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Dr.Lecter
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Homework Statement
Consider a random walker in one dimension, which can take right or left steps with equal probability. Assume that the walker starts at the location k>0 and there is an absorbing wall at point labelled as 0, that means if the walker reaches 0 the process stops and he stays there. Calculate the probability of reaching point m>0 in N steps. By taking continuum limit, find the solution to the diffusion in the presence of an absorbing wall at the origin.
The Attempt at a Solution
Actually this is an example of reflection principle (method of imagines boundary value problems.) However I couldn't figure out how its related. So if you give me hint to where should I start I'll be appreciated.