Random Functions via Dyson Brownian Motion: Progress and Problems

Understand

We develope a computationally efficient extension of the Dyson Brownian Motion (DBM) algorithm to generate random function in C2 locally.

• We further explain that random functions generated via DBM show an unstable growth as the traversed distance increases.
• This feature restricts the use of such functions considerably if they are to be used to model globally defined ones.
• The latter is the case if one uses random functions to model landscapes in string theory.