This book investigates the intricate relationship between Markov processes and potential theory. It aims to provide a rigorous exploration of how the concepts and tools of potential theory can be applied to the study of Markov processes, offering insights into their behavior and properties. The text is structured to guide readers through advanced mathematical concepts, assuming a strong foundation in probability and analysis.

This text is recognized as a specialized monograph for advanced students and researchers in probability and mathematical physics. Its rigorous approach and detailed mathematical treatment suggest it is intended for those with a strong background in the subject matter. The focus on the intersection of two complex fields indicates a dense, academic work aimed at contributing to theoretical understanding.