Tuesday 14 January 2025 at 4:30 pm (CET), as part of the Insalate di Matematica seminar cycle, Federica Iacovissi (University of L'Aquila) will talk about
Title: 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
Information to attend
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca and will also be available online from this link (password: insalate, 46725283 from phones)
For more information, visit the website