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Speaker:

Jian Li
Affiliation:

Shantou U\MPI
Date:

Mon, 2014-06-16 15:00 - 16:00
Location:

MPIM Lecture Hall
Parent event:

Dynamics and Numbers In this talk, we study equicontinuity and sensitivity in the mean sense.

We show that every ergodic invariant measure of a mean equicontinuous

(i.e. mean-L-stable) system has discrete spectrum. Dichotomy results related

to mean equicontinuity and mean sensitivity are obtained when a dynamical

system is transitive or minimal. Localizing the notion of mean equicontinuity,

notions of almost mean equicontinuity and almost Banach mean equicontinuity

are introduced. It turns out that a system with the former property may have

positive entropy and meanwhile a system with the later property must have

zero entropy.

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Li_1606.pdf | 99.75 KB |

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