Concentration results for a Brownian directed percolation problem
We consider the hydrodynamic limit for a certain Brownian directed percolation model, and establish uniform concentration results. In view of recent work on the connection between this directed percolation model and eigenvalues of random matrices, our results can also be interpreted as uniform conce...
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| Format: | Journal article |
| Language: | English |
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2002
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| _version_ | 1797060027045904384 |
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| author | Hambly, B Martin, J O'Connell, N |
| author_facet | Hambly, B Martin, J O'Connell, N |
| author_sort | Hambly, B |
| collection | OXFORD |
| description | We consider the hydrodynamic limit for a certain Brownian directed percolation model, and establish uniform concentration results. In view of recent work on the connection between this directed percolation model and eigenvalues of random matrices, our results can also be interpreted as uniform concentration results at the process level for the largest eigenvalue of Hermitian Brownian motion. © 2002 Elsevier Science B.V. All rights reserved. |
| first_indexed | 2024-03-06T20:11:59Z |
| format | Journal article |
| id | oxford-uuid:2ae1a732-8e2f-4697-b4a8-ff53a0f9eff3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:11:59Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:2ae1a732-8e2f-4697-b4a8-ff53a0f9eff32022-03-26T12:27:40ZConcentration results for a Brownian directed percolation problemJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2ae1a732-8e2f-4697-b4a8-ff53a0f9eff3EnglishSymplectic Elements at Oxford2002Hambly, BMartin, JO'Connell, NWe consider the hydrodynamic limit for a certain Brownian directed percolation model, and establish uniform concentration results. In view of recent work on the connection between this directed percolation model and eigenvalues of random matrices, our results can also be interpreted as uniform concentration results at the process level for the largest eigenvalue of Hermitian Brownian motion. © 2002 Elsevier Science B.V. All rights reserved. |
| spellingShingle | Hambly, B Martin, J O'Connell, N Concentration results for a Brownian directed percolation problem |
| title | Concentration results for a Brownian directed percolation problem |
| title_full | Concentration results for a Brownian directed percolation problem |
| title_fullStr | Concentration results for a Brownian directed percolation problem |
| title_full_unstemmed | Concentration results for a Brownian directed percolation problem |
| title_short | Concentration results for a Brownian directed percolation problem |
| title_sort | concentration results for a brownian directed percolation problem |
| work_keys_str_mv | AT hamblyb concentrationresultsforabrowniandirectedpercolationproblem AT martinj concentrationresultsforabrowniandirectedpercolationproblem AT oconnelln concentrationresultsforabrowniandirectedpercolationproblem |