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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 …
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, \ …