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- W2604275707 abstract "We consider a particular type of continuous time random walk where the jump lengths between subsequent waiting times are correlated. In a continuum limit, the process can be defined by an integrated Brownian motion subordinated by an inverse <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-stable subordinator. We compute the mean square displacement of the proposed process and show that the process exhibits subdiffusion when <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mn mathvariant=normal>0</mml:mn><mml:mo><</mml:mo><mml:mi>α</mml:mi><mml:mo><</mml:mo><mml:mn mathvariant=normal>1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant=normal>3</mml:mn></mml:math>, normal diffusion when <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant=normal>1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant=normal>3</mml:mn></mml:math>, and superdiffusion when <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mn mathvariant=normal>1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant=normal>3</mml:mn><mml:mo><</mml:mo><mml:mi>α</mml:mi><mml:mo><</mml:mo><mml:mn mathvariant=normal>1</mml:mn></mml:math>. The time-averaged mean square displacement is also employed to show weak ergodicity breaking occurring in the proposed process. An extension to the fractional case is also considered." @default.
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- W2604275707 date "2017-01-01" @default.
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- W2604275707 title "Modeling Anomalous Diffusion by a Subordinated Integrated Brownian Motion" @default.
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- W2604275707 doi "https://doi.org/10.1155/2017/7246865" @default.
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