Description
This monograph addresses one of the most challenging problems in the theory of Markov chains: understanding the behavior of chains with asymptotically zero drift. Lamperti’s Problem, a fundamental question in probability theory, concerns the classification and asymptotic properties of such chains.
The authors, leading experts in the field, provide a comprehensive treatment of the mathematical foundations, key theorems, and applications. The work synthesizes recent advances and offers new perspectives on classical questions about recurrence, transience, and limit behavior of stochastic processes.
Designed for researchers and graduate students in probability theory and mathematical statistics, this volume combines rigorous mathematical analysis with intuitive explanations. It serves as an essential reference for understanding the intricate dynamics of Markov chains in the limiting regime where drift coefficients vanish.
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