| DC Field | Value | Language |
|---|---|---|
| dc.contributor | Department of Applied Mathematics | en_US |
| dc.creator | Cui, J | en_US |
| dc.creator | Liu, S | en_US |
| dc.creator | Zhou, H | en_US |
| dc.date.accessioned | 2021-11-16T07:14:01Z | - |
| dc.date.available | 2021-11-16T07:14:01Z | - |
| dc.identifier.issn | 0022-0396 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10397/91600 | - |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press | en_US |
| dc.subject | Wasserstein-Hamiltonian flow | en_US |
| dc.subject | Schrodinger bridge problem | en_US |
| dc.subject | Optimal transport | en_US |
| dc.subject | Time-inhomogeneous Markov process | en_US |
| dc.title | What is a stochastic Hamiltonian process on finite graph? An optimal transport answer | en_US |
| dc.type | Journal/Magazine Article | en_US |
| dc.identifier.spage | 428 | en_US |
| dc.identifier.epage | 457 | en_US |
| dc.identifier.volume | 305 | en_US |
| dc.identifier.doi | 10.1016/j.jde.2021.10.009 | en_US |
| dcterms.abstract | We present a definition of stochastic Hamiltonian process on finite graph via its corresponding density dynamics in Wasserstein manifold. We demonstrate the existence of stochastic Hamiltonian process in many classical discrete problems, such as the optimal transport problem, Schrödinger equation and Schrödinger bridge problem (SBP). The stationary and periodic properties of Hamiltonian processes are also investigated in the framework of SBP. | en_US |
| dcterms.accessRights | embargoed access | en_US |
| dcterms.bibliographicCitation | Journal of differential equations, 25 Dec. 2021, v. 305, p. 428-457 | en_US |
| dcterms.isPartOf | Journal of differential equations | en_US |
| dcterms.issued | 2021-12 | - |
| dc.identifier.isi | WOS:000714671800002 | - |
| dc.identifier.eissn | 1090-2732 | en_US |
| dc.description.validate | 202111 bchy | en_US |
| dc.description.oa | Not applicable | en_US |
| dc.identifier.FolderNumber | a1050-n01, a1062-n01, a1066-n01 | - |
| dc.identifier.SubFormID | 43856, 43865, 43869 | - |
| dc.description.fundingSource | Others | en_US |
| dc.description.fundingText | A0039016 | en_US |
| dc.description.pubStatus | Published | en_US |
| dc.date.embargo | 2023.12.25 | en_US |
| Appears in Collections: | Journal/Magazine Article | |
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