Results 31 to 40 of about 196 (142)
Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$
Mathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre +2 more
wiley +1 more source
An Exploration of Motion‐Sampling Interactions in 3D MRI for Neuroimaging
Magnetic Resonance in Medicine, Volume 95, Issue 3, Page 1448-1461, March 2026.ABSTRACT Purpose To investigate how rigid head motion interacts with 3D MRI k‐space sampling strategies and to introduce motion‐sampling plots as a framework for predicting motion artifacts. Methods We evaluated a range of motion‐sampling combinations across three sampling trajectories (Cartesian, stack‐of‐stars, kooshball) in both simulation and in ...
Sophie Schauman +5 more
wiley +1 more source
A Scale‐Invariant Learning Model for Distributed Practice Effects
Cognitive Science, Volume 50, Issue 3, March 2026.Abstract Despite their potential to significantly improve the durability of learning and their proven predictive power on many occasions, theories of distributed practice have not yet been widely adopted by educators. The reluctance may be attributed to the enormous strain they impose on learners or the fragmented nature of the evidence, as well as the
Martin Riopel, Patrice Potvin
wiley +1 more source
The intermediate value theorem over a non-Archimedean field via Hensel's Lemma
, 2013 The paper proves that all power series over a maximal ordered Cauchy complete non-Archimedean field satisfy the intermediate value theorem on every closed interval. Hensel's Lemma for restricted power series is the main tool of the proof.
Corgnier, L., Massaza, C., Valabrega, P.
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p$p$‐adic equidistribution and an application to S$S$‐units
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley +1 more source
On the Euler characteristic of S$S$‐arithmetic groups
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
Osculating geometry and higher‐order distance Loci
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
wiley +1 more source
Slantwise Convection and Heat Transport in Icy Moon Oceans
Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.Abstract Ocean heat transport on icy moons shapes the ice shell topography, a primary observable of these moons. Two key processes control the heat transport: baroclinic instability driven by surface buoyancy contrasts and convective instability driven by heating from the core.
Yaoxuan Zeng, Malte F. Jansen
wiley +1 more source
Nonstandard Measure Spaces with Values in non-Archimedean Fields
, 2016 The aim of this contribution is to bring together the areas of $p$-adic analysis and nonstandard analysis. We develop a nonstandard measure theory with values in a complete non-Archimedean valued field $K$, e.g. the $p-$adic numbers $\mathbb{Q}_p$. The corresponding theory for real-valued measures is well known by the work of P. A. Loeb, R. M. Anderson
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Proceedings of the Edinburgh Mathematical Society, 2022 AbstractLet $\mathcal {N}$ be a non-Archimedean-ordered field extension of the real numbers that is real closed and Cauchy complete in the topology induced by the order, and whose Hahn group is Archimedean. In this paper, we first review the properties of weakly locally uniformly differentiable (WLUD) functions, $k$ times weakly locally uniformly ...
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