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2013•Unpublished venueRequires access

Two‐Dimensional Random Walk

Oliver C. Ibe

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Abstract

This chapter explains the two-dimensional (2D) random walk, which has been used in many ecological studies to study the movement of animals, as well as in polymer science. It considers five types of 2D random walk, which are as follows: Pearson random walk; symmetric random walk (SRW); alternating random walk (ARW); self-avoiding random walk (SAW) and nonreversing random walk (NRRW). The chapter briefly discusses two extension of the NRRW. These are: noncontinuing random walk (NCRW) and nonreversing and noncontinuing random walk (NRNCRW).

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What this paper is about

This chapter explains the two-dimensional (2D) random walk, which has been used in many ecological studies to study the movement of animals, as well as in polymer science. It considers five types of 2D random walk, which are as follows: Pearson random walk; symmetric random walk (SRW); alternating random walk (ARW); self-avoiding random walk (SAW) and nonreversing random walk (NRRW). The chapter briefly discusses two extension of the NRRW. These are: noncontinuing random walk (NCRW) and nonreversing and noncontinuing random walk (NRNCRW).

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Available abstract

This chapter explains the two-dimensional (2D) random walk, which has been used in many ecological studies to study the movement of animals, as well as in polymer science. It considers five types of 2D random walk, which are as follows: Pearson random walk; symmetric random walk (SRW); alternating random walk (ARW); self-avoiding random walk (SAW) and nonreversing random walk (NRRW). The chapter briefly discusses two extension of the NRRW. These are: noncontinuing random walk (NCRW) and nonreversing and noncontinuing random walk (NRNCRW).

Key concepts: Random walk, Heterogeneous random walk in one dimension, Loop-erased random walk, Statistical physics, Mathematics, Statistics, Physics

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