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math.PR2026
Large deviations and the matrix product ansatz
Davide Gabrielli, Federica Iacovissi
We consider probability measures on , the set of sequences of symbols on a finite alphabet of length , that give a weight to each sequence in terms of a collection of m…
math.PR2025
Mixtures, Markov bridges and the matrix product ansatz
Davide Gabrielli, Federica Iacovissi
We give a probabilistic characterization of the set of measures that can be represented by the matrix product ansatz. By suitably enlarging the state space, we show that a probabil…
math.PR2008
From combinatorics to large deviations for the invariant measures of some multiclass particle systems
Davide Gabrielli
We prove large deviation principles (LDP) for the invariant measures of the multiclass totally asymmetric simple exclusion process (TASEP) and the multiclass Hammersely-Aldous-Diac…