Absolutely correct. What's happening is the increase of total energy in a titanic, global chaotic system. By definition, and even in a purely mathematical model

Absolutely correct. What's happening is the increase of total energy in a titanic, global chaotic system. By definition, and even in a purely mathematical model, you'll get more intense 'outlier' events in both range and statistical behavior. In real life, exactly the same thing happens and is happening.