English

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

R2 v1 2026-06-28T20:40:50.232Z