Geodesic
Concerning the Minimum Function of a Stochastic Matrix
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 745-748

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A square matrix is said to be stochastic if its elements are non-negative and if each of its row sums is equal to one. Thus λ = 1 is always an eigenvalue of a stochastic matrix. 
Sinkhorn, Richard. Concerning the Minimum Function of a Stochastic Matrix. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 745-748. doi: 10.4153/CMB-1967-079-5
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     title = {Concerning the {Minimum} {Function} of a {Stochastic} {Matrix}},
     journal = {Canadian mathematical bulletin},
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     year = {1967},
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     number = {5},
     doi = {10.4153/CMB-1967-079-5},
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