An article by Professor and Chair of Mathematics Robert Kantrowitz ‘82 appears in the current issue of the Rocky Mountain Journal of Mathematics.
The paper, “A fixed point approach to the steady state for stochastic matrices,” was co-authored with Michael M. Neumann of Mississippi State University. It provides two conditions, both in the spirit of classical regularity, that are equivalent to the existence of the steady state for a stochastic matrix. The development sidesteps Perron-Frobenius’ theory for non-negative matrices, hinging instead on a fixed point result from real analysis that complements Banach’s contraction mapping theorem.
Rocky Mountain Journal of Mathematics is a publication of the Rocky Mountain Mathematics Consortium (RMMC) and is published six times a year.