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If we denote $\tau_i$ the sequence of stopping times defined by: $\tau_i = \inf(t>\tau_{i-1} : |B(t)-B(\tau_{i-1})| > a)$, $\tau_0=0$.

If we denote N the number of stopping times below T.

What is the expectation of N (i.e. the average number of stopping times below T)?

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