00:53:27 Siva Athreya: question: role of center if the ball ? 00:53:34 Siva Athreya: if by off 00:55:23 Frank den Hollander: The centre is random and controlled by the principal eigenvalue. 00:58:01 Frank den Hollander: Eigenfunction I meant. 00:58:22 Siva Athreya: thanks..