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We study the deterministic characteristics of stochastic processes through investigation of random walks and the heat equation. The relationship is confirmed by discretizing the heat equation in time and space and determining the probability distribution function for random walks in dimension d = 1, 2. The existence of the relationship is presented both through theoretical analysis and numerical computation.


This poster was presented at the 31st Semi-Annual Honors and Undergraduate Research Scholars Poster Presentation at New York City College of Technology, December 4th, 2019.

Mentor: Prof. Lin Zhou (Mathematics).



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