Complex random energy model : zeros and fluctuations
نویسندگان
چکیده
The partition function of the random energy model at inverse temperature β is defined by ZN (β) = ∑N k=1 exp(β √ nXk), where X1, X2, . . . are independent real standard normal random variables, and n = logN . We identify the asymptotic structure of complex zeros of ZN , as N → ∞, confirming predictions made in the theoretical physics literature. Also, we describe the limiting complex fluctuations for a model generalizing ZN (β).
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تاریخ انتشار 2017