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The Observable Representation
The observable representation (OR) is an embedding of the space on which a stochastic dynamics is taking place into a low dimensional Euclidean space. The most significant feature of the OR is that it respects the dynamics. Examples are given in several areas: the definition of a phase transition (i...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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MDPI
2019
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514791/ https://www.ncbi.nlm.nih.gov/pubmed/33267024 http://dx.doi.org/10.3390/e21030310 |
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| author | Schulman, L. S. |
| author_facet | Schulman, L. S. |
| author_sort | Schulman, L. S. |
| collection | PubMed |
| description | The observable representation (OR) is an embedding of the space on which a stochastic dynamics is taking place into a low dimensional Euclidean space. The most significant feature of the OR is that it respects the dynamics. Examples are given in several areas: the definition of a phase transition (including metastable phases), random walks in which the OR recovers the original space, complex systems, systems in which the number of extrema exceed convenient viewing capacity, and systems in which successful features are displayed, but without the support of known theorems. |
| format | Online Article Text |
| id | pubmed-7514791 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2019 |
| publisher | MDPI |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-75147912020-11-09 The Observable Representation Schulman, L. S. Entropy (Basel) Review The observable representation (OR) is an embedding of the space on which a stochastic dynamics is taking place into a low dimensional Euclidean space. The most significant feature of the OR is that it respects the dynamics. Examples are given in several areas: the definition of a phase transition (including metastable phases), random walks in which the OR recovers the original space, complex systems, systems in which the number of extrema exceed convenient viewing capacity, and systems in which successful features are displayed, but without the support of known theorems. MDPI 2019-03-21 /pmc/articles/PMC7514791/ /pubmed/33267024 http://dx.doi.org/10.3390/e21030310 Text en © 2019 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
| spellingShingle | Review Schulman, L. S. The Observable Representation |
| title | The Observable Representation |
| title_full | The Observable Representation |
| title_fullStr | The Observable Representation |
| title_full_unstemmed | The Observable Representation |
| title_short | The Observable Representation |
| title_sort | observable representation |
| topic | Review |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514791/ https://www.ncbi.nlm.nih.gov/pubmed/33267024 http://dx.doi.org/10.3390/e21030310 |
| work_keys_str_mv | AT schulmanls theobservablerepresentation AT schulmanls observablerepresentation |