How Long to Read Entropy, Large Deviations, and Statistical Mechanics

How Long Does it Take to Read Entropy, Large Deviations, and Statistical Mechanics?

It takes the average reader 6 hours and 12 minutes to read Entropy, Large Deviations, and Statistical Mechanics by Richard.S. Ellis

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

Description

This book has two main topics: large deviations and equilibrium statistical mechanics. I hope to convince the reader that these topics have many points of contact and that in being treated together, they enrich each other. Entropy, in its various guises, is their common core. The large deviation theory which is developed in this book focuses upon convergence properties of certain stochastic systems. An elementary example is the weak law of large numbers. For each positive e, P{ISn/nl 2: e} con verges to zero as n --+ 00, where Sn is the nth partial sum of indepen dent identically distributed random variables with zero mean. Large deviation theory shows that if the random variables are exponentially bounded, then the probabilities converge to zero exponentially fast as n --+ 00. The exponen tial decay allows one to prove the stronger property of almost sure conver gence (Sn/n --+ 0 a.s.). This example will be generalized extensively in the book. We will treat a large class of stochastic systems which involve both indepen dent and dependent random variables and which have the following features: probabilities converge to zero exponentially fast as the size of the system increases; the exponential decay leads to strong convergence properties of the system. The most fascinating aspect of the theory is that the exponential decay rates are computable in terms of entropy functions. This identification between entropy and decay rates of large deviation probabilities enhances the theory significantly.

How long is Entropy, Large Deviations, and Statistical Mechanics?

Entropy, Large Deviations, and Statistical Mechanics by Richard.S. Ellis is 365 pages long, and a total of 93,075 words.

This makes it 123% the length of the average book. It also has 114% more words than the average book.

How Long Does it Take to Read Entropy, Large Deviations, and Statistical Mechanics Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 28 minutes to read Entropy, Large Deviations, and Statistical Mechanics aloud.

What Reading Level is Entropy, Large Deviations, and Statistical Mechanics?

Entropy, Large Deviations, and Statistical Mechanics 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 Entropy, Large Deviations, and Statistical Mechanics?

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