In this paper we prove large deviations results for partial sums constructed from the solution to a stochastic recurrence equation. We assume Kesten's condition [Acta Math. 131 (1973) 207—248] under ...

Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...

It is shown that convergent solutions of a smooth recurrence equation whose gradient satisfies a certain "nonunimodularity" condition can be approximated by an asymptotic expansion. The lemma used to ...

More specifically, a solution to the recurrence relation is a value that satisfies "if each child call terminates with probability t, the parent call terminates with probability t" but a solution to ...

Breast cancer is the most common non-cutaneous cancer in women, and the second most frequent cause of cancer death among women. 1 Approximately 50% of breast cancer cases are estrogen receptor ...