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The Observable Representation

Physics Department, Clarkson University, Potsdam, NY 13699-5820, USA
Entropy 2019, 21(3), 310; https://doi.org/10.3390/e21030310
Received: 30 November 2018 / Revised: 12 March 2019 / Accepted: 12 March 2019 / Published: 21 March 2019
(This article belongs to the Special Issue 20th Anniversary of Entropy—Review Papers Collection)
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. View Full-Text
Keywords: observable representation; random walk; phase transition; spin-glass; foraging; linguistics; stochastic matrix; spectral analysis observable representation; random walk; phase transition; spin-glass; foraging; linguistics; stochastic matrix; spectral analysis
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Schulman, L.S. The Observable Representation. Entropy 2019, 21, 310. https://doi.org/10.3390/e21030310

AMA Style

Schulman LS. The Observable Representation. Entropy. 2019; 21(3):310. https://doi.org/10.3390/e21030310

Chicago/Turabian Style

Schulman, L. S. 2019. "The Observable Representation" Entropy 21, no. 3: 310. https://doi.org/10.3390/e21030310

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