I understand that $\land$ denotes a conjunction, but what does this mean when applied to stochastic processes? I have come across part of my Stochastic Calculus notes that features reference to the process:

$$X(t \land \tau_n)_{t \in \left[0, T\right]}$$

where $\tau_n$ is the $n$th in a sequence of stopping times. Does this mean that the process $X$ can only take as input values such that $t = \tau_n$?


1 Answer 1


It's the min function. So $a \wedge b = \text{min}(a,b)$.

  • 1
    $\begingroup$ Thank you very much! This was not explained in my notes anywhere so I think I was just assumed to have known this from the get-go. $\endgroup$ Aug 16, 2023 at 20:07

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