37 citations · 41 across the 2 of their papers we have counts for
2 papers
math.PR2008★ 37 cited
Sharp error terms for return time statistics under mixing conditions
Miguel Abadi, Nicolas Vergne
We describe the statistics of repetition times of a string of symbols in a stochastic process. Denote by T(A) the time elapsed until the process spells the finite string A and by S…
math.PR2007★ 4 cited
Poisson approximation for search of rare words in DNA sequences
Nicolas Vergne, Miguel Abadi
Using recent results on the occurrence times of a string of symbols in a stochastic process with mixing properties, we present a new method for the search of rare words in biologic…