Pemantle, Robin; Peres, Yuval; Pitman, Jim; Yor, Marc - Ohio State University; University of California, Berkeley; … - 2001
Consider the radial projection onto the unit sphereof the path a $d$-dimensional Brownian motion $W$,started at the …}$, the conditional probability that the projection of $W(1)$ is in $A$ given $mu(A)$ is just $mu(A)$. Nevertheless, in …, for $d ge 3$ the conditional law of the projection of $W(1)$ given $mu$ is not $mu$.In dimension 2 we conjecture thatthe …