  We compute thermal 2-point correlation functions in the black brane $AdS_5$
background dual to 4d CFT's at finite temperature for operators of large
scaling dimension. We find a formula that matches the expected structure of the
OPE. It exhibits an exponentiation property, whose origin we explain. We also
compute the first correction to the two-point function due to graviton
emission, which encodes the proper time from the event horizon to the black
hole singularity.
