Random point fields associated with certain Fredholm determinants I: fermion, Poisson and boson point processes
T Shirai, Y Takahashi - Journal of Functional Analysis, 2003 - Elsevier
T Shirai, Y Takahashi
Journal of Functional Analysis, 2003•ElsevierWe 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.
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.
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.
Elsevier
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