該雜志發(fā)表現(xiàn)代概率論的研究論文，它與分析、幾何和數(shù)學的其他領域的關系，以及它的各種應用領域。它還載有關于新出現(xiàn)的重要領域的調查報告。概率論及相關學科包括:統(tǒng)計力學、遍歷理論、數(shù)學生物學、濾波理論、數(shù)理統(tǒng)計學、理論計算機科學、優(yōu)化與控制、隨機幾何、隨機算法。

This journal publishes research papers in modern probability theory, its relations to analysis, geometry and other areas in mathematics, and its various fields of application. It also contains survey papers on emerging areas of importance.The subjects covered in Probability Theory and Related Fields include: statistical mechanics, ergodic theory, mathematical biology, filtering theory, mathematical statistics, theoretical computer science, optimization and control, stochastic geometry, and stochastic algorithms.