Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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High-Order Aberrations in Cataract Surgery: Current Status and Future Perspectives: A Scoping Review. [PDF]
Medicina (Kaunas)Musat AAM +5 more
europepmc +1 more source
Double‐jump phase transition for the reverse Littlewood–Offord problem
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Erdős conjectured in 1945 that for any unit vectors v1,…,vn$v_1, \ldots, v_n$ in R2$\mathbb {R}^2$ and signs ε1,…,εn$\varepsilon _1, \ldots, \varepsilon _n$ taken independently and uniformly in {−1,1}$\lbrace -1,1\rbrace$, the random Rademacher sum σ=ε1v1+⋯+εnvn$\sigma = \varepsilon _1 v_1 + \cdots + \varepsilon _n v_n$ satisfies ∥σ∥2⩽1$\Vert \
Lawrence Hollom +2 more
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Kolmogorov-Arnold Networks for Sensor Data Processing: A Comprehensive Survey of Architectures, Applications, and Open Challenges. [PDF]
Sensors (Basel)Martínez-Heredia AM, Ortiz A.
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Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
International Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
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Variational Method for Vibration Analysis of Elliptic Cylinders Reinforced with Functionally Graded Carbon Nanotubes. [PDF]
Materials (Basel)Gong Q, Liu T, Teng Y, Ma B, Li X.
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Clumped Isotope Temperature Reconstruction Using Stalagmite Drip Cups
Rapid Communications in Mass Spectrometry, Volume 40, Issue 8, 30 April 2026.ABSTRACT Rationale Application of clumped isotope palaeothermometry to speleothems (carbonate cave deposits, e.g., stalagmites and flowstones) has been restricted largely to subaqueous samples because of kinetic fractionation processes that occur during subaerial speleothem formation, which lead to erroneously high inferred temperatures.
Stuart Umbo +11 more
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ChebIoD: a Chebyshev polynomial-based lightweight authentication scheme for internet of drones environments. [PDF]
Sci RepAl-Mekhlafi ZG +9 more
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Weather Regime Diversity, Transitions, and Trends Using Hexagonal Self‐Organizing Maps
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 8, 28 April 2026.Abstract Persistent atmospheric circulation patterns, or weather regimes, strongly modulate surface weather and extremes, yet their internal diversity, transitions, and trends remain less understood for North America. We apply a self‐organizing map (SOM) framework to represent North American weather regimes using daily 500‐hPa geopotential height ...
Luke Wichrowski +2 more
wiley +1 more source