×

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].

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