Sign up or sign in

Ergodic optimization with linear constraints

Kevin McGoff ⟨kmcgoff1@charlotte.edu⟩

Abstract:

Let T:XX be a continuous map on a compact metrizable space, let f:XR be continuous, and let WC(X) be a closed subspace of continuous functions from X to R. We consider the set MW(X,T) of all T-invariant Borel probability measures μ such that gdμ=0 for all g in W. Then we consider optimization problems of the form maxfdμ+τh(μ), where μ ranges over MW(X,T), h(μ) denotes the entropy of μ with respect to T, and τ is either 0 or 1. Our main results concern the basic properties of such optimization problems, including feasibility, geometry of the solution set, uniqueness of solutions, and realizability. This talk is based on ongoing joint work with Shengwen Guo (UNC Charlotte).

Scheduled for: 2025-03-06 11:05 AM: Kevin McGoff in Forbes 2070D

Status: Accepted

Collection: Dynamical Systems

Back to collection