Akihito Hora's Books

Quantum Probability and Spectral Analysis of Graphs

By: Akihito Hora,Nobuaki Obata

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Quantum Probability and Spectral Analysis of Graphs

By: Akihito Hora,Nobuaki Obata

This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.

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Page Count

384

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540488634

ISBN 13

9783540488637

The Limit Shape Problem for Ensembles of Young Diagrams

By: Akihito Hora

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The Limit Shape Problem for Ensembles of Young Diagrams

By: Akihito Hora

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.

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Publisher

Springer

Published Date

ISBN 10

443156487X

ISBN 13

9784431564874

The Limit Shape Problem for Ensembles of Young Diagrams

By: Akihito Hora

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The Limit Shape Problem for Ensembles of Young Diagrams

By: Akihito Hora

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

Publisher

Springer

Published Date

ISBN 10

443156487X

ISBN 13

9784431564874

Book's by Akihito Hora

Quantum Probability and Spectral Analysis of Graphs

Quantum Probability and Spectral Analysis of Graphs

The Limit Shape Problem for Ensembles of Young Diagrams

The Limit Shape Problem for Ensembles of Young Diagrams

The Limit Shape Problem for Ensembles of Young Diagrams

The Limit Shape Problem for Ensembles of Young Diagrams

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