We present a closed form expression for the capacity of the uniform noise rewritable channel with average write cost and a constraint on the input range. We show the existence of a critical cost κ 0  such that for all costs κ ≥ κ 0 , the capacity/cost tradeoff is given by an offset added to the logarithm of the cost. Assuming κ 0  > 1, for 1 ≤ κ  0  the capacity/cost tradeoff grows faster than a logarithm.
['Luis A. Lastras-Montano', 'Michele M. Franceschini', 'Thomas Mittelholzer']
The capacity of the uniform noise rewritable channel with average cost