Computing Your Ideal Haircut Routine
Probability
2024-12-19 v1
Abstract
We introduce stochastically resetting deterministic processes -- the simplest subclass of general resetting stochastic processes -- finding them to be repackaged renewal processes. In particular, we consider the stochastically resetting deterministic process undergoing linear growth of rate 1 subject to Poissonian resetting and deduce its marginal, expectation, and variance. Then, using these results, we construct a stochastic model for hair growth subject to regular haircuts and use this model to prescribe the reader's ideal haircut routine.
Keywords
Cite
@article{arxiv.2412.14066,
title = {Computing Your Ideal Haircut Routine},
author = {Blake Pehrson},
journal= {arXiv preprint arXiv:2412.14066},
year = {2024}
}
Comments
21 pages, 5 figures