Well… If you are in Purgatory, you will eventually enter Paradiso (=Heaven), and for t→+∞ the ratio between the time spent in Paradiso and Purgatorio will diver

Well… If you are in Purgatory, you will eventually enter Paradiso (=Heaven), and for t→+∞ the ratio between the time spent in Paradiso and Purgatorio will diverge in favor of the former!