A function f is Holder continuous of order ¨ α at a point t if there exists c such that      Suppose α > 1/2 and W t is a Brownian motion. Show that the event   is Holder continuous of order ¨ α at t)...

A function f is Holder continuous of order ¨ α at a point t if there exists c such that
  Suppose α > 1/2 and W_t
is a Brownian motion. Show that the event

  is Holder continuous of order ¨ α at t) has probability 0.