Geodesic
Properties of stochastic operators of order $\nu$ on a finite-dimensional simplex
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 4, pp. 651-659

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The necessary and sufficient conditions for stochasticity and bistochasticity of positive operators were analyzed. Key criteria for stochasticity of continuous positive operators in $\mathbb{R}^{m}$ were proved. The necessary and sufficient condition for these operators to be referred to as bistochastic was established.
Keywords: stochastic operator, bistochastic operator, cone, positive operator, rearrangements of cone element. 
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     author = {Yu. Kh. \`Eshkabilov and J. Z. Istamov},
     title = {Properties of stochastic operators of order $\nu$ on a finite-dimensional simplex},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {166},
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     year = {2024},
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     url = {http://geodesic.mathdoc.fr/item/UZKU_2024_166_4_a13/}
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Yu. Kh. Èshkabilov; J. Z. Istamov. Properties of stochastic operators of order $\nu$ on a finite-dimensional simplex. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 4, pp. 651-659. http://geodesic.mathdoc.fr/item/UZKU_2024_166_4_a13/