How Long to Read Hypercontractivity in Group von Neumann Algebras

By Marius Junge

How Long Does it Take to Read Hypercontractivity in Group von Neumann Algebras?

It takes the average reader 1 hour and 23 minutes to read Hypercontractivity in Group von Neumann Algebras by Marius Junge

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

Description

In this paper, the authors provide a combinatorial/numerical method to establish new hypercontractivity estimates in group von Neumann algebras. They illustrate their method with free groups, triangular groups and finite cyclic groups, for which they obtain optimal time hypercontractive inequalities with respect to the Markov process given by the word length and with an even integer. Interpolation and differentiation also yield general hypercontrativity for via logarithmic Sobolev inequalities. The authors' method admits further applications to other discrete groups without small loops as far...

How long is Hypercontractivity in Group von Neumann Algebras?

Hypercontractivity in Group von Neumann Algebras by Marius Junge is 83 pages long, and a total of 20,999 words.

This makes it 28% the length of the average book. It also has 26% more words than the average book.

How Long Does it Take to Read Hypercontractivity in Group von Neumann Algebras Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 54 minutes to read Hypercontractivity in Group von Neumann Algebras aloud.

What Reading Level is Hypercontractivity in Group von Neumann Algebras?

Hypercontractivity in Group von Neumann Algebras is suitable for students ages 10 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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