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cond-mat.soft2000
Theory of Ideal Four-Wave Mixing in Bose-Einstein Condensates
Wenji Deng, P. M. Hui
Starting from a second-quantized Hamiltonian of many-particle systems, we derive the Gross-Pitaevskii (GP) equation in momentum space, which is suitable for studying the multi-wave…
cond-mat2000
Stochastic strategies in the Minority Game
M. Hart, P. Jefferies, N. F. Johnson +1
We show analytically how the fluctuations (i.e. standard deviation) in the Minority Game (MG) can decrease below the random coin-toss limit if the agents use more general, stochast…
cond-mat2000
Crowd-anticrowd model of the Minority Game
M. Hart, P. Jefferies, N. F. Johnson +1
We provide a theoretical description of the Minority Game in terms of crowd effects. The size of the fluctuations arising in the game is controlled by the interplay between crowds…