Cesaro limit and ergodicity of locally eventually periodic measures

PIMS-MPrime Summer School in Probability

授课人:Felipe Garcia-ramos

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Probability;    Rranslation Invariant Deterministic Dynamics;   

加拿大|英语

【 摘 要 】

We study translation invariant deterministic dynamics (phi) on the lattice (cellular automata). In particular the evolution and limit of probability measures that give the set of locally eventually phi-periodic points full measure. We prove the convergence of the mean averages under phi of this measures. We characterize the ergodicity of the limit measures (solving a question posed by Blanchard and Tisseur) and we prove that in the limit phi is a mixture measure theoretical odometers.

【 授权许可】

CC BY-NC-ND   
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