2000 character limit reached
Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map (2308.04293v1)
Published 8 Aug 2023 in math.DS, cs.NA, and math.NA
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-R\'enyi map.