(1) Department of Mathematics, Howard University, 20059 Washington, D.C., USA;(2) Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100 Rehovot, Israel
Abstract:
A certain Markov chain which was encountered by T. L. Hill in the study of the kinetics of a linear array of enzymes is studied. An explicit formula for the steady state probabilities is given and some conjectures raised by T. L. Hill are proved.