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XI: 33, 490-492, LNM 581 (1977)
WALSH, John B.
A property of conformal martingales (Martingale theory)
Almost every path of a (complex) conformal martingale on the open time interval $]0,\infty[$ has the following behaviour at time $0$: either it has a limit in the Riemann sphere, or it is everywhere dense