CSDL Home I ICCIMA 2005 Proceedings. Sixth International Conference on Computational Intelligence and Multimedia Applications

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Las Vegas, NV, USA

Aug. 16, 2005 to Aug. 18, 2005

ISBN: 0-7695-2358-7

pp: 68-73

Gabriel V. Orman , "Transilvania" University of Brasov

ABSTRACT

As it is known a precise definition of the Brownian motion involves a measure on the path space, such that it is possible to put the Brownian motion on a firm mathematical foundation. In this paper we refer to an appplication of asymptotic theory of stochastic differential equations in mathematical genetics. The construction of the Brownian motion as a limit of a rescaled random walk can be generalized to a class of Markov chains.

INDEX TERMS

Brownian motion, stochastic differential equations, Markov chain, transition probability, binomial distribution

CITATION

Gabriel V. Orman,
"On the Approximation of Markov Chains to Determine the Probability of Extinction of a Genotype",

*ICCIMA*, 2005, Proceedings. Sixth International Conference on Computational Intelligence and Multimedia Applications, Proceedings. Sixth International Conference on Computational Intelligence and Multimedia Applications 2005, pp. 68-73, doi:10.1109/ICCIMA.2005.41