The Limit Shape Problem for Ensembles of Young Diagrams

By:

Akihito Hora

Format:

Paperback / softback

Series:

Springerbriefs in Mathematical Physics

Show Hide Adult Content

$151.00

Available from supplier

Usually ships in 3-4 weeks

0 in Trolley

Price Match

Wrap this item as a gift ($5.90) - add a free gift card on the next page

Free Delivery with Primate

Join Now

Free 14 day free trial, cancel anytime.

Buy Now, Pay Later with:

4 payments of $37.75 with Afterpay Learn more

6 weekly interest-free payments of $25.17 with Laybuy Learn more

Availability

Delivering to:

Estimated arrival:

Around 11-21 June using International Courier

Description

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.

Release date NZ

November 17th, 2016

Author

Akihito Hora

Series

Springerbriefs in Mathematical Physics

Pages

Edition

1st ed. 2016

Audience

Professional & Vocational

Illustrations

9 Illustrations, black and white; IX, 73 p. 9 illus.

Dimensions

155x235x4

ISBN-13

9784431564850

Product ID

26132125

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here

Get free delivery, exclusive deals, and more^*

Non-Fiction Books:

The Limit Shape Problem for Ensembles of Young Diagrams

By:

Format:

Series:

Buy Now, Pay Later with:

Availability

Description

Customer reviews

Marketplace listings

Help & options

Filed under...

Get free delivery, exclusive deals, and more*

Buy Now, Pay Later with:

Get free delivery, exclusive deals, and more^*