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Abstract
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We establish the conditional entropy with a coset partition and coset pressure for
subadditive potentials via separated sets on a compact metric group. Analogues of
the variational principle and thermodynamic formalism are shown in this system.
The major finding of this study consists of its presentation of the commutativity
proposition for those conjugate invariants.
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Keywords
thermodynamic formalism, coset pressure, conditional
entropy, commutativity
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Mathematical Subject Classification 2010
Primary: 28D20
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Milestones
Received: 11 December 2016
Revised: 3 September 2019
Accepted: 30 October 2019
Published: 17 March 2020
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