Title: Significant folding of random sequences Niels Richard Hansen Department of Statistics and Operations Research University of Copenhagen Abstract: Small RNA-molecules, many with unknown function, have recently been found in great numbers. A class of them baptised micro-RNA's is believed to regulate the expression of protein coding genes, and in a pre-functioning state they seem to have a typical fold-back structure. It is of great interest to be able to search entire genomes by computational methods to identify potential micro-RNA's, and one could look for small segments of the genome with a fold-back structure comparable to the known micro-RNA's. In several empirical studies it has, however, been shown that the structure of a small RNA-molecule does not distinguish the RNA-sequence significantly from a random sequence. In the talk, I will show some theoretical work on the formation of certain fold-back structures in random (iid. and Markov) sequences, and for the size and structure of typical micro-RNA's, the results confirm earlier studies; that the fold-back structure alone is not significant for small RNA-molecules. An idea for searching for small functional RNA-molecules in entire genomes based on structure as well as evolutionary conservation in two different genomes will also be discussed.