非均匀环境中的随机行走：人类和动物移动的一种可能方法
Random walk in nonhomogeneous environments: A possible approach to human and animal mobility
摘要：
本文讨论了跳跃长度服从Lévy稳定分布的非均匀介质中的随机游动过程。宽度取决于位置：在跳跃之前或之后。在后一种情况下，密度斜率受变宽的影响，方差可能是有限的，然后预测各种异常扩散。在前一种情况下，只有时间特性对可变宽度敏感。而前一种情况归结为一个具有变跳率的问题，讨论了相应的Langevin方程对乘性噪声的不同解释.跳跃后的位置上的分布宽度的依赖性解释的认知能力和相关的问题，如人口迁移和觅食的动物的习惯。
英文摘要：
The random walk process in a nonhomogeneous medium, characterised by a Lévy stable distribution of jump length, is discussed. The width depends on a position: either before the jump or after that. In the latter case, the density slope is affected by the variable width and the variance may be finite; then all kinds of the anomalous diffusion are predicted. In the former case, only the time characteristics are sensitive to the variable width. %while the former case resolves itself to a problem with a variable jumping rate, The corresponding Langevin equation with different interpretations of the multiplicative noise is discussed. The dependence of the distribution width on position after jump is interpreted in terms of cognitive abilities and related to such problems as migration in a human population and foraging habits of animals.
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