In dimension 2, we have the Schramm and Loewner evolutions, very nice processes which are invariant by conformal maps (up to time-changes).
https://link.springer.com/chapter/10.1007/978-3-540-39982-7_2
In dimension 2, we have the Schramm and Loewner evolutions, very nice processes which are invariant by conformal maps (up to time-changes).
https://link.springer.com/chapter/10.1007/978-3-540-39982-7_2