2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121574The arbitrary functions principle says that the fractional part of $nX$ converges stably to an independent random variable uniformly distributed on the unit interval, as soon as the random variable $X$ possesses a density or a characteristic function vanishing at infinity. We prove a similar property for random variables defined on the Wiener space when the stochastic measure $dB\_s$ is crumpled on itself.Probability31C25 60H07text