Let W be a one-dimensional Brownian motion and let L 0 be the local time at 0. Let T t be the inverse of L 0 , that is,   Show T t is a Levy process and determine the L´evy´ measure. Let W t be a...

Let W be a one-dimensional Brownian motion and let L⁰
be the local time at 0. Let T_t
be the inverse of L⁰, that is,
  Show T_t
is a Levy process and determine the L´evy´ measure.

Let W_t
be a one-dimensional Brownian motion, L^y
_t
the local time at level y, and T_t
the inverse local time at 0, that is,
  be fixed. Prove that
  is a Levy process.