Low Temperature Localization of the 2D Coulomb Gas
(2023) In Master’s Theses in Mathematical Sciences MASM02 20231Mathematical Statistics
- Abstract
- We fix a minor glitch in a proof recently stated by Ameur. The result shows that the Coulomb gas is well localized to the vicinity of the “droplet”, created by the
external field, which is described in terms of classical potential theory (“Frostman’s theorem”). For this reason, the result was termed “Localization theorem” in [1].
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9124720
- author
- Troedsson, Erik LU
- supervisor
-
- Yacin Ameur LU
- organization
- course
- MASM02 20231
- year
- 2023
- type
- H2 - Master's Degree (Two Years)
- subject
- publication/series
- Master’s Theses in Mathematical Sciences
- report number
- LUNFMS-3118-2023
- ISSN
- 1404-6342
- other publication id
- 2023:E39
- language
- English
- id
- 9124720
- date added to LUP
- 2023-06-15 10:46:26
- date last changed
- 2023-06-15 10:46:26
@misc{9124720,
abstract = {{We fix a minor glitch in a proof recently stated by Ameur. The result shows that the Coulomb gas is well localized to the vicinity of the “droplet”, created by the
external field, which is described in terms of classical potential theory (“Frostman’s theorem”). For this reason, the result was termed “Localization theorem” in [1].}},
author = {{Troedsson, Erik}},
issn = {{1404-6342}},
language = {{eng}},
note = {{Student Paper}},
series = {{Master’s Theses in Mathematical Sciences}},
title = {{Low Temperature Localization of the 2D Coulomb Gas}},
year = {{2023}},
}