3 ms·
Tangential but related: Brownian motion (i.e. continuous-time random walk) is recurrent in one and two dimensions -- it hits zero infinite times, but in three d
by thanatropism 9y ago
Tangential but related: Brownian motion (i.e. continuous-time random walk) is recurrent in one and two dimensions -- it hits zero infinite times, but in three dimensions it is not.
The way my professor explained: a drunkard can always find his way back to his building, but not to his apartment.
- tzs 9y ago> The way my professor explained: a drunkard can always find his way back to his building, but not to his apartment. That might be true for a drunk Kitty Pryde, but is it true for a drunk ordinary human who is constrained to only move between floors via the stairs or elevator?
- thanatropism 9y agoWelp, a 1-to-1 correspondence can be made between Brownian motion on a 1-dimensional manifold and Brownian motion in plain \mathbb R.