On mixing in the class of quadratic stochastic operators

Bartoszek, Wojciech; Pułka, Małgorzata

doi:10.1016/j.na.2013.03.011

Cited by 23 publications

(32 citation statements)

References 16 publications

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“…[4,7]) that V(μ) − V(ν) TV ≤ 2 μ − ν TV for all μ, ν ∈ P(S), so V is a continuous transformation for the total variation norm · TV topology. Moreover, if it is Feller, then V is continuous on P(S) for the Fortet-Mourier norm; i.e.…”

Section: Basics On Quadratic Stochastic Operatorsmentioning

confidence: 99%

“…To connect our results with other contemporary studies we recall (cf. [4,7]) the following notions: Definition 2. 3 We say that a q.s.o.…”

Section: Definition 22 We Say That a Qso V: P(s) × P(s) → P(s) Ismentioning

confidence: 99%

“…and their geometric structure have been recently described in [4,5,7]. The weak mixing is studied in [6].…”

Section: Definition 22 We Say That a Qso V: P(s) × P(s) → P(s) Ismentioning

confidence: 99%

“…His seminal report [28] prompted for many theoretical publications (cf. [4][5][6][7]11,12,16,20,21,29]), monographs (cf. [13,23]) and computer supported mathematical projects (cf.…”

Section: Introductionmentioning

confidence: 99%

“…In [24] the author studies nonhomogeneous Markov chains on ordered Banach spaces which are strongly linked to some picture of quadratic stochastic operators. Namely, as it has been proved in [7], generated by a quadratic stochastic operator V the so-called associated Markov chains may be efficiently used to determine the behavior of V n .…”

Section: Introductionmentioning

confidence: 99%

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Quadratic stochastic operators on Banach lattices

Badocha

Bartoszek

2017

Positivity

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Section: Basics On Quadratic Stochastic Operatorsmentioning

confidence: 99%

“…To connect our results with other contemporary studies we recall (cf. [4,7]) the following notions: Definition 2. 3 We say that a q.s.o.…”

Section: Definition 22 We Say That a Qso V: P(s) × P(s) → P(s) Ismentioning

confidence: 99%

“…and their geometric structure have been recently described in [4,5,7]. The weak mixing is studied in [6].…”

Section: Definition 22 We Say That a Qso V: P(s) × P(s) → P(s) Ismentioning

confidence: 99%

“…His seminal report [28] prompted for many theoretical publications (cf. [4][5][6][7]11,12,16,20,21,29]), monographs (cf. [13,23]) and computer supported mathematical projects (cf.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations