Noncommutative central limit theorem for Gibbs temperature states
For Gibbs temperature states, the scheme of the proof of the noncommutative central limit theorem is given by using the commutative central limit theorem for corresponding Euclidean measures. Applications are constructed for the model of a temperature-anharmonic crystal and the generalized Ising mod...
Saved in:
| Date: | 1995 |
|---|---|
| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5417 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511649503379456 |
|---|---|
| author | Antoniouk, A. Vict. Antoniouk, A. Val. Kondratiev, Yu. G. Антонюк, О. Вік. Антонюк, О. Вал. Кондратьєв, Ю. Г. |
| author_facet | Antoniouk, A. Vict. Antoniouk, A. Val. Kondratiev, Yu. G. Антонюк, О. Вік. Антонюк, О. Вал. Кондратьєв, Ю. Г. |
| author_sort | Antoniouk, A. Vict. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:05Z |
| description | For Gibbs temperature states, the scheme of the proof of the noncommutative central limit theorem is given by using the commutative central limit theorem for corresponding Euclidean measures. Applications are constructed for the model of a temperature-anharmonic crystal and the generalized Ising model with compact continuous configuration space. |
| first_indexed | 2026-03-24T03:16:15Z |
| format | Article |
| fulltext |
0003 - копия
0003
0004
0005
0006
0007
0008
0009
0010
|
| id | umjimathkievua-article-5417 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:16:15Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d9/3c8a4e7bb996c8876d5a829b85e269d9.pdf |
| spelling | umjimathkievua-article-54172020-03-19T08:59:05Z Noncommutative central limit theorem for Gibbs temperature states Некомутативна центральна гранична теорема для гіббсових температурних станів Antoniouk, A. Vict. Antoniouk, A. Val. Kondratiev, Yu. G. Антонюк, О. Вік. Антонюк, О. Вал. Кондратьєв, Ю. Г. For Gibbs temperature states, the scheme of the proof of the noncommutative central limit theorem is given by using the commutative central limit theorem for corresponding Euclidean measures. Applications are constructed for the model of a temperature-anharmonic crystal and the generalized Ising model with compact continuous configuration space. Наведена схема доведення не комутативної центральної граничної теореми для гіббсових температурних станів з використанням комутативної центральної граничної теореми для відповідних евклідових мір. Одержані застосування до моделі температурного ангармонійного кристалу та узагальненої моделі Ізінга з компактним неперервним конфігураційним простором. Institute of Mathematics, NAS of Ukraine 1995-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5417 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 3 (1995); 299–306 Український математичний журнал; Том 47 № 3 (1995); 299–306 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5417/7523 https://umj.imath.kiev.ua/index.php/umj/article/view/5417/7524 Copyright (c) 1995 Antoniouk A. Vict.; Antoniouk A. Val.; Kondratiev Yu. G. |
| spellingShingle | Antoniouk, A. Vict. Antoniouk, A. Val. Kondratiev, Yu. G. Антонюк, О. Вік. Антонюк, О. Вал. Кондратьєв, Ю. Г. Noncommutative central limit theorem for Gibbs temperature states |
| title | Noncommutative central limit theorem for Gibbs temperature states |
| title_alt | Некомутативна центральна
гранична теорема для гіббсових температурних станів |
| title_full | Noncommutative central limit theorem for Gibbs temperature states |
| title_fullStr | Noncommutative central limit theorem for Gibbs temperature states |
| title_full_unstemmed | Noncommutative central limit theorem for Gibbs temperature states |
| title_short | Noncommutative central limit theorem for Gibbs temperature states |
| title_sort | noncommutative central limit theorem for gibbs temperature states |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5417 |
| work_keys_str_mv | AT antonioukavict noncommutativecentrallimittheoremforgibbstemperaturestates AT antonioukaval noncommutativecentrallimittheoremforgibbstemperaturestates AT kondratievyug noncommutativecentrallimittheoremforgibbstemperaturestates AT antonûkovík noncommutativecentrallimittheoremforgibbstemperaturestates AT antonûkoval noncommutativecentrallimittheoremforgibbstemperaturestates AT kondratʹêvûg noncommutativecentrallimittheoremforgibbstemperaturestates AT antonioukavict nekomutativnacentralʹnagraničnateoremadlâgíbbsovihtemperaturnihstanív AT antonioukaval nekomutativnacentralʹnagraničnateoremadlâgíbbsovihtemperaturnihstanív AT kondratievyug nekomutativnacentralʹnagraničnateoremadlâgíbbsovihtemperaturnihstanív AT antonûkovík nekomutativnacentralʹnagraničnateoremadlâgíbbsovihtemperaturnihstanív AT antonûkoval nekomutativnacentralʹnagraničnateoremadlâgíbbsovihtemperaturnihstanív AT kondratʹêvûg nekomutativnacentralʹnagraničnateoremadlâgíbbsovihtemperaturnihstanív |