Results 131 to 140 of about 5,570,536 (255)

On the Riemann-Hilbert Problems

open access: yes, 1998
We discuss some topological aspects of the Riemann-Hilbert transmission problem and Riemann-Hilbert monodromy problem on Riemann surfaces. In particular, we describe the construction of a holomorphic vector bundle starting from the given representation of the fundamental group and investigate the local behaviour of connexions on this bundle.
openaire   +2 more sources

Connectivity of Inhomogeneous Random Graphs II

open access: yesRandom Structures &Algorithms, Volume 69, Issue 2, September 2026.
ABSTRACT Each graphon W:Ω2→[0,1]$$ W:{\Omega}^2\to \left[0,1\right] $$ yields an inhomogeneous random graph model 𝔾(n,W). We show that 𝔾(n,W) is asymptotically almost surely connected if and only if (i) W$$ W $$ is a connected graphon and (ii) the measure of elements of Ω$$ \Omega $$ of W$$ W $$‐degree less than α$$ \alpha $$ is o(α)$$ o\left(\alpha ...
Jan Hladký, Gopal Viswanathan
wiley   +1 more source

A Circular Elastic Inhomogeneity With Two Interfacial Arc Cracks in Anti‐Plane Shear

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 9, September 2026.
ABSTRACT We consider the anti‐plane elasticity problem of a circular isotropic elastic inhomogeneity with two equal symmetric interfacial arc cracks embedded in an infinite isotropic elastic matrix. Using the conformal mapping function for quadrature domains by Crowdy (2015) and the method of images, we derive analytical solutions to the four typical ...
Xu Wang, Peter Schiavone
wiley   +1 more source

A Metric for Quantifying Spatial Heterogeneity in Gridded Atmospheric Fields

open access: yesEarth and Space Science, Volume 13, Issue 9, September 2026.
Abstract Spatial heterogeneity influences many nonlinear atmospheric processes but it is often described qualitatively or with simple statistical measures that do not capture spatial organization. We introduce a mixing‐oriented metric for gridded fields based on the expected deviation of subdomain means from the global average.
M. Mohebalhojeh   +3 more
wiley   +1 more source

Recherches archéologiques sur les îles ioniennes 1. Corfou, 2. Céphalonie, 3. Zante et Cérigo.

open access: yes, 2009
Appendix.Introduction: Riemann, OthonDedication:Content description: TitleIllustration: (Maps ,antiquities ,)Pagination: PP6+58P, PP4+70P+2PP, PP8+66PVolumes: 1Text Genre:ProseIllustration: (χάρτες ,αρχαιότητες ,
Riemann, Othon-Riemann Othon   +1 more
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