Results 21 to 30 of about 2,002 (67)

On the Choice of Basis Functions for Modeling Earth's Elastic Deformation Due To Surface Loading

Journal of Geophysical Research: Solid Earth, Volume 130, Issue 10, October 2025.
Abstract Accurately modeling Earth's elastic deformation due to surface loads is essential for geodetic and geophysical studies, including investigations of climate change, hydrology, and tectonics. Various basis functions, such as spherical harmonics, Green's functions, disk functions, and Slepian functions, are commonly used to describe the ...
Fan Yang, Yingchun Shen, Weihang Zhang, Ehsan Forootan   +3 more
wiley   +1 more source

A Short Survey of Noncommutative Geometry

, 2000
We give a survey of selected topics in noncommutative geometry, with some emphasis on those directly related to physics, including our recent work with Dirk Kreimer on renormalization and the Riemann-Hilbert problem. We discuss at length two issues.
Alain Connes, Atiyah M. F., Atiyah M. F., Baum P., Broadhurst D. J., Brown L. G., Burghelea D., Chamseddine A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Cuntz J., Cuntz J., Cuntz J., Haagerup U., Hilsum M., Jaffe A., Julg P., Kalau W., Kasparov G. G., Kasparov G. G., Kontsevich M., Kreimer D., Kreimer D., Kreimer D., Kreimer D., Krieger W., Pimsner M., Rieffel M. A., Rieffel M. A., Singer I. M., Skandalis G., Takesaki M., Tsygan B. L., van Ritbergen T., Varilly J. C.   +46 more
core   +2 more sources

Stability Analysis of Slope Subjected to Seepage Forces Considering Spatial Variability of Soil Properties

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 11, Page 2459-2491, 10 August 2025.
ABSTRACT The stability analysis of a saturated soil slope subjected to seepage flow generated by rapid water level drawdown is investigated in this paper by means of the limit analysis kinematic approach. The analysis takes into account the inherent spatial variability of soil strength and permeability properties.
Mário Vargas Ceron, Diogo Lira Cecílio, Renato Vaz Linn, Samir Maghous   +3 more
wiley   +1 more source

Statistical Depth Meets Machine Learning: Kernel Mean Embeddings and Depth in Functional Data Analysis

International Statistical Review, Volume 93, Issue 2, Page 317-348, August 2025.
Summary Statistical depth is the act of gauging how representative a point is compared with a reference probability measure. The depth allows introducing rankings and orderings to data living in multivariate, or function spaces. Though widely applied and with much experimental success, little theoretical progress has been made in analysing functional ...
George Wynne, Stanislav Nagy
wiley   +1 more source

On Type II noncommutative geometry and the JLO character [PDF]

, 2010
The Jaffe-Lesniewski-Osterwalder (JLO) character is a homomorphism from K-homology to entire cyclic cohomology. This paper extends the domain of the JLO character to include Type II noncommutative geometry, the geometry represented by unbounded $\theta ...
Lai, Alan
core  

Clustering and the Three-Point Function

, 2016
We develop analytical methods for computing the structure constant for three heavy operators, starting from the recently proposed hexagon approach. Such a structure constant is a semiclassical object, with the scale set by the inverse length of the ...
Jiang, Yunfeng, Komatsu, Shota, Kostov, Ivan, Serban, Didina   +3 more
core   +4 more sources

Dynamic Electrochemical Impedance Spectroscopy: A Forward Application Approach for Lithium‐Ion Battery Status Assessment

EcoMat, Volume 7, Issue 7, July 2025.
Focusing on the black‐box problem in the battery field, this review provides an introduction to dynamic electrochemical impedance spectroscopy (DEIS), an emerging nondestructive testing technique. It first systematically explains the fundamental principles of DEIS and its analytical methods. Then, it explores its applications across four key areas: (1)
Xinyi Zhang, Yunpei Lu, Jingfu Shi, Yuezheng Liu, Hao Cheng, Yingying Lu   +5 more
wiley   +1 more source

Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations

Annalen der Physik, Volume 537, Issue 6, June 2025.
A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona, Davide Cocco, Giuseppe Procopio   +2 more
wiley   +1 more source

Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
wiley   +1 more source

Fredholm Indices and the Phase Diagram of Quantum Hall Systems

, 2000
The quantized Hall conductance in a plateau is related to the index of a Fredholm operator. In this paper we describe the generic ``phase diagram'' of Fredholm indices associated with bounded and Toeplitz operators.
Atiyah M., Dana I., Dyson F., Huckenstein B., J. E. Avron, Kreft C., Kunz H., L. Sadun, Liu D.Z., Sheng D.N., Tan Y., Thouless D.J., van Mouches P.H.M., von Neumann J.   +13 more
core   +1 more source