On the ergodic theory of critical branching Markov chains

J. T. Cox

doi:10.1016/0304-4149(94)90144-9

On the ergodic theory of critical branching Markov chains

J. T. Cox

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We prove a convergence theorem for systems of critical branching Markov chains on a countable set starting in deterministic initial states.

Original language	English (US)
Pages (from-to)	1-20
Number of pages	20
Journal	Stochastic Processes and their Applications
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/0304-4149(94)90144-9
State	Published - Mar 1994

Keywords

critical branching Markov chains
invariant measures

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1016/0304-4149(94)90144-9

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title = "On the ergodic theory of critical branching Markov chains",

abstract = "We prove a convergence theorem for systems of critical branching Markov chains on a countable set starting in deterministic initial states.",

keywords = "critical branching Markov chains, invariant measures",

author = "Cox, {J. T.}",

note = "Funding Information: Correspondence to: J.T. Cox, Department of Mathematics, Syracuse University, Syracuse, NY I3244-USA. Research supported in part by the National Science Foundation and the National Security Agency.",

year = "1994",

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AB - We prove a convergence theorem for systems of critical branching Markov chains on a countable set starting in deterministic initial states.

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KW - invariant measures

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On the ergodic theory of critical branching Markov chains

Abstract

Keywords

ASJC Scopus subject areas

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