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I am trying to understand Levy walk. I went through the wiki page and there was a line saying:

A Lévy flight is a random walk in which the steps are defined in terms of the step-lengths, which have a certain probability distribution, with the directions of the steps being isotropic and random.

I am unable to understand the part

with the directions of the steps being isotropic and random.

Doesn't the terms isotropic and random have a completely different meaning?

Note: If possible, it would be of great help if you can provide more tutorials to understand levy walk easily.

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    It means the random direction of the $n$th step is uniformly distributed on the unit sphere. – 2017-01-15

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