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Strange right-arrow symbol ([itex]\mapsto[/itex]) in stochastic calculus.

  1. Nov 8, 2012 #1
    What does the right arrow mean in this context:

    ...Then the process [itex]t \mapsto \int_{0}^t \phi_s dM_s[/itex] are well-defined continuous local martingales, whose quadratic variations are given by ...


    Is this supposed to mean "the process [itex]X[/itex] that is the mapping [itex]X: t \mapsto \int_{0}^t \phi_s dM_s[/itex]"
  2. jcsd
  3. Nov 9, 2012 #2


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    Yes, that indicates a "mapping". t is mapped to [itex]\int_0^t \phi_s dM_s[/itex].
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