What is the reason for considering the spaces of probability measures on the space of all continuous functions and then considering weak convergence there ? Is it that we can then use Skorohod's theorem and then prove a.s. convergence in the space of continuous functions ? But, what is the meaning of it ? That space has nothing random. Does this make sense ?
2026-03-30 13:37:33.1774877853
Weak convergence of probability measure on $\mathscr{C[0,\infty]}$
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