It takes the average reader 6 hours and 50 minutes to read Gibbs Measures on Cayley Trees by Utkir A. Rozikov
Assuming a reading speed of 250 words per minute. Learn more
The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measure associated with the Hamiltonian of a physical system (a model) and generalizes the notion of a canonical ensemble. More importantly, when the Hamiltonian can be written as a sum of parts, the Gibbs measure has the Markov property (a certain kind of statistical independence), thus leading to its widespread appearance in many problems outside of physics such as biology, Hopfield networks, Markov networks, and Markov logic networks. Moreover, the Gibbs measure is the unique measure that maximizes the entropy for a given expected energy. The method used for the description of Gibbs measures on Cayley trees is the method of Markov random field theory and recurrent equations of this theory, but the modern theory of Gibbs measures on trees uses new tools such as group theory, information flows on trees, node-weighted random walks, contour methods on trees, and nonlinear analysis. This book discusses all the mentioned methods, which were developed recently.
Gibbs Measures on Cayley Trees by Utkir A. Rozikov is 404 pages long, and a total of 102,616 words.
This makes it 136% the length of the average book. It also has 125% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 9 hours and 20 minutes to read Gibbs Measures on Cayley Trees aloud.
Gibbs Measures on Cayley Trees 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.
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