How Long to Read Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems

How Long Does it Take to Read Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems?

It takes the average reader 1 hour and 30 minutes to read Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems by Wilfrid Gangbo

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

Description

Let $\mathcal{M}$ denote the space of probability measures on $\mathbb{R}^D$ endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in $\mathcal{M}$ was introduced by Ambrosio, Gigli, and Savare. In this paper the authors develop a calculus for the corresponding class of differential forms on $\mathcal{M}$. In particular they prove an analogue of Green's theorem for 1-forms and show that the corresponding first cohomology group, in the sense of de Rham, vanishes. For $D=2d$ the authors then define a symplectic distribution on $\mathcal{M}$ in terms of this calculus, thus obtaining a rigorous framework for the notion of Hamiltonian systems as introduced by Ambrosio and Gangbo. Throughout the paper the authors emphasize the geometric viewpoint and the role played by certain diffeomorphism groups of $\mathbb{R}^D$.

How long is Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems?

Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems by Wilfrid Gangbo is 90 pages long, and a total of 22,500 words.

This makes it 30% the length of the average book. It also has 27% more words than the average book.

How Long Does it Take to Read Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 2 minutes to read Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems aloud.

What Reading Level is Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems?

Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems 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.

Where Can I Buy Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems?

Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems by Wilfrid Gangbo is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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