Inspired by coalescent theory in biology, we introduce a stochastic model called ”multi-person simple random walks” or “coalescent random walks” on a graph G. There are any finite number of persons distributed randomly at the vertices of G. In each step of this discrete time Markov chain, we randomly pick up a person and move it to a random adjacent vertex. To study this model, we introduce the...

Given a random walk $(S_n)$ with typical step distributed according to some fixed law and parameter $p \in (0,1)$, the associated positively step-reinforced is discrete-time process which performs at each step, probability $1-p$, same as while $p$, it repeats one of steps performed previously chosen uniformly random. The negatively follows dynamics but when repeated its sign also changed. In th...

Exploiting the coherent medium approximation, I investigate a random walk on objects distributed randomly in continuous space when jump rate depends distance between two adjacent objects. In one dimension, it is shown that decays exponentially long limit, non-diffusive to diffusive transition occurs as density of sites increased. three dimensions, exists has super Gaussian decay.

The purpose of this study is to identify parameters influence on the particle deposition within fin and tube heat exchanger of air-conditioning systems by CFD analysis. First the basic sketch of periodic geometry drawn and meshing operation including boundary conditions was performed. Then the gas side properties and flow parameters were solved by ANSYS Fluent 14.5 software. Lagrangian equa...