Most if not all cams have what is referred to as a quietening ramp. The idea of this is to take up the valve clearance gently before the actual valve opening ramp comes into play. If you didn't have this you would probably get shock loading on the cam and followers which would cause excessive wear as well as a lot of noise.
This is why valves get noisy if the clearances are too large.
If you plot the follower lift vs cam rotation using a degree wheel you will get 2 different lift rates, the first of which is the quietening ramp rate.
The thermal expansion is taken care of by the difference in hot and cold clearances when adjusting the valves.
Hope this helps.
RonR