The inertial-range scaling laws of fully developed turbulence are desc
ribed in terms of scalings of a sequence of moment ratios of the energ
y dissipation field epsilon(l) coarse grained at inertial-range scale
l. These moment ratios epsilon(l)(p) = [epsilon(l)p] (p = 0, 1, 2,...,
) form a hierarchy of structures. The most singular structures epsilon
(l)(infinity) are assumed to be filaments, and it is argued that epsil
on(l)infinity approximately l-2/3. Furthermore, a universal relation b
etween scalings of successive structures is postulated, which leads to
a prediction of the entire set of the scaling exponents: [epsilon(l)p
] approximately l(tau)p, tau(p) = -2/3p + 2[1 - (2/3)p] and [deltav(l)
p] approximately l(zetap), zeta(p) = p/9 + 2[1 - (2/3)p/3].