2021
DOI: 10.1088/1751-8121/ac27e4
|View full text |Cite
|
Sign up to set email alerts
|

Circulant L-ensembles in the thermodynamic limit

Abstract: L-ensembles are a class of determinantal point processes which can be viewed as a statistical mechanical systems in the grand canonical ensemble. Circulant L-ensembles are the subclass which are locally translationally invariant and furthermore subject to periodic boundary conditions. Existing theory can very simply be specialised to this setting, allowing for the derivation of formulas for the system pressure, and the correlation kernel, in the thermodynamic limit. For a one-dimensional domain, this is possib… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2022
2022
2023
2023

Publication Types

Select...
1
1

Relationship

0
2

Authors

Journals

citations
Cited by 2 publications
(1 citation statement)
references
References 57 publications
0
1
0
Order By: Relevance
“…We will refer to this ensemble as the CUE α . In [69] the CUE α was related to the theory of parametric eigenvalue motion due to Pechukas [138] and Yukawa [161], and most recently it was placed within the theory of circulant L-ensembles [76].…”
Section: 3mentioning
confidence: 99%
“…We will refer to this ensemble as the CUE α . In [69] the CUE α was related to the theory of parametric eigenvalue motion due to Pechukas [138] and Yukawa [161], and most recently it was placed within the theory of circulant L-ensembles [76].…”
Section: 3mentioning
confidence: 99%