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1Large deviations and occupation times for spin particle systems with long range interactions显示文摘The large deviation principle for spin particle systems with long range interactions has been studied. It is shown that most of the results in Chen J.W. and Dai Pra P. ’s previous papers can be extended to the present situation. A particularly interesting result is the variational principle which characterizes the stationary Markov measures of such systems as the zeros of the governing LD rate functions. Uniqueness of such measure is studied from this as well as other point of view. We then apply the results to the occupation times of the systems. New large deviation and convergence results are obtained.陈金文 2000Science China Mathematics2000,43,12:0
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