Let (left(B_{t}ight)_{t geqslant 0}) be a (mathrm{BM}^{d}). Find (mathbb{E} tau_{R}) where (tau_{R}=inf left{t geqslant 0:left|B_{t}ight|=Right}).

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Let \(\left(B_{t}ight)_{t \geqslant 0}\) be a \(\mathrm{BM}^{d}\). Find \(\mathbb{E} \tau_{R}\) where \(\tau_{R}=\inf \left\{t \geqslant 0:\left|B_{t}ight|=Right\}\).

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