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20152026
most citedThe hop-like problem nature -- unveiling and modelling new features of real-world problems

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math.DS2015

Shearer's inequality and Infimum Rule for Shannon entropy and topological entropy

Tomasz Downarowicz, Bartosz Frej, Pierre-Paul Romagnoli

We review subbadditivity properties of Shannon entropy, in particular, from the Shearer's inequality we derive the "infimum rule" for actions of amenable groups. We briefly discuss…