Huseyin Erturk, UNC Charlotte
Title: Random Energy Model Using Order Statistics
Abstract: The famous random energy model (REM) was introduced by Derrida. Eisele demonstrated the phase transitions (non-analiticity) of free energy in the class of Weibull-type distributions. We show similar results for a relatively heavy tailed distribution and the relatively light tailed double exponential distribution. We make use of order statistics, MacLaurin series, and the Laplace method. Also, we show that there are several critical points for mixed Weibull distributions.