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Statistical and transport properties of a one-dimensional random walk with periodically distributed trapping intervals - MaRDI portal

Statistical and transport properties of a one-dimensional random walk with periodically distributed trapping intervals (Q6104265)

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scientific article; zbMATH DE number 7703440
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Statistical and transport properties of a one-dimensional random walk with periodically distributed trapping intervals
scientific article; zbMATH DE number 7703440

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    Statistical and transport properties of a one-dimensional random walk with periodically distributed trapping intervals (English)
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    28 June 2023
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    Perhaps the largest number of works were written about random walks. The paper starts by the analysis of a discrete-time one-dimensional random walk with i.i.d. increments leaping over periodically distributed traps of finite length. In the discrete framework, the author obtains exact expressions for the mean first-passage time and the exponential decay of the survival probability, especially highlighting the role of the size of the traps, in the presence of a Laplace jump distribution. It is a very well edited, short and concise work.
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    random walk
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    trapping model
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    Brownian motion
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    survival probability
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    mean-square displacement
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