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Record Nr. |
UNINA9910150551003321 |
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Autore |
Hora Akihito |
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Titolo |
The limit shape problem for ensembles of Young diagrams / / by Akihito Hora |
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Pubbl/distr/stampa |
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Tokyo : , : Springer Japan : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (IX, 73 p. 9 illus.) |
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Collana |
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SpringerBriefs in Mathematical Physics, , 2197-1757 ; ; 17 |
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Disciplina |
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Soggetti |
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Mathematical physics |
Topological groups |
Lie groups |
Group theory |
Probabilities |
Statistical physics |
Dynamical systems |
Mathematical Physics |
Topological Groups, Lie Groups |
Group Theory and Generalizations |
Probability Theory and Stochastic Processes |
Complex Systems |
Statistical Physics and Dynamical Systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1. Introduction -- 2. Prerequisite materials -- 2.1 representations of the symmetric group -- 2.2 free probability -- 2.3 ensembles of Young diagrams -- 3. Analysis of the Kerov—Olshanski algebra -- 3.1 polynomial functions of Young diagrams -- 3.2 Kerov polynomials -- 4. Static model -- 4.1 Plancherel ensemble -- 4.2 Thoma and other ensembles -- 5. Dynamic model -- 5.1 hydrodynamic limit for the Plancherel ensemble. |
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Sommario/riassunto |
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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 |
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