Overshoots play a central role in renewal theory.

Renewal theory is the branch of probability theory that generalizes Poisson processes for arbitrary holding times.

This leads to the study of renewal theory and reliability theory of aging and longevity.

As being a special case of the generalized chi-squared distribution, there are many other applications; for example, in renewal theory and in multi-antenna wireless communications.

Continuous time random walks, renewal theory, and the path representation are also useful formulations of random walks.

The coefficient of variation is also common in applied probability fields such as renewal theory, queueing theory, and reliability theory.

Renewal theory texts usually also define the spent time or the backward recurrence time (or the current lifetime) as .

A direct proof of a fundamental theorem of renewal theory, in Skandinavisk Aktuartidsskrift, 36(?)

Feller made fundamental contributions to renewal theory, Tauberian theorems, random walks, diffusion processes, and the law of the iterated logarithm.

This -the Urban Renewal Theory of Writing Fiction-works better for writers who discover their plot and characters only during the physical act of writing.

The following application arises in the context of Fourier analysis in signal processing, Renewal theory in Probability theory, and multi-antenna systems in wireless communication.

As noted in a seminal publication by Leblond, "the reappearance at each cycle of a new dormant cell which acts as the stem cell of spermatocytes is described as the 'Stem Cell Renewal Theory'" .

He has contributed to numerous areas of probability theory, including subadditive ergodic theory, random graphs, renewal theory, and is best known for his pioneering work on interacting particle processes, including the contact process, the voter model, and the exclusion process.