Explanation: Random walk in 2D has a unity probability of making it back to the starting point as the number of steps approach infinity but random walk in 3D only has ~0.34.
Explanation: Random walk in 2D has a unity probability of making it back to the starting point as the number of steps approach infinity but random walk in 3D only has ~0.34.
So if we ignore that birds can’t fly infinitely high, and also that they don’t live in the air they live on a surface, in essentially a 2D area the same as humans, maybe this is interesting? But not really lol.
If you limit the extent of the third dimension to any finite value then my intuition says the probability is probably back to 100% but I don’t know for certain.