Correlated biased random walk with latency in one and two dimensions: Asserting patterned and unpredictable movement.

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Title: Correlated biased random walk with latency in one and two dimensions: Asserting patterned and unpredictable movement.
Authors: Rodriguez-Horta, E.1,2, Estevez-Rams, E.1,2 estevez@imre.uh.cu, Lora-Serrano, R.3, Fernández, B. Aragón4
Source: Physica A. Sep2016, Vol. 458, p303-312. 10p.
Subjects: Random walks, Computational mechanics, Finite state machines, Computational complexity, Stochastic matrices
Abstract: The correlated biased random walk with latency in one and two dimensions is discussed with regard to the portion of irreducible random movement and structured movement. It is shown how a quantitative analysis can be carried out by using computational mechanics. The stochastic matrix for both dynamics are reported. Latency introduces new states in the finite state machine description of the system in both dimensions, allowing for a full nearest neighbor coordination in the two dimensional case. Complexity analysis is used to characterize the movement, independently of the set of control parameters, making it suitable for the discussion of other random walk models. The complexity map of the system dynamics is reported for the two dimensional case. [ABSTRACT FROM AUTHOR]
Copyright of Physica A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The correlated biased random walk with latency in one and two dimensions is discussed with regard to the portion of irreducible random movement and structured movement. It is shown how a quantitative analysis can be carried out by using computational mechanics. The stochastic matrix for both dynamics are reported. Latency introduces new states in the finite state machine description of the system in both dimensions, allowing for a full nearest neighbor coordination in the two dimensional case. Complexity analysis is used to characterize the movement, independently of the set of control parameters, making it suitable for the discussion of other random walk models. The complexity map of the system dynamics is reported for the two dimensional case. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Physica A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.physa.2016.03.017
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        Text: English
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      – SubjectFull: Computational mechanics
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      – SubjectFull: Finite state machines
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      – SubjectFull: Computational complexity
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      – SubjectFull: Stochastic matrices
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      – TitleFull: Correlated biased random walk with latency in one and two dimensions: Asserting patterned and unpredictable movement.
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              Text: Sep2016
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