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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 $t = \tau_n$?

TShiong
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Samuel Waters
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  • Related: https://math.stackexchange.com/questions/3139908/notation-what-does-this-wedge-inside-the-integral-mean?noredirect=1 – Gonçalo Aug 08 '23 at 22:19

1 Answers1

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

Alan Chung
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    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. – Samuel Waters Aug 16 '23 at 20:07