Random point fields associated with certain Fredholm determinants I: Fermion, poisson and boson point processes

Tomoyuki Shirai, Yoichiro Takahashi

Research output: Contribution to journalArticlepeer-review

152 Citations (Scopus)

Abstract

We introduce certain classes of random point fields, including fermion and boson point processes, which are associated with Fredholm determinants of certain integral operators and study some of their basic properties: limit theorems, correlation functions, Palm measures etc. Also we propose a conjecture on an α-analogue of the determinant and permanent.

Original languageEnglish
Pages (from-to)414-463
Number of pages50
JournalJournal of Functional Analysis
Volume205
Issue number2
DOIs
Publication statusPublished - Dec 20 2003

All Science Journal Classification (ASJC) codes

  • Analysis

Fingerprint Dive into the research topics of 'Random point fields associated with certain Fredholm determinants I: Fermion, poisson and boson point processes'. Together they form a unique fingerprint.

Cite this