Recent content by sjweinberg

Thanks! That answers my question.

Consider a random walk (in any dimension) with N steps and a step size of 1. Take a real number \alpha > 0 and consider another random walk which takes \alpha^2 N steps but wil step size \frac{1}{\alpha}. I immediately noticed that the mean deviation after the full walk in both cases is the...

Why don't you try jumping into a black hole and find out for yourself if you can detect the singularity.

Thanks for the help. In fact, your estimation of \alpha = \frac{3}{2} is the same thing I estimated with the following sketchy method: Let n(t) = \frac{t}{\delta t} be the number of particles emitted after time t. Then, the speed of the large particle at time t can be estimated as...

Thanks for your help. I am aware that the momentum distribution will converge to a Gaussian of width \sim \sqrt{N} \delta p. However, do you know what this will mean for the position distribution? In other words, I am really interested in the distribution of the quantity \sum_{i} p(t_{i})...

Suppose I have a large particle of mass M that is randomly emitting small particles. The magnitude of the momenta of the small particles is \delta p (and it is equal for all of them. Each particle is launched in a random direction (in 3 spatial dimensions--although we can work with 1 dimension...