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Logarithmic scaling of planar random walks local times

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 نشر من قبل P\\'eter N\\'andori
 تاريخ النشر 2016
  مجال البحث
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We prove that the local time process of a planar simple random walk, when time is scaled logarithmically, converges to a non-degenerate pure jump process. The convergence takes place in the Skorokhod space with respect to the $M1$ topology and fails to hold in the $J1$ topology.



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