A study of the Antlion Random Walk

This paper treats a new type of random walk referred to as an Antlion Random Walk (ARW), which is motivated by mathematical modeling of the decision-making process using chaotic semiconductor lasers with memory parameters. We discuss the dependency of the property of the probability distribution of ARWs on the memory parameter $\alpha$ and discuss uniqueness of them in contrast to the conventional, simple RWs through similarity to the normal distribution.