Conversation

If I am doing a random walk I can expect to be sqrt(n) steps away from the origin after taking n steps. Is there anything I can expect about the *direction* though? I would think net direction would not drift much after a while. Max heading deviation = arctan(1/sqrt(n)) ...🤔
3
8
Replying to and
If distance and bearing is truly random (all bearings equally likely regardless of prev bearing) this is weakly true. If bearing is dependent (plus minus 20 from current bearing) this is strongly true.
1