# Smooth {R}enyi Entropy and Applications

## Renato Renner and Stefan Wolf

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```We introduce a new entropy measure, called smooth Renyi entropy. The
measure characterizes fundamental properties of a random variable Z,
such as the amount of uniform randomness that can be extracted from Z
or the minimum length of an encoding of Z. In particular, for the
important case of many independent realizations of the same random
experiment, smooth entropy converges to Shannon entropy.