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Questions on Monte Carlo methods, methods that require the repeated generation of (pseudo-, quasi-)random numbers for computing their results.

3 votes
1 answer
73 views

Measurement of observables in Parallel Tempering Monte Carlo simulations

I'm doing Metropolis-Hastings Monte Carlo simulations of a classical spin Hamiltonian at different temperatures using the parallel tempering algorithm. I have managed to obtain constant exchange rates …
David Leonardo Ramos's user avatar
1 vote
1 answer
164 views

How to sample points uniformly over a region of the unit sphere

I am looking for a way to sample points uniformly around a particular point on the unit sphere. Working on spherical coordinates we can express any point on the unit sphere as $(\sin\theta \cos\phi, \ …
David Leonardo Ramos's user avatar