| Avila used approaches from dynamical systems theory in this work, including renormalization techniques. |
| He wrote that Feynman's diagrams were not just a computational tool but a physical theory, and he developed rules for the diagrams that solved the problem of renormalization. |
| Paired with parametric integration via hyperlogarithms, this method is particularly well suited for the computation of renormalization group functions and easily automated. |
| The solution was a trick called renormalization, worked out by Feynman, Julian Schwinger, Sin-Itiro Tomonaga and Freeman Dyson. |
| The basic idea of this new story about renormalization is that the influences of higher energy processes are localizable in a few structural properties which can be captured by an adjustment of parameters. |
| So, to the extent that the repricing of credit risk that we have seen in recent months has, in fact, been a renormalization of the value of risk, these events are to be welcomed. |
