Two footnotes to a theorem of Ray
John B. Walsh (1971)
Séminaire de probabilités de Strasbourg
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John B. Walsh (1971)
Séminaire de probabilités de Strasbourg
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Jacek Banasiak (2003)
Banach Center Publications
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We shall present necessary and sufficient conditions for both conservativity and uniqueness of solutions to birth-and-death system of equations using methods of semigroup theory. The derived conditions correspond to the uniqueness criteria for forward and backward birth-and-death systems due to Reuter, [10,11,1], that were derived in a different context by Markov processes' techniques.
Sergei E. Kuznetsov (1992)
Séminaire de probabilités de Strasbourg
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Ryszard Rudnicki (2000)
Applicationes Mathematicae
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This note contains a survey of recent results concerning asymptotic properties of Markov operators and semigroups. Some biological and physical applications are given.
Joseph Glover (1991)
Annales de l'I.H.P. Probabilités et statistiques
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Masao Nagasawa (1975)
Séminaire de probabilités de Strasbourg
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Steven N. Evans (1991)
Annales de l'I.H.P. Probabilités et statistiques
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R. K. Getoor, J. Steffens (1987)
Annales de l'I.H.P. Probabilités et statistiques
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