Nonnegative matrices with stochastic powers

Matrices with nonnegative elements, which are nonstochastic but have stochastic powers, are considered. These matrices are characterized in the irreducible case and in the symmetric one. This paper represents part of a thesis submitted to the Senate of the Technion-Israel Institute of Technology in partial fulfillment of the requirements for the degree of Doctor of Science. The author wishes to thank Professor B. Schwarz for his guidance in the preparation of this paper.