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I am trying to understand situations under which Gaussian distribution would apply. For example, I read somewhere that if you have some ink drop on a porous paper, then the distribution of the displacement of ink particles is approximately gaussian.

I am trying to figure out why this should be? Is it because the diffusion in the 2 directions are independent and due to the central limit theoram they should follow Gaussian distribution.? Also, what happens if the paper is very narrow in one dimension and the ink can move freely in one direction but not the other. Would the distribution be still Gaussian?

Also, what does one mean when one says that a gaussian function has only a single directional maximum? I read this in a paper about diffusion MRI and the failure of the diffusion tensor model to capture multidirectional diffusion.

Would really appreciate your thoughts on this.

Thanks,

Luca

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# Question about Gaussian distribution

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