Martedì 14 Gennaio 2025 alle ore 16:30 (CET), nel quadro del ciclo di seminari Insalate di Matematica, Federica Iacovissi (Università degli Studi dell’Aquila) parlerà di
Titolo: Large Deviations for Rational Models and the Matrix Product Ansatz
Abstract: A rational model is a stochastic model for the random generation of words over a given alphabet A. This model defines a probability measure µN on AN in terms of matrices having rows and columns labeled by a finite or countable set B. By enlarging the state space, we show a natural approach to compute the large deviations rate functional for the measure µN. The invariant measures of several non equilibrium models of interacting particle systems can be represented by the so-called Matrix Product Ansatz which corresponds to a rational model with matrices labeled by B that is countable infinite. We focus on the MPA representation of the boundary-driven TASEP, and we discuss the approach for deriving a new LD rate functional for the process.
Keywords: large deviations rate functional, Matrix Product Ansatz, boundary-driven TASEP
Informazioni per partecipare
Il seminario si terrà in Aula 3014 (3° Piano) - Edificio U5, Università degli Studi di Milano-Bicocca e sarà possibile partecipare anche online da questo link (password: insalate, 46725283 from phones)
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