ge‐Doped AlGaN Prepared via Pulsed Sputtering
physica status solidi (b), Volume 262, Issue 12, December 2025.This study explores the properties of heavily Ge‐doped AlGaN films prepared via pulsed sputtering deposition. Films with Al content below 34% exhibit higher electron concentrations than Si‐doped counterparts. The maximum carrier concentration reaches 1.8 × 1020 cm−3. Optical bandgaps are enhanced by the Burstein–Moss shift.
Aiko Naito, Kohei Ueno, Hiroshi Fujioka
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