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Random walkers illuminate a math problem (scitation.org)
49 points by bryanrasmussen 69 days ago | hide | past | web | favorite | 7 comments

Tangentially related, I recently searched for an equation that could provide the expected mean particle displacement (at some dt) given the average particle diffusion rate. I was surprised to find out who solved this problem... Brownian motion was first described in 1827 by botanist Robert Brown while looking through a microscope at pollen immersed in water, which seemed to move with a so-called 'random walk'. Around 80 years later, the young physicist Albert Einstein published his first relatively (heh) important contribution to science - an article that worked out the math describing this stochastic motion. Here's the paper:


I don't think that the author of the article has any idea what they are speaking about.

Retelling the article:

  - I am speaking about a result Z.
  - Here's the proof for A (obvious)
  - Here's the proof for B (obvious)
  - Here's the proof for C (obvious)
  - This is a great achievement.
I did not read the original paper, but am I missing something from the article itself?

I rather suspect the opposite problem: the author has too much math background to realize when they're using too much lingo and skipping too many steps. That or they're really just copy-pasting from someone like that. Anyway, the article did make sense eventually, mostly, after I read it three times.

So who are those PR releases are targetting?

Good question. I didn't say it was a smart way to write.

How does this relate to stock trading? There is a book A random walk down Wall Street on random walks related to trading.


So what happens if you attempt to do proof by induction? I guess you get stuck proving that the general n+1 case equals pi/2?

I certainly expect so.

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