Soshnikov, Alexander Determinantal random point fields. (English. Russian original) Zbl 0991.60038 Russ. Math. Surv. 55, No. 5, 923-975 (2000); translation from Usp. Mat. Nauk 55, No. 5, 107-160 (2000). Cited in 2 ReviewsCited in 226 Documents MSC: 60G60 Random fields 60K35 Interacting random processes; statistical mechanics type models; percolation theory 15B52 Random matrices (algebraic aspects) Keywords:Hermitian kernel; weak convergence; determinantal random fields; quantum mechanics; statistical mechanics; random matrix theory; probability theory; representation theory; ergodic theory; renewal processes; mixing property; central limit theorem PDF BibTeX XML Cite \textit{A. Soshnikov}, Russ. Math. Surv. 55, No. 5, 923--975 (2000; Zbl 0991.60038); translation from Usp. Mat. Nauk 55, No. 5, 107--160 (2000) Full Text: DOI arXiv OpenURL