Gaussian limits for determinantal random point
| Author(s) : | Alexander Soshnikov, |
| Publisher : | N/A |
| Publication Date : | 2002 |
| ISSN : | N/A |
| Abstract : | We prove that, under fairly general conditions, a properly rescaled determinantal random point field converges to a generalized Gaussian random process. 1 Introduction and Formulation of Results Let E be a locally compact Hausdorff space satisfying the second axiom of countability, B ? -algebra of Borel subsets and a -finite measure on (E, B), such that (K) < ? for any compact K ? E. We denote by X the space of locally finite configurations of particles in E: X = { = (xi) ? i=? ?:, |