Corrigendum to "Nonabelian free group actions: Markov processes, the Abramov- Rohlin formula and Yuzvinskii's formula"
Lewis Bowen, Yonatan Gutman
TL;DR
This paper corrects errors in the proofs of key formulas related to free group actions, specifically the Rohlin-Abramov and Yuzvinskii formulas, highlighting unresolved issues in the latter.
Contribution
It provides corrections to the proofs of the Rohlin-Abramov formula and discusses unresolved errors in Yuzvinskii's formula for free group actions.
Findings
Corrected proof of Rohlin-Abramov formula
Identified errors in Yuzvinskii's formula
Unresolved status of Yuzvinskii's formula errors
Abstract
We correct an error in the proof of the Rohlin-Abramov addition formula for free group actions and point out errors in the proof of Yuzvinskii's addition formula. It is not known if the latter are fixable.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Markov Chains and Monte Carlo Methods · Quantum chaos and dynamical systems