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PROGRESS AND PROBLEMS IN THE THEORY OF REGENERATIVE PHENOMENA
Published online by Cambridge University Press: 19 December 2006
Abstract
Regenerative phenomena were introduced some forty years ago to address problems in the theory of continuous-time Markov processes. The early work in the theory left a number of difficult unsolved problems, in the classification of $p$-functions, oscillation and inequalities, the multiplicative theory, and the theory of unbounded semi-$p$-functions. Recent years have shown progress on all of these fronts, and this paper surveys these results, while drawing attention to significant problems that remain open.
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- The London Mathematical Society 2006
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