Sofic measure entropy via finite partitions
By David Kerr. 2011
58 citations recorded by the source corpus.
We give a generator-free formulation of sofic measure entropy using finite partitions and establish a Kolmogorov-Sinai theorem. We also show how to compute the values for general Bernoulli actions in a concise way using the arguments of Bowen in the finite base case.
Subfields: Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/6b63fb08ee11907040545e2fa3160ae2b0bc2d59
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In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- Fuglede–Kadison Determinants and Sofic Entropy (2014, methodology): “We will also need the definition of measure-theoretic entropy without using a topological model (essentially due to David Kerr in [21] as a generalization of Lewis Bowen’s definition in [4]).”
- Combinatorial Independence and Sofic Entropy (2012, unknown): “D S] 6 J an 2 01”