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Let Xt={X(t),Ã¢Â€Â‰tÃ¢Â‰Â¥0} be a one-dimensional symmetric Cauchy process. We prove that, for any measure function, ÃÂ†,ÃÂ†Ã¢ÂˆÂ’p(X[0,ÃÂ„]) is zero or infinite, where ÃÂ†Ã¢ÂˆÂ’p(E) is the ÃÂ†-packing measure of E, thus solving a problem posed by Rezakhanlou and Taylor in 1988

The Packing Measure of the Trajectory of a One-Dimensional Symmetric Cauchy Process