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Your search keyword '"birth-and-death process"' showing total 2 results
Start Over Descriptor "birth-and-death process" Publisher maria curie-sklodowska university in lublin
2 results on '"birth-and-death process"'

1. A continuum individual based model of fragmentation: dynamics of correlation functions.

Author

TANAŚ, AGNIESZKA

Subjects
*STATISTICAL correlation, *PHASE space, *EVOLUTION equations
Abstract

An individual-based model of an infinite system of point particles in Rd is proposed and studied. In this model, each particle at random produces a finite number of new particles and disappears afterwards. The phase space for this model is the set Γ of all locally finite subsets of Rd. The system's states are probability measures on Γ the Markov evolution of which is described in terms of their correlation functions in a scale of Banach spaces. The existence and uniqueness of solutions of the corresponding evolution equation are proved. [ABSTRACT FROM AUTHOR]

Published
2016
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2. A continuum individual based model of fragmentation: dynamics of correlation functions.

Author

TANAŚ, AGNIESZKA

Subjects
*EVOLUTION equations, *BANACH spaces, *DIRAC function, *FOKKER-Planck equation, *POLISH spaces (Mathematics)
Abstract

An individual-based model of an infinite system of point particles in Rd is proposed and studied. In this model, each particle at random produces a finite number of new particles and disappears afterwards. The phase space for this model is the set Г of all locally finite subsets of Rd. The system's states are probability measures on Г the Markov evolution of which is described in terms of their correlation functions in a scale of Banach spaces. The existence and uniqueness of solutions of the corresponding evolution equation are proved. [ABSTRACT FROM AUTHOR]

Published
2015
Full Text
View/download PDF

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