The uniqueness of the Wiener–Hopf factorisation of Lévy processes and random walks
Abstract We prove that the spatial Wiener–Hopf factorisation of a Lévy process or random walk without killing is unique.
Leif Döring +3 more
wiley +1 more source
Electrodynamics of Carbon Nanotubes with Non-Local Surface Conductivity
A new framework that can be utilized for the electrodynamics of carbon nanotubes (CNTs) with non-local surface conductivity (spatial dispersion) is presented.
Tomer Berghaus +3 more
doaj +1 more source
Long‐time existence of Brownian motion on configurations of two landmarks
Abstract We study Brownian motion on the space of distinct landmarks in Rd$\mathbb {R}^d$, considered as a homogeneous space with a Riemannian metric inherited from a right‐invariant metric on the diffeomorphism group. As of yet, there is no proof of long‐time existence of this process, despite its fundamental importance in statistical shape analysis ...
Karen Habermann +2 more
wiley +1 more source
A Dynamic Problem of a Crack in a Plate Strip
In this paper discussed is the quasi-static problem of displacement and stress distribution in an infinite elastic strip containing a semi-infinite crack located in its middle plane.
G. Kuhn, M. Matczyński
doaj
A Periodic Extension to the Fokas Method for Acoustic Scattering by an Infinite Grating
The Fokas method (also known as the unified transform method) is used to investigate acoustic scattering by thin, infinite grating by extending the methodology to apply to spatially periodic domains. Infinite grating is used to model a perforated screen,
Shiza B. Naqvi, Lorna J. Ayton
doaj +1 more source
Asymptotic behaviour at infinity of solutions of second kind integral equations on unbounded regions of Rn [PDF]
We consider second kind integral equations of the form x(s) - (abbreviated x - K x = y ), in which Ω is some unbounded subset of Rn. Let Xp denote the weighted space of functions x continuous on Ω and satisfying x (s) = O(|s|-p ),s → ∞We show that if the
Chandler-Wilde, SN, Peplow, AT
core
Bott‐integrable Reeb flows on 3‐manifolds
Abstract This paper is devoted to studying a notion of Bott integrability for Reeb flows on contact 3‐manifolds. We show, in analogy with work of Fomenko–Zieschang on Hamiltonian flows in dimension 4, that Bott‐integrable Reeb flows exist precisely on graph manifolds.
Hansjörg Geiges +2 more
wiley +1 more source
The Solvability and Explicit Solutions of Singular Integral–Differential Equations with Reflection
This article deals with a classes of singular integral–differential equations with convolution kernel and reflection. By means of the theory of boundary value problems of analytic functions and the theory of Fourier analysis, such equations can be transformed into Riemann boundary value problems (i.e., Riemann–Hilbert problems) with nodes and ...
A. S. Nagdy +3 more
wiley +1 more source
Characterization of a Resistive Half Plane over a Resistive Sheet
The diffraction of a resistive half plane over a planar resistive sheet under plane wave illum1ination is determined via the dual integral equation method (a variation of the Wiener-Hopf method).
Natzke, John R., Volakis, John L.
core
Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral Method
During flight, projectiles are subject to uncertainties such as aerodynamic forces, wind gusts, and measurement errors; all of which significantly affect their stability and accuracy. As a result, studying the response of projectile systems under stochastic excitation is essential.
Liang Wang +5 more
wiley +1 more source

