In both estimation and calibration studies, the notion of ergodicity plays a fundamental role, permitting time series … quantitative modeling do not satisfy the classical ergodicity conditions. In this paper we develop a new set of ergodicity …’s notable that the classical ergodicity results can be recovered as a special case of our main theorem. …

. Lett. 63 (2003) 173] have established a hierarchical connection between mixing, ergodicity, and the fluctuation …–dissipation theorem (FDT). This hierarchy means that ergodicity is a necessary condition for the validity of the FDT, and mixing is a … necessary condition for ergodicity. In this work, we compare those results with recent investigations using the Lee recurrence …

critical point is governed by fluctuations violating fluctuation–dissipation theorem (FDT). The temperature of ergodicity …

restoration of ergodicity. We discuss some of the general implications of our work, including the direct connection to topological …