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arxiv: 0806.3410 · v1 · submitted 2008-06-20 · 🧮 math-ph · math.MP

The Airy₁ process is not the limit of the largest eigenvalue in GOE matrix diffusion

classification 🧮 math-ph math.MP
keywords limitairydiffusioneigenvaluelargestmatrixprocessapproach
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Using a systematic approach to evaluate Fredholm determinants numerically, we provide convincing evidence that the Airy_1-process, arising as a limit law in stochastic surface growth, is not the limit law for the evolution of the largest eigenvalue in GOE matrix diffusion.

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