The continuum limit of a two-dimensional persistent random walk

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Abstract

We consider a two-dimensional persistent random walk in which the motion consists of alternative steps along one of two vectors, a and b. It is shown that the continuum limit of the evolution equation is not a two- but rather a one-dimensional telegrapher's equation. © 1992.

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Masoliver, J., Porrà, J. M., & Weiss, G. H. (1992). The continuum limit of a two-dimensional persistent random walk. Physica A: Statistical Mechanics and Its Applications, 182(4), 593–598. https://doi.org/10.1016/0378-4371(92)90023-J

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