Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map
arXiv:2308.04293
Abstract
We present a practical and effective method for rigorously estimating quantities associated to top eigenvalues of transfer operators to very high precision. The method combines explicit error bounds of the Lagrange-Chebyshev approximation with an established min-max method. We illustrate its applicability by significantly improving rigorous estimates on various ergodic quantities associated to the Bolyai-Rényi map.
21 pages, 3 figures