Higher order asymptotics for large deviations -- Part II

dc.contributor.author

Fernando, K

dc.contributor.author

Hebbar, P

dc.date.accessioned

2019-09-18T13:57:40Z

dc.date.available

2019-09-18T13:57:40Z

dc.date.updated

2019-09-18T13:57:39Z

dc.description.abstract

We obtain asymptotic expansions for the large deviation principle (LDP) for continuous time stochastic processes with weakly dependent increments. As a key example, we show that additive functionals of solutions of stochastic differential equations (SDEs) satisfying H"ormander condition on a $d-$dimensional compact manifold admit these asymptotic expansions of all orders.

dc.identifier.uri

https://hdl.handle.net/10161/19321

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World Scientific Pub Co Pte Lt

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math.PR

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math.PR

dc.subject

60F10 (Primary) 60G51, 60H10 (Secondary)

dc.title

Higher order asymptotics for large deviations -- Part II

dc.type

Journal article

duke.contributor.orcid

Hebbar, P|0000-0002-4938-7264

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

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