How Long to Read Homogeneous Flows, Moduli Spaces, and Arithmetic

How Long Does it Take to Read Homogeneous Flows, Moduli Spaces, and Arithmetic?

It takes the average reader 7 hours and 35 minutes to read Homogeneous Flows, Moduli Spaces, and Arithmetic by Clay Mathematics Institute. Summer School

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

Description

This book contains a wealth of material concerning two very active and interconnected directions of current research at the interface of dynamics, number theory and geometry. Examples of the dynamics considered are the action of subgroups of $\mathrm{SL}(n,\mathbb{R})$ on the space of unit volume lattices in $\mathbb{R}^n$ and the action of $\mathrm{SL}(2,\mathbb{R})$ or its subgroups on moduli spaces of flat structures with prescribed singularities on a surface of genus $\ge 2$. Topics covered include the following: (a) Unipotent flows: non-divergence, the classification of invariant measures, equidistribution, orbit closures. (b) Actions of higher rank diagonalizable groups and their invariant measures, including entropy theory for such actions. (c) Interval exchange maps and their connections to translation surfaces, ergodicity and mixing of the Teichmuller geodesic flow, dynamics of rational billiards. (d) Application of homogeneous flows to arithmetic, including applications to the distribution of values of indefinite quadratic forms at integral points, metric Diophantine approximation, simultaneous Diophantine approximations, counting of integral and rational points on homogeneous varieties. (e) Eigenfunctions of the Laplacian, entropy of quantum limits, and arithmetic quantum unique ergodicity. (f) Connections between equidistribution and automorphic forms and their $L$-functions. The text includes comprehensive introductions to the state-of-the-art in these important areas and several surveys of more advanced topics, including complete proofs of many of the fundamental theorems on the subject. It is intended for graduate students and researchers wishing to study these fields either for their own sake or as tools to be applied in a variety of fields such as arithmetic, Diophantine approximations, billiards, etc.

How long is Homogeneous Flows, Moduli Spaces, and Arithmetic?

Homogeneous Flows, Moduli Spaces, and Arithmetic by Clay Mathematics Institute. Summer School is 452 pages long, and a total of 113,904 words.

This makes it 153% the length of the average book. It also has 139% more words than the average book.

How Long Does it Take to Read Homogeneous Flows, Moduli Spaces, and Arithmetic Aloud?

The average oral reading speed is 183 words per minute. This means it takes 10 hours and 22 minutes to read Homogeneous Flows, Moduli Spaces, and Arithmetic aloud.

What Reading Level is Homogeneous Flows, Moduli Spaces, and Arithmetic?

Homogeneous Flows, Moduli Spaces, and Arithmetic 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 Homogeneous Flows, Moduli Spaces, and Arithmetic?

Homogeneous Flows, Moduli Spaces, and Arithmetic by Clay Mathematics Institute. Summer School 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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