Topological phases supporting non-Abelian anyonic excitations have been proposed as candidates for topological quantum computation. In this paper, we study disordered non-Abelian anyonic chains based on the quantum groups SU͑2͒ k , a hierarchy that includes the =5/ 2 fractional quantum Hall state and the proposed =12/ 5 Fibonacci state, among others. We find that for odd k these anyonic chains realize infinite-randomness critical phases in the same universality class as the S k permutation symmetric multicritical points of Damle and Huse ͓Phys. Rev. Lett. 89, 277203 ͑2002͔͒. Indeed, we show that the pertinent subspace of these anyonic chains actually sits inside the Z k ʚ S k symmetric sector of the Damle-Huse model, and this Z k symmetry stabilizes the phase.
The central result is an equality connecting accounting numbers with information.
\ln \left( 1+\frac{income}{assets}\right) =r_{f}+I\left( X;Y\right)
,
r_{f}
is the risk free rate,
ln
is the natural logarithm,
Y
is the outcome of interest,
X
is the information signal about
Y
, and
I(X;Y)
is a Shannon information measure. The equality is derived using economic income accounting; it is shown to hold, under appropriate conditions, for declining balance and straight line depreciation methods. Some social welfare implications are explored.
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