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Markov chains in the domain of attraction of Brownian motion in cones

Markov chains in the domain of attraction of Brownian motion in cones

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2870185750

Markov chains in the domain of attraction of Brownian motion in cones

About this item

Full title

Markov chains in the domain of attraction of Brownian motion in cones

Author / Creator

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2023-09

Language

English

Formats

Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

More information

Scope and Contents

Contents

We consider a multidimensional Markov Chain \(X\) converging to a multidimensional Brownian Motion. We construct a positive harmonic function for \(X\) killed on exiting the cone. We show that its asymptotic behavior is similar to that of to the harmonic function of Brownian motion. We use the harmonic function to study the asymptotic behaviour of...

Alternative Titles

Full title

Markov chains in the domain of attraction of Brownian motion in cones

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2870185750

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2870185750

Other Identifiers

E-ISSN

2331-8422

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