We give necessary and sufficient conditions for the almost sure (a.s.) relative stability of the overshoot of a random walk when it exits from a two-sided symmetric region with curved boundaries. The boundaries are of power-law type, ±rn, r > 0, n = 1, 2, · · · , where 0 ≤ b < 1, b 6= 1/2. In these cases, the a.s. stability occurs if and only if the mean step length of the random walk is finite...

To realize the roller forming process of curved edges aluminium alloy auto-body closure panels, a numerical simulation method is proposed for sheet with adhesive in flat variable curvature. Firstly, motion calculated by discrete curvature curve method. Secondly, FEM-SPH coupling established to simulate interaction between layer and sheet. Subsequently, model was constructed finite element calcu...

a non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized fibonacci sequence , , , . a remarkable application of this definition may be find on the study of random covers in the cryptography. the 2-step generalized sequences for the dihedral groups studied for their pe...

Combining several previously known arguments, we prove marked length spectrum rigidity for surfaces with nonpositively curved Riemannian metrics away from a finite set of cone-type singularities with cone angles > 2π. With an additional condition, we can weaken the requirement on one metric to ‘no conjugate points.’

Abstract In this chapter, we prove a version of the main result using length spectrum instead Laplace spectrum, in case manifold is negatively curved. We introduce L -series corresponding to unitary representation fundamental group, recall its convergence properties relation volume entropy, and behaviour finite covers.

This paper presents a novel deployable reflector concept based on the origami flasher pattern. The proposed folding architecture achieves rigid foldability for patterns applied to doubly curved surfaces, allowing parabolic reflectors be divided into number of panels efficient stowage. Such an provides intermediate solution between current rigid-surface and flexible-surface reflectors, offering ...

We study delamination in a sandwich panel due to transient finite plane strain elastic deformations caused by local water slamming loads and use the boundary element method to analyze motion of water and the finite element method to determine deformations of the panel. The cohesive zone model is used to study delamination initiation and propagation. The fluid is assumed to be incompressible and...

In this paper, a new roofing system is introduced, which is constructued using the precast composite sandwich panels. This roofing sandwich panels system consists of three kinds of precast concrete sandwich panels including capital panels, beam or between columns panels, and slab or middle panels. The panels are composed of three layers; A high strength reinforced concrete top layer. A thick la...

In this study, the parametric analysis was conducted on different designs of free-suspended ceiling radiant cooling panel ( CRCP ) and area to improve its performance. A three-dimensional CFD simulation model developed investigate capacity heat transfer coefficient s. Four parameters were used be design parameters: length L , curvature radius r void distance between each or segment d coverage c...