37 citations · 74 across the 9 of their papers we have counts for
10 papers
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…
The complete -spectrum and large deviations for return times for equilibrium states with summable potentials
M. Abadi, V. Amorim, J. -R. Chazottes +1
Let be a stationary and ergodic process with joint distribution where the random variables take values in a finite set . Let be the f…
Metastability and Multiscale Extinction Time on a Finite System of Interacting Stochastic Chains
L. Brochini, M. Abadi
We studied metastability and extinction time of a finite system with a large number of interacting components in discrete time by means of analytical and numerical investigation. T…
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…
Dynamical counterexamples regarding the Extremal Index and the mean of the limiting cluster size distribution
Miguel Abadi, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas
The Extremal Index is a parameter that measures the intensity of clustering of rare events and is usually equal to the reciprocal of the mean of the limiting cluster size distribut…
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^{(…