*A list of open problems as discussed during the 2013 La Mothe retreat and during ARA 2013 in Nancy.*

### Computable randomness

If \(X\) is computably random and \(Y\) is \(X\)-computably random, is \(X \oplus Y\) computably random?

[J. Miller] Is there a computably random \(X\) such that for *every* non-computable \(Y\), \(X\) is not \(Y\)-computably random?