Solar energy paper index
Effective Intrinsic Ergodicity for renewal-type potentials on S-gap shifts
One-line summary
A solar energy research paper on Effective Intrinsic Ergodicity for renewal-type potentials on S-gap shifts.
Engineering notes
Engineering notes will be added by the Power for Solar editorial team.
Chinese explanation / 中文解读
中文解读待补充：本站会优先为光伏效率、钙钛矿太阳能电池、储能技术、太阳能热利用、BIPV、并网技术等高价值论文补充中文说明。
Original abstract
We establish effective intrinsic ergodicity for renewal-type potentials on one-sided \(S\)-gap shifts. Inducing on the one-symbol cylinder \([1]\) reduces the system to a full shift over the alphabet \(S\), where the induced potential becomes a one-symbol potential and the equilibrium measure is Bernoulli. The associated renewal equation has a unique solution \(P\), and under the condition \(P>φ(0^\infty)\) (automatic when \(S\) is infinite), we show that \(P\) is the topological pressure and that the potential admits a unique equilibrium state \(μ_φ\). Our main result is an effective intrinsic ergodicity estimate: invariant measures whose free energy is within \(Δ\) of the pressure are \(O(\sqrtΔ)\)-close to \(μ_φ\) when tested against Hölder observables. As an application, every finite-word cylinder of positive \(μ_φ\)-measure yields a uniform pressure gap for the set of orbits avoiding that cylinder, leading in the entropy case to strict entropy and Hausdorff-dimension gaps.
Links and sources
Need this topic turned into a technical roadmap?
Power for Solar can prepare a custom solar energy literature review, simulation code map, dataset map, and B2B photovoltaic technology assessment.
Request B2B research
Comments