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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Bibliographic Details
Main Authors: Hambly, B, Martin, J, O'Connell, N
Format: Journal article
Language:English
Published: 2002
Description
Summary: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.