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Measures of maximal entropy of bounded density shifts
Ergodic Theory and Dynamical Systems ( IF 0.9 ) Pub Date : 2024-02-20 , DOI: 10.1017/etds.2024.6 FELIPE GARCÍA-RAMOS , RONNIE PAVLOV , CARLOS REYES
Ergodic Theory and Dynamical Systems ( IF 0.9 ) Pub Date : 2024-02-20 , DOI: 10.1017/etds.2024.6 FELIPE GARCÍA-RAMOS , RONNIE PAVLOV , CARLOS REYES
We find sufficient conditions for bounded density shifts to have a unique measure of maximal entropy. We also prove that every measure of maximal entropy of a bounded density shift is fully supported. As a consequence of this, we obtain that bounded density shifts are surjunctive.
中文翻译:
有界密度变化的最大熵的测量
我们找到了有界密度位移的充分条件,以对最大熵进行独特的测量。我们还证明了有界密度偏移的最大熵的每个度量都得到完全支持。因此,我们得出有界密度平移是相合的。
更新日期:2024-02-20
中文翻译:
有界密度变化的最大熵的测量
我们找到了有界密度位移的充分条件,以对最大熵进行独特的测量。我们还证明了有界密度偏移的最大熵的每个度量都得到完全支持。因此,我们得出有界密度平移是相合的。