Limit averages of continuous functions under the action of cellular automata

作者：Liu, Weibin^*; Ma, Jihua

来源：Monatshefte fur Mathematik, 2016, 181(4): 869-874.

DOI：10.1007/s00605-015-0869-6

• Cellular automata
• Automata average

We consider averages of continuous functions under the action of cellular automata, which were proposed by Boyle, Lind and Rudolph in 1988. It is proved that, at non-shift-periodic points, the averages converge point-wisely to the integration with respect to the uniform Bernoulli measure.

• 出版日期2016-12
• 单位武汉大学