Typical Ground States for Large Sets of Interactions

2020/09/05 by Aernout C. D. van Enter, Aernout van Enter, Jacek Miȩkisz +1
Mathematics · Physics and Astronomy · #Ground state #Mathematical Dynamics and Fractals #Mathematics #Mixing (physics) #Physics #Quantum mechanics #Spectrum (functional analysis) #State (computer science) #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Theoretical physics #cond-mat.stat-mech #math-ph #math.DS #math.MP

paper · pdf · doi:10.1007/s10955-020-02647-4

published as J. Stat.Phys. 181, 1906--1914 (2020) · 15 pages, submitted to J. Stat. Phys

arxiv created 2020/09/05 · openalex publication_date 2020/09/29 · arxiv updated 2020/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract We discuss what ground states for generic interactions look like. We note that a recent result, due to Morris, implies that the behaviour of ground-state measures for generic interactions is similar to that of generic measures. In particular, it follows from his observation that they have singular spectrum and that they are weak mixing, but not mixing.

Citations

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