Geodesic
On the Convex Combination of Volterra Operators
Journal of convex analysis, Tome 29 (2022) no. 4, pp. 1065-1082
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We consider a convex combination of certain Volterra operators defined on the two-dimensional simplex depending on the parameter θ, 0 ≤ θ ≤ 1, and study their trajectory behaviours. We divide the set of the parameter θ into two subsets such that on the first (resp. second) of them the corresponding Volterra operator is a regular (resp. non-ergodic) transformation.
Classification : 37N25, 92D10
Mots-clés : Quadratic stochastic operator, Volterra operator, cubic stochastic operator 
@article{JCA_2022_29_4_JCA_2022_29_4_a5,
     author = {U. Jamilov},
     title = {On the {Convex} {Combination} of {Volterra} {Operators}},
     journal = {Journal of convex analysis},
     pages = {1065--1082},
     year = {2022},
     volume = {29},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2022_29_4_JCA_2022_29_4_a5/}
}
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U. Jamilov. On the Convex Combination of Volterra Operators. Journal of convex analysis, Tome 29 (2022) no. 4, pp. 1065-1082. http://geodesic.mathdoc.fr/item/JCA_2022_29_4_JCA_2022_29_4_a5/