37 citations · 74 across the 9 of their papers we have counts for
5 papers · 1 filter
Potential well in Poincaré recurrence
Miguel Abadi, Vitor G. de Amorim, Sandro Gallo
From a physical/dynamical system perspective, the potential well represents the proportional mass of points that escape the neighbourhood of a given point. In the last 20 years, se…
Clustering indices and decay of correlations in non-Markovian models
Miguel Abadi, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas
When there is no independence, abnormal observations may have a tendency to appear in clusters instead of scattered along the time frame. Identifying clusters and estimating their…
From the divergence between two measures to the shortest path between two observables
Miguel Abadi, Rodrigo Lambert
We consider two independent and stationary measures over , where finite or countable alphabet. For each pair of -strings in the product space we define $T_n^{(…
The distribution of the overlapping function
Miguel Abadi, Rodrigo Lambert
We consider the set of finite sequences of length n over a finite or countable alphabet C. We consider the function which associate each given sequence with the size of the maximum…
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…