Theoretical estimate of convergence rates for primitive-cell approximations

Derive a theoretical estimate of the exponential convergence rate at which primitive-cell stability-exponent approximations approach the Bravais-lattice value for the spatiotemporal cat (e.g., at μ^2 = 1), and relate this rate to model parameters.

Background

The paper demonstrates numerically that stability-exponent estimates computed on larger primitive cells converge exponentially to the exact Bravais-lattice integral, with an observed rate close to the mass parameter in an example.

A theoretical derivation of this rate would substantiate the shadowing-based convergence rationale and quantify errors in practical computations.