Results 131 to 140 of about 29,270 (226)

Limits of Gaudin Systems: Classical and Quantum Cases

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
We consider the XXX homogeneous Gaudin system with N sites, both in classical and the quantum case. In particular we show that a suitable limiting procedure for letting the poles of its Lax matrix collide can be used to define new families of Liouville ...
Alexander Chervov   +2 more
doaj   +1 more source

Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$

open access: yesMathematische Nachrichten, Volume 299, Issue 3, Page 496-513, March 2026.
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley   +1 more source

The Evolving Landscape of Modern Regression: A Systematic Review and Mapping Study of Penalized, Algorithmic, and Interpretable Models

open access: yesWIREs Data Mining and Knowledge Discovery, Volume 16, Issue 1, March 2026.
This systematic review maps 50 years of regression methodology, tracing its evolution from ridge stabilization and penalized estimation to Bayesian, ensemble, and explainable‐AI frameworks. The analysis reveals a unified progression toward interpretable, cross‐domain modeling that integrates statistical rigor, computational scalability, and epistemic ...
Michael Bendersky, Shimon Fridkin
wiley   +1 more source

Three‐Dimensional Forward Modeling of Vector and Tensor Gravitational Fields Using the FFT‐Accelerated Finite‐Difference Scheme

open access: yesEarth and Space Science, Volume 13, Issue 3, March 2026.
Abstract Three‐dimensional gravity forward modeling with conventional numerical methods requires solving large‐scale linear system using direct matrix inversion or iterative solvers, incurring substantial computational costs that critically limit large‐scale three‐dimensional inversions.
Xiaozhong Tong   +3 more
wiley   +1 more source

Poroelastic Bulk Controls on Shear Localization in Fault Gouge During Earthquake Rupture: Insights From a Hybrid Numerical Framework

open access: yesJournal of Geophysical Research: Solid Earth, Volume 131, Issue 3, March 2026.
Abstract Seismic ruptures that extend over kilometers along faults originate in shear zones only millimeters thick. We present a hybrid numerical framework coupling the spectral boundary integral method (SBIM) for the poroelastic bulk with a staggered‐grid finite difference method (FDM) for the fault gouge.
Yu‐Han Wang, Elías Rafn Heimisson
wiley   +1 more source

An accelerated framework for high‐resolution X‐ray holographic reconstruction

open access: yesJournal of Synchrotron Radiation, Volume 33, Issue 2, Page 454-466, March 2026.
HiHolo, a high‐performance CUDA‐MPI software framework for X‐ray holographic reconstruction, achieves performance improvement over existing solutions while introducing three enhanced iterative algorithms that effectively reduce artifacts and improve spatial resolution in propagation‐based phase contrast imaging.X‐ray propagation‐based phase contrast ...
Jiarui Hu   +5 more
wiley   +1 more source

Optimal Refund Mechanism With Consumer Learning

open access: yesThe RAND Journal of Economics, Volume 57, Issue 1, Page 205-224, Spring 2026.
ABSTRACT This article studies the optimal refund mechanism when an uninformed buyer learns about their valuation over time. We consider various refund mechanisms including simple return policies (no returns or free returns), and stochastic return policies, which allow the buyer to keep the product with some probability upon receiving a refund.
Qianjun Lyu
wiley   +1 more source

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