The Szekeres–Bramson theorem is a result in probability theory that addresses the behavior of certain random walks. Specifically, it provides insights into the asymptotic behavior of the maximum displacement of a random walk in a two-dimensional lattice. The theorem shows that, under certain conditions, the maximum distance from the origin grows at a specific rate over time. This theorem is significant in the study of random processes and has applications in various fields, including statistical physics and queueing theory. It helps researchers understand how random movements can lead to extreme values, which is crucial for modeling real-world phenomena.