Properties and moving time average for Levy walks with power-law waiting-time distributions

机译：利用征收幂等候时间分布的征税的性质和移动时间平均值

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Levy walks are a natural model for the description of sub-ballistic, super-diffusive motion. The waiting times and jump lengths of Levy walks are coupled in the form ψ(x, t) ∝ 1/2δ(|x|-vt)ψ(t) The d-coupling introduces a time cost for each jump in the form of the generalized velocity v, such that long jumps get penalized by a higher time cost. In this paper, we firstly investigate the properties of Levy walks with power-law waiting-time distributions; then discuss its moving time average.

机译：征收散步是子弹道，超级扩散运动的描述的自然模式。征收步行的等待时间和跳跃长度耦合以ψ（x，t）α1/2δ（| x | -xibig）ψ（t）D耦合引入每个跳转的时间成本广义速度V，使得长跳跃通过较高的时间成本受到惩罚。在本文中，我们首先调查了征收幂的性能与权力法等候时间分布; 然后讨论其移动时间平均水平。

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《International Conference on Civil Engineering, Architecture and Building Materials》|2014年||共4页
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Kaiying Deng; Jingwei Deng;
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中图分类 TU5-53;
关键词
Levy walks; Aging phenomena; Moving time average; Power-law waiting-time Distribution;

机译：征收步行;老龄化现象;移动时间平均值;幂律等候时间分布;

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2. Average time spent by Levy flights and walks on an interval with absorbing boundaries - art. no. 041108 [J] . Buldyrev SV., Kazakov AY., da Luz MGE., Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2001,第4aPta1期

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3. Low-frequency estimation of continuous-time moving average Levy processes [J] . Belomestny Denis, Panov Vladimir, Woerner Jeannette H. C. Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability . 2019,第2期

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4. Properties and moving time average for Levy walks with power-law waiting-time distributions [C] . Kaiying Deng, Jingwei Deng International Conference on Civil Engineering, Architecture and Building Materials . 2014

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Properties and moving time average for Levy walks with power-law waiting-time distributions

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