How Long to Read Dynamical Systems of Algebraic Origin

By Klaus Schmidt

How Long Does it Take to Read Dynamical Systems of Algebraic Origin?

It takes the average reader 5 hours and 26 minutes to read Dynamical Systems of Algebraic Origin by Klaus Schmidt

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

Description

Although much of classical ergodic theory is concerned with single transformations and one-parameter flows, the subject inherits from statistical mechanics not only its name, but also an obligation to analyze spatially extended systems with multidimensional symmetry groups. However, the wealth of concrete and natural examples which has contributed so much to the appeal and development of classical dynamics, is noticeably absent in this more general theory. The purpose of this book is to help remedy this scarcity of explicit examples by introducing​ a class of continuous Zd-actions diverse enough to exhibit many of the new phenomena encountered in the transition from Z to Zd, but which nevertheless lends itself to systematic study: the Zd-actions by automorphisms of compact, abelian groups. One aspect of these actions, not surprising in itself but quite striking in its extent and depth nonetheless, is the connection with commutative algebra and arithmetical algebraic geometry. The algebraic framework resulting from this connection allows the construction of examples with a variety of specified dynamical properties, and by combining algebraic and dynamical tools one obtains a quite detailed understanding of this class of Zd-actions.

How long is Dynamical Systems of Algebraic Origin?

Dynamical Systems of Algebraic Origin by Klaus Schmidt is 323 pages long, and a total of 81,719 words.

This makes it 109% the length of the average book. It also has 100% more words than the average book.

How Long Does it Take to Read Dynamical Systems of Algebraic Origin Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 26 minutes to read Dynamical Systems of Algebraic Origin aloud.

What Reading Level is Dynamical Systems of Algebraic Origin?

Dynamical Systems of Algebraic Origin is suitable for students ages 12 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 Dynamical Systems of Algebraic Origin?

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