  Suppose that, at some time \(t=0\), the function attain a certain value \(H_0\), well above the minimum value. Now, Boltzmann says, two[13] cases are possible for the evolution of \(H\) in time. (a) \(H_0\) lies at or near the top of a peak. Then \(H(t)\) will decrease, whether we move away in either the positive are negative time direction. (b) \(H_0\) lies on an ascending or descending part of the curve, so that \(H(t)\) decreases or increases. But, because of (iii), case (a) is much more probable than case (b). Hence, Boltzmann says, 