The dynamics of doubly stochastic operators on finite dimensional simplex
classification
🧮 math.DS
keywords
doublystochasticsimplexdimensionalfiniteoperatoroperatorsunder
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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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