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As a matter of fact, the random walk has been implemented in various applications among different fields in recent years. With this in mind, this study explores the concept of random walk and its modern application in the three specific fields, i.e., finance, physics and biology. Based on an analysis of key articles and studies, the exploration identifies the main themes, including the efficient market hypothesis, Brownian Motion in physics as well as the genetic drift patterns. According to the analysis, this study also highlights gaps in the literature, suggesting the need for further empirical research in these areas. Understanding the intricacies of random walk theory is essential for fields in science, technology, as well as decision-making, and this study provides valuable insights into its evolution and current status. Overall, these results shed light on guiding further exploration of random walk as well as corresponding applications in different fields and subjects.
Juntao Shi (Fri,) studied this question.