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Record Nr. |
UNINA9910794003003321 |
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Autore |
Bleher Pavel <1947-> |
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Titolo |
The mother body phase transition in the normal matrix model / / Pavel M. Bleher, Guilherme L. F. Silva |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2020 |
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ISBN |
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Descrizione fisica |
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1 online resource (156 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; Number 1289 |
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Classificazione |
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60B2030C9930Exx30F3031A1544A60 |
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Disciplina |
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Soggetti |
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Matrices - Norms |
Random matrices |
Phase transformations (Statistical physics) |
Functions, Meromorphic |
Riemann-Hilbert problems |
Integral transforms |
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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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Note generali |
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"May 2020, volume 265, number 1289 (sixth of 7 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Statement of main results -- Limiting boundary of eigenvalues. Proofs of propositions 2.1 and 2.7 and theorems 2.2, 2.5 and 2.8 -- Geometry of the spectral curve. Proof of theorem 2.6 -- Meromorphic quadratic differential on R -- Proofs of theorems 2.3, 2.4, 2.9 and 2.10 -- Riemann-Hilbert analysis in the three-cut case -- Riemann-Hilbert analysis in the one-cut case -- Construction of the global parametrix -- Proofs of theorems 2.14 and 2.15. |
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