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N-step 1-d Random Walk Distribution

Hi

I am trying to follow the attached (or if it's easier p.18-21 http://physics.bnu.edu.cn/application/faculty/tuzhanchun/biophys/L08.pdf on this).

I follow up to the bottom line on page 20 - the second logarithm expression and the Gaussian distribution on the top of page 21. Has the Gaussian expression been obtained from the logarithm expression?

I'm pretty stuck as to attempt what has even been done, what have we taken the log of and why?

Many thanks
rw.png134.1KB
I am not sure which page you meant because there is no page numbers and you didn't follow your labeling...
Original post by nologiceretoday
Hi

I am trying to follow the attached (or if it's easier p.18-21 http://physics.bnu.edu.cn/application/faculty/tuzhanchun/biophys/L08.pdf on this).

I follow up to the bottom line on page 20 - the second logarithm expression and the Gaussian distribution on the top of page 21. Has the Gaussian expression been obtained from the logarithm expression?

I'm pretty stuck as to attempt what has even been done, what have we taken the log of and why?

Many thanks


You have my sympathy - that is a truly obscure derivation! If you want to see the details spelled out, have a look at this.

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