Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
The 43rd ISCIE International Symposium on Stochastic Systems Theory and Its Applications (Oct. 2011, Shiga)
A Simulation of the Radiation Diffusion by a Stochastic Diffusion Model with Geographical Data
N. ShimizuT. Tsuchiya
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2012 Volume 2012 Pages 328-332

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Abstract
We consider a simulation for radiation diffusion with consideration for geographic data. In our simulation scheme, each particle is simulated as a Markov chain with a transition function which is dependent on some geographic data, and we assume that the each particle moves independently. Then due to the effect of the law of large numbers, the real observed value can be approximated by the expectation of the Markov chain. In this paper, we simulate a large number of the paths of particles to see the influence of geographic data and analyze the structure called “Hot spot”.
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© 2012 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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