A Billingsley type theorem for Bowen entropy

作者：Ma Ji Hua^*; Wen Zhi Ying

来源：Comptes Rendus Mathematique, 2008, 346(9-10): 503-507.

DOI：10.1016/j.crma.2008.03.010

For subsets of a metric space with a continuous map, Bowen introduced a notion of entropy. In this Note we show that the Bowen entropy can be determined via the local entropies of measures. This result can be considered as an analogue of Billingsley's Theorem for the Hausdorff dimension.

• 出版日期2008-5
• 单位武汉大学