Random matrices and determinantal processes. (English) Zbl 1411.60144
Bovier, Anton (ed.) et al., Mathematical statistical physics. École d’Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4–29, 2005. Amsterdam: Elsevier. 1-56 (2006).
Summary: We survey recent results on determinantal processes, random growth, random tilings and their relation to random matrix theory.
For the entire collection see [Zbl 1191.82003].
For the entire collection see [Zbl 1191.82003].
MSC:
60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
15B52 | Random matrices (algebraic aspects) |
60B20 | Random matrices (probabilistic aspects) |
60G55 | Point processes (e.g., Poisson, Cox, Hawkes processes) |
82B44 | Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics |
60-02 | Research exposition (monographs, survey articles) pertaining to probability theory |