Fluctuations of a one-dimensional polynuclear growth model in a half space

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dc.creatorSasamoto, T.
dc.creatorImamura, T.
dc.date2003-07-01
dc.date.accessioned2026-07-07T02:52:08Z
dc.date.available2026-07-07T02:52:08Z
dc.descriptionWe consider the multi-point equal time height fluctuations of a one-dimensional polynuclear growth model in a half space. For special values of the nucleation rate at the origin, the multi-layer version of the model is reduced to a determinantal process, for which the asymptotics can be analyzed. In the scaling limit, the fluctuations near the origin are shown to be equivalent to those of the largest eigenvalue of the orthogonal/symplectic to unitary transition ensemble at soft edge in random matrix theory.
dc.description51 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0307011
dc.identifierhttp://arxiv.org/abs/cond-mat/0307011
dc.identifierJ. Stat. Phys. 115 (2004) 749-803
dc.identifierdoi:10.1023/B:JOSS.0000022374.73462.85
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21727
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectProbability
dc.titleFluctuations of a one-dimensional polynuclear growth model in a half space
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