Fermion Process and Fredholm Determinant

  • Tomoyuki Shirai
  • Yoichiro Takahashi

Abstract

We construct a family of probability measures on a configuration space associated with Fredholm determinants for symmetric integral operators. For these probability measures we show basic limit theorems (law of large numbers, central limit theorem and large deviation.) Also we deal with shift dynamical systems naturally corresponding to these probability measures on Z1 and investigate their ergodic properties.

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Tomoyuki Shirai
    • 1
  • Yoichiro Takahashi
    • 2
  1. 1.Department of MathematicsTokyo Institute of TechnologyTokyoJapan
  2. 2.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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