Derandomization of Euclidean Random Walks

نویسندگان

  • Ilia Binder
  • Mark Braverman
چکیده

We consider the problem of derandomizing random walks in the Euclidean space R. We show that for k = 2, and in some cases in higher dimensions, such walks can be simulated in Logspace using only poly-logarithmically many truly random bits. As a corollary, we show that the random walk can be deterministically simulated in space O(logn √ log log n), where 1/n is the desired precision of the simulation.

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تاریخ انتشار 2007