A dynamical approach to random matrix theory László Erdős (Institute of Science and Technology Austria), Horng-Tzer Yau (Harvard University)
Materialtyp:
TextSprache: Englisch Reihen: ; 28 | Courant Institute of Mathematical Sciences Courant lecture notes in mathematics ; 28 | Verlag: New York, New York Courant Institute of Mathematical Sciences, New York University [2017]Verlag: Providence, Rhode Island American Mathematical Society [2017]Copyright-Datum: © 2017Beschreibung: ix, 226 Seiten IllustrationenInhaltstyp: - Text
- ohne Hilfsmittel zu benutzen
- Band
- 9781470436483
- QA196.5
- SK 820
- *15-02
- 15B52
- 60J65
- 82B44
- 60B20
- 31.70
- 31.25
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Gebäude E2 4 (UdS FR MATHE ) | UdS Mathematik Handapparate (E2 4) | Internal | ERD l 2017:1 1.Ex (Regal durchstöbern(Öffnet sich unterhalb)) | restricted use | 2202000591023 |
Includes bibliographical references and index
Introduction -- Wigner matrices and their generalizations -- Eigenvalue density -- Invariant ensembles -- Universality for generalized Wigner matrices -- Local semicircle law for universal Wigner matrices -- Weak local semicircle law -- Proof of the local semicircle law -- Sketch of the proof of the local semicircle law -- Fluctuation averaging mechanism -- Eigenvalue location: the rigidity phenomenon -- Universality for matrices with Guassian convolutions -- Entropy and the logarithmic Sobolev inequality (LSI) -- Universality of the Dyson Brownian motion -- Continuity of local correlation functions -- Universality of Wigner matrices -- Edge universality -- Further results and historical notes
Erdös, László, 1966 - : <<A>> dynamical approach to random matrix theory
Erdős, László: <<A>> dynamical approach to random matrix theory
Erdős, László: <<A>> dynamical approach to random matrix theory