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- W1984124686 abstract "The solutions of Burgers equation with white noise initial velocity are closely connected to the convex hull H a of a Brownian excursion with parabolic drift s↦e s + a 2 s 2 . We derive from the law of the minimum σ and the location η of the minimum of s ↦2 e s / s (1− s ) a complete description of the convex hull H a . As an application, we determine the statistical properties of the Burgers turbulence on the circle." @default.
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- W1984124686 date "2003-07-01" @default.
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- W1984124686 title "On the convex hull of a Brownian excursion with parabolic drift" @default.
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- W1984124686 doi "https://doi.org/10.1016/s0304-4149(03)00027-9" @default.
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