Registro completo de metadatos
| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.creator | Gomez, Ignacio Sebastián | - |
| dc.date | 2018-11-02T21:37:42Z | - |
| dc.date | 2018-11-02T21:37:42Z | - |
| dc.date | 2017-10 | - |
| dc.date | 2018-10-22T21:47:10Z | - |
| dc.date.accessioned | 2019-04-29T15:56:57Z | - |
| dc.date.available | 2019-04-29T15:56:57Z | - |
| dc.identifier | Gomez, Ignacio Sebastián; Notions of the ergodic hierarchy for curved statistical manifolds; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 484; 10-2017; 117-131 | - |
| dc.identifier | 0378-4371 | - |
| dc.identifier | http://hdl.handle.net/11336/63579 | - |
| dc.identifier | CONICET Digital | - |
| dc.identifier | CONICET | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/306012 | - |
| dc.description | We present an extension of the ergodic, mixing, and Bernoulli levels of the ergodic hierarchy for statistical models on curved manifolds, making use of elements of the information geometry. This extension focuses on the notion of statistical independence between the microscopical variables of the system. Moreover, we establish an intimately relationship between statistical models and families of probability distributions belonging to the canonical ensemble, which for the case of the quadratic Hamiltonian systems provides a closed form for the correlations between the microvariables in terms of the temperature of the heat bath as a power law. From this, we obtain an information geometric method for studying Hamiltonian dynamics in the canonical ensemble. We illustrate the results with two examples: a pair of interacting harmonic oscillators presenting phase transitions and the 2×2 Gaussian ensembles. In both examples the scalar curvature results a global indicator of the dynamics. | - |
| dc.description | Fil: Gomez, Ignacio Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Elsevier Science | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.physa.2017.05.012 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437117305149 | - |
| dc.rights | info:eu-repo/semantics/restrictedAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.subject | 2D CORRELATED MODEL | - |
| dc.subject | CANONICAL ENSEMBLE | - |
| dc.subject | ERGODIC HIERARCHY | - |
| dc.subject | IGEH | - |
| dc.subject | INFORMATION GEOMETRY | - |
| dc.subject | STATISTICAL MODELS | - |
| dc.subject | Astronomía | - |
| dc.subject | Ciencias Físicas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | Notions of the ergodic hierarchy for curved statistical manifolds | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
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