It takes the average reader 1 hour and 13 minutes to read The Limit Shape Problem for Ensembles of Young Diagrams by Akihito Hora
Assuming a reading speed of 250 words per minute. Learn more
This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific curves appear in the appropriate scaling limit for the profiles of Young diagrams. This problem is regarded as an important origin of recent vital studies on harmonic analysis of huge symmetry structures. As mathematics, an asymptotic theory of representations is developed of the symmetric groups of degree n as n goes to infinity. The framework of rigorous limit theorems (especially the law of large numbers) in probability theory is employed as well as combinatorial analysis of group characters of symmetric groups and applications of Voiculescu's free probability. The central destination here is a clear description of the asymptotic behavior of rescaled profiles of Young diagrams in the Plancherel ensemble from both static and dynamic points of view.
The Limit Shape Problem for Ensembles of Young Diagrams by Akihito Hora is 73 pages long, and a total of 18,469 words.
This makes it 25% the length of the average book. It also has 23% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 1 hour and 40 minutes to read The Limit Shape Problem for Ensembles of Young Diagrams aloud.
The Limit Shape Problem for Ensembles of Young Diagrams is suitable for students ages 8 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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