Title: Matrix equilibrium states
Speaker: Mark Piraino
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:
In classical thermodynamic formalism equilibrium states maximize entropy plus the integral of a function over the space of invariant measures. In analogy matrix equilibrium states maximize entropy plus the maximal Lyapunov exponent of a matrix co-cycle. In this talk I will discuss matrix equilibrium states for 1-step co-cycles over a full shift. I will present a new way of constructing these measures which is based on the use of a transfer operator. In addition we will see how ergodic properties of these measures can be deduced from spectral properties of the transfer operator.Date: Tuesday, October 29, 2019