Bistable deployable scissor structures (BDS) are interesting solutions for temporary civil engineering having the requirement of rapid erection and use. The transformation design BDS have been studied in various works literature using numerical simulations based on a quasi-static loading assumption. In contrast, their dynamic behavior factors influencing it not yet extensively investigated. Thi...

Like other structures, shallow domes have imperfections from the prescribed values obtained by specifications during the construction process. Specifications define some tolerance values for imperfections. Despite consideration of these values, the critical load of a dome varies for each imperfection pattern. So the reliability plays an important role in domes safety. Theoretical evaluation pro...

We theoretically analyze the robustness to potential distortion of mode-locking in a harmonic cavity nanolaser sustaining oscillation Hermite-Gaussian modes. Different types imperfections that create modes are considered: non-parabolicity and possible random errors shape potential. The influence different laser parameters, including Henry factors gain medium saturable absorber, on mode-locked r...

Images recorded in electronic or photographic media are often degraded due to system imperfections such as diffraction effects, optical system aberrations, camera and/or object motions, defocussing, or atmospheric turbulences. In addition to these blurring effects, the recorded image is usually corrupted by various random noise effects such as the randomness of the film grain, photoelectric eff...

Motivated by Segal’s axiom of conformal field theory, we do a survey on geometrical random fields. We do a history of continuous random fields in order to arrive at a field theoretical analog of Klauder’s quantization in Hamiltonian quantum mechanic by using infinite dimensional Airault-Malliavin Brownian motion. AMS 2000 subject classifications: Primary 60G60; secondary 81T40.

We study weak and strong survival for branching random walks on multigraphs. We prove that, for a large class of multigraphs, weak survival is related to a geometrical parameter of the multigraph and that the existence of a pure weak phase is equivalent to nonamenability. Finally we study weak and strong critical behaviors of the branching random walk.

We discuss the geometrical connection between 2D conformal field theories, random walks on hyperbolic Riemann surfaces and knot theory. For the wide class of CFT’s with monodromies being the discrete subgroups of SL(2,R I ) the determination of four–point correlation functions are related to construction of topological invariants for random walks on multipunctured Riemann surfaces.