The dynamics of doubly stochastic operators on finite dimensional simplex

Published 24 Nov 2012 in math.DS | (1211.5639v3)

Abstract: We define a doubly stochastic operator on a finite dimensional simplex and study the limit behavior of the trajectories under doubly stochastic operators. We prove that except for certain points, the trajectory of a point, under the doubly stochastic operator, tends to the center of the simplex.

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