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Preprint Oct 2026

Approach to Equilibrium in Translation-Invariant Quantum Systems: Structural Results II

We continue the development, started in [AHP 25 (2023), 715-749], of a structural theory of approach to equilibrium in translation-invariant quantum spin systems. Dynamical Steady States (DSS) are defined as w*-limit points of the time-averaged evolution of an initial state. We show that if a DSS is an equilibrium stat...

V. Jaksic, C. Pillet, Anna Szczepanek · 1 citation
Preprint Oct 2026

Extended States on the Bethe Lattice Revisited

We give a short proof of the classical weak-disorder result that the Anderson model on the Bethe lattice has purely absolutely continuous spectrum on compact intervals in the interior of the free spectrum. This note continues [6], where we gave a minimal proof of the existence of a nontrivial absolutely continuous comp...

V. Jaksic, Y. Last · 0 citations

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