covariance proportional to a constant that is called temperature in physics and if that constant t is equal to 1 then this is the logic algorithm that is guaranteed at exponentially large times to sample the boltzmann measure and to solve the problem optimally but we will not be looking at exponentially large times because that's untractable our question will be what happens attractable time so that will be constant on constant times logarithm of the dimension or something of that kind so that you know we can wait for such a long