International Journal of Statistical Mechanics / 2013 / Article / Fig 1

Research Article

Solution and Analysis of a One-Dimensional First-Passage Problem with a Nonzero Halting Probability

Figure 1

An illustration of the problem. The random walker hops to the right with probability and to the left with ; hopping does not occur with probability . ( ). The problem focuses on statistical properties of the duration , which is the time the walker first hits the origin.
831390.fig.001

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.