The Codimension of the Zeros of a Stable Process in Random Scenery

نویسندگان

  • Davar Khoshnevisan
  • D. Khoshnevisan
چکیده

A stable process in random scenery is the continuum limit of a class of random walks in random scenery that is described as follows. A random scenery on Z is a collection, {y(0), y(±1), y(±2), . . .}, of i.i.d. mean-zero variance-one random variables. Given a collection x = {x1, x2, . . . } of i.i.d. random variables, we consider the usual random walk n 7→ sn = x1+ · · ·+xn which leads to the following random walk in random scenery :

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تاریخ انتشار 2005