We know that if $W_t$ is a Brownian motion, $W_{t+t_0}-W_{t_0}$ is one too.
Does the "converse" holds : I have a Brownian motion $W_t$ and I seek another Brownian motion, $W^*$ such that $W_t=W^*_{t+t_0}-W^*_{t_0}$ does such Brownian motion exists ?
2026-04-13 06:11:31.1776060691
Brownian motion increments
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