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nlin.CD2003★ 2 cited
Multifractality of the Feigenbaum attractor and fractional derivatives
U. Frisch, K. Khanin, T. Matsumoto
It is shown that fractional derivatives of the (integrated) invariant measure of the Feigenbaum map at the onset of chaos have power-law tails in their cumulative distributions, wh…
nlin.CD2002★ 15 cited
Forced Burgers Equation in an Unbounded Domain
J. Bec, K. Khanin
The inviscid Burgers equation with random and spatially smooth forcing is considered in the limit when the size of the system tends to infinity. For the one-dimensional problem, it…