someone who's good at wieners help me figure out what's going on here

EDIT: winning answer peoplemaking.games/@JoshJers/1

good hustle everyone!

this is not a trap. please explain this to me with simple words lol

EDIT: winning answer peoplemaking.games/@JoshJers/1

good hustle everyone!

@aeva I think it's saying

1. it always starts at 0
2. for every timestep a change is measured, the change is random (i.e. it isn't affected by previous changes). Basically, shit moves randomly
3. The distribution of the random values over the whole of motion has a gaussian distribution around 0 (smaller changes much more likely than large changes)
4. it's continuous (that is if your timescales are infinitely small, there are no "jumps")

@JoshJers ah ok so it's a random walk and the path is continuous?

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@aeva @JoshJers

Imagine a random walk where each step advances time by eps and walks up/down by sqrt(eps). Wiener process is basically a limit of that for eps going down to zero.

@aeva @JoshJers an interesting exercise is to figure out what would happen if the steps were to decrease more quickly/slowly than sqrt(eps)

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