Abstract
We provide two conditions, both in the spirit of classical regularity, that are equivalent to the existence of the steady state for a stochastic matrix. Our development of these characterizations sidesteps Perron-Frobenius theory for non-negative matrices, hinging instead on an elementary fixed point result that complements Banach's contraction mapping theorem.
Citation
Robert Kantrowitz. Michael M. Neumann. "A fixed point approach to the steady state for stochastic matrices." Rocky Mountain J. Math. 44 (4) 1243 - 1250, 2014. https://doi.org/10.1216/RMJ-2014-44-4-1243
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