How Long to Read Criteria for Rank-one Transformations to be Weakly Mixing, and the Generating Property

How Long Does it Take to Read Criteria for Rank-one Transformations to be Weakly Mixing, and the Generating Property?

It takes the average reader 1 hour and 15 minutes to read Criteria for Rank-one Transformations to be Weakly Mixing, and the Generating Property by Andrew-David Bjork

Assuming a reading speed of 250 words per minute. Learn more

Description

We begin with some joint results with Foreman that establish the Borel complexity of the measure preserving homeomorphisms inside the space of measure preserving transformations on the unit circle. We give the relationships between various topologies on the space of measure preserving transformations. We then turn our attention to results in Ergodic Theory. Consider a standard Lebesgue probability space X with an invertible measure preserving transformation T. If T is isomorphic to a transformation obtained by a rank-1 cutting and stacking construction, there is a natural measurable partition of X into the set corresponding to the original interval at the first stage of the construction called Omega (sub) 0 and its complement. The original motivation for this research is to investigate whether the weak mixing property is sufficient to prove that the partition (Omega (sub) 0, X (slash) Omega (sub) 0) generates. Though we cannot answer this question, we give some specific examples that encourage this notion, and some partial results. We give a construction for a family of non-weak mixing transformations. We then give a sufficient condition for transformations to be weakly mixing.

How long is Criteria for Rank-one Transformations to be Weakly Mixing, and the Generating Property?

Criteria for Rank-one Transformations to be Weakly Mixing, and the Generating Property by Andrew-David Bjork is 74 pages long, and a total of 18,796 words.

This makes it 25% the length of the average book. It also has 23% more words than the average book.

How Long Does it Take to Read Criteria for Rank-one Transformations to be Weakly Mixing, and the Generating Property Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 42 minutes to read Criteria for Rank-one Transformations to be Weakly Mixing, and the Generating Property aloud.

What Reading Level is Criteria for Rank-one Transformations to be Weakly Mixing, and the Generating Property?

Criteria for Rank-one Transformations to be Weakly Mixing, and the Generating Property is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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