| bibtype |
J -
Journal Article
|
| ARLID |
0441885 |
| utime |
20240103205825.3 |
| mtime |
20150319235959.9 |
| title
(primary) (eng) |
On the Tsallis Entropy for Gibbs Random Fields |
| specification |
| page_count |
11 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0293025 |
| ISSN |
1212-074X |
| title
|
Bulletin of the Czech Econometric Society |
| volume_id |
21 |
| volume |
33 (2014) |
| page_num |
59-69 |
|
| keyword |
Tsallis entropy |
| keyword |
Gibbs random fields |
| keyword |
phase transitions |
| keyword |
Tsallis entropy rate |
| author
(primary) |
| ARLID |
cav_un_auth*0101114 |
| name1 |
Janžura |
| name2 |
Martin |
| full_dept (cz) |
Stochastická informatika |
| full_dept (eng) |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department (eng) |
SI |
| institution |
UTIA-B |
| full_dept |
Department of Stochastic Informatics |
| share |
100 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GBP402/12/G097 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0281000 |
|
| research |
CEZ:AV0Z1075907 |
| abstract
(eng) |
The Tsallis entropy, as a generalization of the standard Shannon-type entropy, was introduced by Constantino Tsallis (1988). Since that the concept has been extensively studied (see, e.g., Tsallis (2009)). In the present paper we address the problem of generalizing the concept for innite- dimensional systems, i.e., the random processes and elds. Apparently, rather well suited models are the Gibbs distributions (cf. e.g., Georgii (1988)). We construct the appropriate Tsallis entropy rate either asymptotically by limit over a sequence of expanding volumes or by analogy with the exponential nite-dimensional distributions. Basic properties, taking into account the possible phase transitions, are also introduced. |
| reportyear |
2015 |
| RIV |
BB |
| num_of_auth |
1 |
| permalink |
http://hdl.handle.net/11104/0245437 |
| confidential |
S |
| arlyear |
2014 |
| mrcbU63 |
cav_un_epca*0293025 Bulletin of the Czech Econometric Society 1212-074X Roč. 21 č. 33 2014 59 69 |
|