Results 81 to 90 of about 452 (150)
We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a ℤ3-invariant Riemann surface that is a three-fold cover of the Riemann sphere branched at four points, and explore ...
Minjae Cho, Scott Collier, Xi Yin
doaj +1 more source
Intrinsic Shape LDA With Application to Body Human Shapes Classification
ABSTRACT Advancements in 3D scanning and cloud infrastructure enable the acquisition and analysis of high‐density body surface datasets. In this work, we propose a novel methodology that extends linear discriminant analysis (LDA) to Kendall's shape space for the classification of 3D objects, specifically human body shapes.
Jorge Valero +3 more
wiley +1 more source
Learning Vertical Coordinates via Automatic Differentiation of a Dynamical Core
Abstract Terrain‐following coordinates in atmospheric models often imprint their grid structure onto the solution, particularly over steep topography, where distorted coordinate layers can generate spurious horizontal and vertical motion. Standard formulations, such as hybrid or SLEVE coordinates, mitigate these errors by using analytic decay functions
Tim Whittaker +4 more
wiley +1 more source
Localizing punctures in M-theory
We use equivariant localization and holography to study four-dimensional N = 1 $$ \mathcal{N}=1 $$ superconformal field theories arising from M5-branes wrapped on a punctured Riemann surface.
Christopher Couzens +2 more
doaj +1 more source
Learning 2D Shallow Water Equations With Physics‐Informed Neural Operator Networks
Abstract This study investigates the application of Physics‐Informed Neural Operators (PINOs) for solving the two‐dimensional shallow water equations (2D SWE) in the context of flood modeling. Unlike Physics‐Informed Neural Networks (PINNs), which require retraining for each new initial or boundary condition (BC), PINOs learn the solution operator ...
Robert Keppler +2 more
wiley +1 more source
Optimal Selling Mechanisms With Endogenous Seller Outside Offers
ABSTRACT We examine a two‐stage selling mechanism design problem, where the buyer makes her report and the seller endogenously decides his effort (hidden investment) to generate a possibly better outside offer. The optimal mechanism shows that the seller's effort depends on the reported value of the buyer; a higher value lowers the seller's incentive ...
Xiaogang Che +3 more
wiley +1 more source
A Short Note On M-Symmetric Hyperelliptic Riemann Surfaces
We provide an argument, based on Schottky groups, of a result due to B. Maskit which states a necessary and sufficient condition for the double oriented cover of a planar compact Klein surface of algebraic genus at least two to be a hyperelliptic Riemann
Rubén A Hidalgo
doaj
A Direct Approach for Detection of Bottom Topography in Shallow Water
ABSTRACT We propose a fast, stable, and direct analytic method to detect underwater channel topography from surface wave measurements, based on one‐dimensional shallow water equations. The technique requires knowledge of the free surface and its first two time derivatives at a single instant t★$t^{\star }$ above the fixed, bounded open segment of the ...
Noureddine Lamsahel, Carole Rosier
wiley +1 more source
Teichmüller Theory of Bordered Surfaces
We propose the graph description of Teichmüller theory of surfaces with marked points on boundary components (bordered surfaces). Introducing new parameters, we formulate this theory in terms of hyperbolic geometry.
Leonid O. Chekhov
doaj
Totally elliptic surface group representations
Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
wiley +1 more source

