Once the list of authors is ordered, we do the same process with their publications. Again your most popular publication is more likely to be at the top, but even the brand new one has a chance of appearing there.
After all the ordering is complete, we go through the list of authors one by one and put the publications that came up on top of their respective lists one after the other. This way we end up with a list of one publication from each of our authors ordered according to the probabilities we generated. The remaining publications are then ordered according to their popularity.
This way for every author there is a chance to feature on the top page and at the same time the more they contribute to the website be it via comments or via publications, the more feedback they receive from the audience, the more likely they are to appear at the top.