The point of view of the particle is an approach that has proven very powerful in the study of many models of random motions in random media. We provide a new use of this approach to prove the law of large numbers in the case of one or higher-dimensional, finite range, transient random walks in mixing random environments. One of the advantages of this method over what has been used so far is th...

The point of view of the particle is an approach that has proven very powerful in the study of many models of random motions in random media. We provide a new use of this approach to prove the law of large numbers in the case of one or higherdimensional, finite range, transient random walks in mixing random environments. One of the advantages of this method over what has been used so far is tha...

The point of view of the particle is an approach that has proven very powerful in the study of many models of random motions in random media. We provide a new use of this approach to prove the law of large numbers in the case of one or higherdimensional, finite range, transient random walks in mixing random environments. One of the advantages of this method over what has been used so far is tha...

In this paper we propose a new method, called multiple particle swarm optimizers with diversive curiosity (MPSOα/DC), for improving the search performance of the convenient multiple particle swarm optimizers. It has three outstanding features: (1) Implementing plural particle swarms simultaneously to search; (2) Exploring the most suitable solution in a small limited space by a localized random...

In this paper, the trajectories of free conducting particles of various sizes inside a three phase common enclosure Gas Insulated Busduct(GIB) are simulated by solving the nonlinear second order differential equation of particle motion iteratively by using RK 4 Order Method. Compressed Gas Insulated Substations(GIS) consists of a conductor supported by spacers inside of Sulphur hexafluoride gas...

This work investigates the problem of 6-Degrees-Of-Freedom (6-DOF) object tracking from RGB-D images, where the object is rigid and a 3D model of the object is known. As in many previous works, we utilize a Particle Filter (PF) framework. In order to have a fast tracker, the key aspect is to design a clever proposal distribution which works reliably even with a small number of particles. To ach...

The potential equation provides a natural mathematical basis for all the illumination computation methods based on the strategy of shooting light. The particle tracing technique which p h ysically simulates the particle model of light, can also be considered as a general, random walk based solution to the potential equation. As the complexity of the environment increases, the straight forward p...