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Monte Carlo methods

Markov chain Monte Carlo (Wikipedia)

Wang-Landau algorithm (Wikipedia)

Metropolis-Hastings algorithm (Wikipedia)

Gibbs sampling (Wikipedia)

Rejection sampling (Wikipedia)


C Robert, G Casella, Monte Carlo Statistical Methods (Springer, 2004), 2ed – google

D P Landau, K Binder, A guide to Monte Carlo simulations in statistical physics (CUP, 2000), 2ed

K Binder, Applications of Monte Carlo methods to statistical physics, RPP 60, 487 (1997)


M S Shell, P G Debenedetti, A Z Panagiotopoulos, An improved Monte Carlo method for direct calculation of the density of states, JCP 119, 9406 (2003)

N Prokofev, B Svistunov, Worm algorithms for classical statistical models, PRL 87, 160601 (2001)

R Assaraf, M Caffarel, Zero-variance principle for Monte Carlo algorithms, PRL 83, 4682 (1999)