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In this paper, Wang's log-Harnack inequality and exponential ergodicity arederived for two types of distribution dependent SDEs: one is the CKLS model,where the diffusion coefficient is a power function of order $\theta$ with$\theta\in[\frac{1}{2},1)$; the other one is Vasicek model, where the diffusioncoefficient only depends on distribution. Both models in the distributionindependent case can be used to characterize the interest rate in mathematicalfinance.

Log-Harnack Inequality and Exponential Ergodicity for Distribution Dependent CKLS and Vasicek Model