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We evaluate the finite temperature partition sum and correlation functions ofthe Sachdev-Ye-Kitaev (SYK) model. Starting from a recently proposed mapping ofthe SYK model onto Liouville quantum mechanics, we obtain our results by exactintegration over conformal Goldstone modes reparameterizing physical time.Perhaps, the least expected result of our analysis is that at time scalesproportional to the number of particles the out of time order correlationfunction crosses over from a regime of exponential decay to a universal$t^{-6}$ power-law behavior.

Power-law out of time order correlation functions in the SYK model