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Solution of the persistent, biased random walk

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  • García-Pelayo, Ricardo

Abstract

The solution of the one-dimensional persistent, biased random walk is found. Its finite differences equation is derived and shown to be satisfied by the said solution.

Suggested Citation

  • García-Pelayo, Ricardo, 2007. "Solution of the persistent, biased random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 143-149.
    • Handle: RePEc:eee:phsmap:v:384:y:2007:i:2:p:143-149
    DOI: 10.1016/j.physa.2007.05.033
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    References listed on IDEAS

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    1. Weiss, George H, 2002. "Some applications of persistent random walks and the telegrapher's equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(3), pages 381-410.
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    Cited by:

    1. Van der Straeten, Erik & Naudts, Jan, 2008. "The 3-dimensional random walk with applications to overstretched DNA and the protein titin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6790-6800.
    2. Rodriguez-Horta, E. & Estevez-Rams, E. & Lora-Serrano, R. & Fernández, B. Aragón, 2016. "Correlated biased random walk with latency in one and two dimensions: Asserting patterned and unpredictable movement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 303-312.

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