Brownian motionCouplingMinkowski dimensionWe consider the following dynamic Boolean model introduced by van den Berg et al. (Stoch. Process. Appl. 69:247-257, 1997). At time 0, let the nodes of the graph be a Poisson point process in with constant intensity and let each node move ...
Geometric Brownian motion Geometric center of Slovenia Geometric center of Slovenia Geometric center of Slovenia Geometric centre of Slovenia Geometric centre of Slovenia Geometric centre of Slovenia geometric complex Geometric Complexity Theory Geometric computation ...
Grigor’yan, A.: Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds. Bull. Amer. Math. Soc. (N.S.) 36(2), 135–249 (1999) MathSciNet Google Scholar Hadamard, J.: Sur certaines propriétés des trajectores en dynamique. J....
In this paper we consider a natural extension of the random geometric graph model to the mobile setting by allowing nodes to move in space according to Brownian motion. We study three fundamental questions in this model: detection (the time until a given target point-which may be either fixed...
graph theoryprobabilityrandom processes/ logarithmic reductionprobabilistic geometric constructionsorganized structuresregular structuresasymptotic convex geometryrandom walksexpander graphs/ A0540 Fluctuation phenomena, random processes, and Brownian motion A0210 Algebra, set theory, and graph theory A0250 ...
In zone1, there is an irregular search of particles under Brownian motion. Figure 5 shows the Brownian distribution from a one-dimensional perspective and its trajectories in one-dimensional, two-dimensional, and three-dimensional spaces. As shown in the relevant figure, Brownian motion can overlay...
1) geometric Brownian motion 几何布朗运动模型 2) geometry 几何 1. Research on the Satellite s Geometry Attitude Determination; 卫星姿态的几何确定方法初探 2. Method of detecting collision of spatial pipes based ongeometry; 一种基于几何的空间管道碰撞检测算法 ...
organized as follows: Section 2 gives some preliminary definitions of the stochastic process to the readers with zero knowledge, such as the Hurst parameter, autocorrelation function (ACF), fractal dimensions (FD), self-similar process and long range dependence (LRD) and fractional Brownian motion ...