Results 81 to 90 of about 329 (150)
A Parametric Method of Finding Accessory Parameters for the Generalized Schwarz--Christoffel Integrals [PDF]
An approximate method of finding accessory parameters for the generalized Schwarz--Christoffel integrals has been suggested. The integrals provide conformal mappings of a half-plane onto the polygonal Riemann surfaces with inner branch points. The method
N.N. Nakipov, S.R. Nasyrov
doaj
The quantum Batalian-Vilkovisky master action for closed string field theory consists of kinetic term and infinite number of interaction terms. The interaction strengths (coupling constants) are given by integrating the off-shell string measure over the ...
Seyed Faroogh Moosavian, Roji Pius
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
Mappings with finite length distortion and Riemann surfaces
We prove a series of criteria in terms of dilatations for the continuous and homeomorphic extension of the map pings with finite length distortion between domains on Riemann surfaces to the boundary.
V.I. Ryazanov, S.V. Volkov
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On connections on principal bundles
A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
doaj +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 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
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
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
Fay identities for polylogarithms on higher-genus Riemann surfaces
A recent construction of polylogarithms on Riemann surfaces of arbitrary genus in arXiv:2306.08644 is based on a flat connection assembled from single-valued non-holomorphic integration kernels that depend on two points on the Riemann surface.
Eric D'Hoker, Oliver Schlotterer
doaj +1 more source

