93 citations · 513 across the 46 of their papers we have counts for
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General limit distributions for sums of random variables with a matrix product representation
Florian Angeletti, Eric Bertin, Patrice Abry
The general limit distributions of the sum of random variables described by a finite matrix product ansatz are characterized. Using a mapping to a Hidden Markov Chain formalism, no…
Large deviations for correlated random variables described by a matrix product ansatz
Florian Angeletti, Hugo Touchette, Eric Bertin +1
We study the large deviations of sums of correlated random variables described by a matrix product ansatz, which generalizes the product structure of independent random variables t…
Statistics of sums of correlated variables described by a matrix product ansatz
Florian Angeletti, Eric Bertin, Patrice Abry
We determine the asymptotic distribution of the sum of correlated variables described by a matrix product ansatz with finite matrices, considering variables with finite variances.…
On the existence of a glass transition in a Random Energy Model
Florian Angeletti, Eric Bertin, Patrice Abry
We consider a generalized version of the Random Energy Model in which the energy of each configuration is given by the sum of independent contributions ("local energies") with…
Matrix products for the synthesis of stationary time series with a priori prescribed joint distributions
Florian Angeletti, Eric Bertin, Patrice Abry
Inspired from non-equilibrium statistical physics models, a general framework enabling the definition and synthesis of stationary time series with a priori prescribed and controlle…
Matrix product representation and synthesis for random vectors: Insight from statistical physics
Florian Angeletti, Eric Bertin, Patrice Abry
Inspired from modern out-of-equilibrium statistical physics models, a matrix product based framework permits the formal definition of random vectors (and random time series) whose…