Results 21 to 30 of about 147 (134)
Euclidean algorithms are Gaussian over imaginary quadratic fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley +1 more source
The shift‐homological spectrum and parametrising kernels of rank functions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
wiley +1 more source
GL‐algebras in positive characteristic II: The polynomial ring
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley +1 more source
Compact Spectral Imaging: A Review of Miniaturized and Integrated Systems
Laser &Photonics Reviews, Volume 19, Issue 21, November 6, 2025.This review explores the rapid shift toward compact spectral imaging systems by examining four key design paradigms: Do‐It‐Yourself (DIY) platforms, freeform optics, filter‐on‐chip integration, and multifunctional metasurfaces. The discussion highlights critical applications in medicine, agriculture, and environmental monitoring, providing comparative ...
Sani Mukhtar, Amir Arbabi, Jaime Viegas
wiley +1 more source
Space Weather, Volume 23, Issue 11, November 2025.Abstract The temporal evolution of the polar ionosphere's electric field distribution can be simulated by a magnetohydrodynamic (MHD) model of the magnetosphere–ionosphere system. The emulator SMRAI2 mimics the ionospheric state calculated with an MHD model, REPPU, under given solar wind conditions.
Shin'ya Nakano +5 more
wiley +1 more source
Classifying thick subcategories over a Koszul complex via the curved BGG correspondence
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract In this work, we classify the thick subcategories of the bounded derived category of dg modules over a Koszul complex on any list of elements in a regular ring. This simultaneously recovers a theorem of Stevenson when the list of elements is a regular sequence and the classification of thick subcategories for an exterior algebra over a field ...
Jian Liu, Josh Pollitz
wiley +1 more source
Tensor Analysis of Tropical Cyclone Boundary Layer Turbulence
Geophysical Research Letters, Volume 52, Issue 19, 16 October 2025.Abstract Turbulent momentum transport critically influences tropical cyclone (TC) structure and intensity, but its multiscale characteristics remain poorly understood. Using two large eddy simulations, we investigate the Reynolds stress tensor and subfilter‐scale momentum flux tensor during rapid intensification and mature stages of an idealized TC. We
Shanghong Wang, Xu Zhang
wiley +1 more source
Quarterly Journal of the Royal Meteorological Society, Volume 151, Issue 772, October 2025 Part A.We study the impact of observation‐error correlations in data assimilation using both a simple idealised system and a more realistic configuration. A spectral analysis of data assimilation in the idealised system allows us to gain insights on the effect of observation‐error correlations, which are then validated using the realistic configuration.
Olivier Goux +4 more
wiley +1 more source
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
A Note on Quasi-Frobenius Rings
, 2005 The Faith-Menal conjecture says that every strongly right $Johns$ ring is $QF$. The conjecture is also equivalent to say every right noetherian left $FP$-injective ring is $QF$. In this short article, we show that the conjecture is true under the condition(a proper generalization of left $CS$ condition)that every nonzero complement left ideal is not ...
Shen, Liang, Chen, Jianlong
openaire +2 more sources