Mahola M. The value distribution of random analytic functions.

The value distribution of random analytic functions is studied in the thesis. In particular, the asymptotic relations, which describe the distribution of zeroes of random analytic functions, are stated there. As a consequence, it is proved that zero almost surely is not the exceptional Valiron value of a random analytic function. The asymptotic inequalities, which characterize the value distribution of random analytic functions, are proved. Also for such functions the growth of the integrated counting function for a-points on the both small and large sets is described. It is obtained the asymptotic relations, which characterize the angular distribution of zeroes of random analytic functions. It is solved the problem about the angular value distribution of random analytic functions. In particular, the growth of the angular integrated counting function for a-points is described for such functions on the both small and large sets