The freezing property is studied in connection with the low temperature behaviour of the entropy of the Gibbs measure. In particular, from the study of a functional equation relating the free energies at two different temperatures, we prove, in the case of mean-field Gaussian spin glass model, that the maximum value of the inverse temperature beyond which the specific entropy of the Gibbs measure cannot be strictly positive is β * = 4 log 2. The low temperature behaviour of the REM's entropy is also addressed.

中文翻译：

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冻结和低温熵：平均场高斯模型的情况

结合吉布斯测度的熵的低温行为研究了冻结特性。特别是，通过研究两个不同温度下自由能的函数方程，我们证明，在平均场高斯自旋玻璃模型的情况下，逆温度的最大值超过吉布斯的比熵度量不能严格为正值是 β * = 4 log 2。REM 熵的低温行为也得到了解决。