Insights into the softening of chaotic statistical models by quantum considerations

C. Cafaro; A. Giffin; C. Lupo; S. Mancini

doi:10.1063/1.3703656

Insights into the softening of chaotic statistical models by quantum considerations

C. Cafaro
, A. Giffin
, C. Lupo
, S. Mancini

Nanoscale Science and Engineering

University at Albany

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

We analyze the information geometry and the entropic dynamics of a 3D Gaussian statistical model and compare our analysis to that of a 2D Gaussian statistical model obtained from the higher-dimensional model via introduction of an additional information constraint that resembles the quantum mechanical canonical minimum uncertainty relation. We uncover that the chaoticity of the 2D Gaussian statistical model, quantified by means of the Information Geometric Entropy (IGE), is softened with respect to the chaoticity of the 3D Gaussian statistical model.

Original language	English
Title of host publication	Bayesian Inference and Maximum Entropy Methods in Science and Engineering - 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011
Pages	366-373
Number of pages	8
DOIs	https://doi.org/10.1063/1.3703656
State	Published - 2012
Event	31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011 - Waterloo, ON, Canada Duration: Jul 9 2011 → Jul 16 2011

Publication series

Name	AIP Conference Proceedings
Volume	1443

Conference

Conference	31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011
Country/Territory	Canada
City	Waterloo, ON
Period	07/9/11 → 07/16/11

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10.1063/1.3703656

Cite this

Cafaro, C., Giffin, A., Lupo, C., & Mancini, S. (2012). Insights into the softening of chaotic statistical models by quantum considerations. In Bayesian Inference and Maximum Entropy Methods in Science and Engineering - 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011 (pp. 366-373). (AIP Conference Proceedings; Vol. 1443). https://doi.org/10.1063/1.3703656

Cafaro, C. ; Giffin, A. ; Lupo, C. et al. / Insights into the softening of chaotic statistical models by quantum considerations. Bayesian Inference and Maximum Entropy Methods in Science and Engineering - 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011. 2012. pp. 366-373 (AIP Conference Proceedings).

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title = "Insights into the softening of chaotic statistical models by quantum considerations",

abstract = "We analyze the information geometry and the entropic dynamics of a 3D Gaussian statistical model and compare our analysis to that of a 2D Gaussian statistical model obtained from the higher-dimensional model via introduction of an additional information constraint that resembles the quantum mechanical canonical minimum uncertainty relation. We uncover that the chaoticity of the 2D Gaussian statistical model, quantified by means of the Information Geometric Entropy (IGE), is softened with respect to the chaoticity of the 3D Gaussian statistical model.",

author = "C. Cafaro and A. Giffin and C. Lupo and S. Mancini",

year = "2012",

doi = "10.1063/1.3703656",

language = "English",

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series = "AIP Conference Proceedings",

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booktitle = "Bayesian Inference and Maximum Entropy Methods in Science and Engineering - 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011",

note = "31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011 ; Conference date: 09-07-2011 Through 16-07-2011",

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Cafaro, C, Giffin, A, Lupo, C & Mancini, S 2012, Insights into the softening of chaotic statistical models by quantum considerations. in Bayesian Inference and Maximum Entropy Methods in Science and Engineering - 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011. AIP Conference Proceedings, vol. 1443, pp. 366-373, 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011, Waterloo, ON, Canada, 07/9/11. https://doi.org/10.1063/1.3703656

Insights into the softening of chaotic statistical models by quantum considerations. / Cafaro, C.; Giffin, A.; Lupo, C. et al.
Bayesian Inference and Maximum Entropy Methods in Science and Engineering - 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011. 2012. p. 366-373 (AIP Conference Proceedings; Vol. 1443).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - We analyze the information geometry and the entropic dynamics of a 3D Gaussian statistical model and compare our analysis to that of a 2D Gaussian statistical model obtained from the higher-dimensional model via introduction of an additional information constraint that resembles the quantum mechanical canonical minimum uncertainty relation. We uncover that the chaoticity of the 2D Gaussian statistical model, quantified by means of the Information Geometric Entropy (IGE), is softened with respect to the chaoticity of the 3D Gaussian statistical model.

AB - We analyze the information geometry and the entropic dynamics of a 3D Gaussian statistical model and compare our analysis to that of a 2D Gaussian statistical model obtained from the higher-dimensional model via introduction of an additional information constraint that resembles the quantum mechanical canonical minimum uncertainty relation. We uncover that the chaoticity of the 2D Gaussian statistical model, quantified by means of the Information Geometric Entropy (IGE), is softened with respect to the chaoticity of the 3D Gaussian statistical model.

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BT - Bayesian Inference and Maximum Entropy Methods in Science and Engineering - 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011

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Cafaro C, Giffin A, Lupo C, Mancini S. Insights into the softening of chaotic statistical models by quantum considerations. In Bayesian Inference and Maximum Entropy Methods in Science and Engineering - 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, MaxEnt 2011. 2012. p. 366-373. (AIP Conference Proceedings). doi: 10.1063/1.3703656

Insights into the softening of chaotic statistical models by quantum considerations

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