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Markov chains on \[{{\mathbb {Z}}^+}\] : analysis of stationary measure via harmonic functions appro...

Markov chains on \[{{\mathbb {Z}}^+}\] : analysis of stationary measure via harmonic functions appro...

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2183399991

Markov chains on \[{{\mathbb {Z}}^+}\] : analysis of stationary measure via harmonic functions approach

About this item

Full title

Markov chains on \[{{\mathbb {Z}}^+}\] : analysis of stationary measure via harmonic functions approach

Publisher

New York: Springer Nature B.V

Journal title

Queueing systems, 2019-04, Vol.91 (3-4), p.265-295

Language

English

Formats

Publication information

Publisher

New York: Springer Nature B.V

More information

Scope and Contents

Contents

We suggest a method for constructing a positive harmonic function for a wide class of transition kernels on \[{{\mathbb {Z}}^+}\]. We also find natural conditions under which this harmonic function has a positive finite limit at infinity. Further, we apply our results on harmonic functions to asymptotically homogeneous Markov chains on \[{{\mathbb...

Alternative Titles

Full title

Markov chains on \[{{\mathbb {Z}}^+}\] : analysis of stationary measure via harmonic functions approach

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2183399991

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2183399991

Other Identifiers

ISSN

0257-0130

E-ISSN

1572-9443

DOI

10.1007/s11134-019-09602-5

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