Thick points for planar Brownian motion and the ErdSs-Taylor conjecture on random walk

@inproceedings{Dembo2000ThickPF,
  title={Thick points for planar Brownian motion and the ErdSs-Taylor conjecture on random walk},
  author={Amir Dembo},
  year={2000}
}
and conjectured that the limit exists and equals 1/Tr a.s. The importance of determining the value of this limit is clarified in (1.3) below, where this value appears in the power laws governing the local time of the walk. The Erd6s-Taylor conjecture was quoted in the book by R~v~sz [19, w but to the best of our knowledge, the bounds in (1.1) were not improved prior to the present paper. As it turns out, an important step towards our solution of the Erd6s-Taylor conjecture was the formulation… CONTINUE READING
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