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- W3101371823 abstract "We prove full Szegő-type large-box trace asymptotics for selfadjoint $${mathbb{Z}^d}$$ -ergodic operators $${Omegani omegamapsto H_omega}$$ acting on $${L^2(mathbb{R}^d)}$$ . More precisely, let g be a bounded, compactly supported and real-valued function such that the (averaged) operator kernel of $${g(H_omega)}$$ decays sufficiently fast, and let h be a sufficiently smooth compactly supported function. We then prove a full asymptotic expansion of the averaged trace $${{rm Tr}left( h(g(H_omega)_{[-L,L]^d}) right)}$$ in terms of the length-scale L." @default.
- W3101371823 created "2020-11-23" @default.
- W3101371823 creator A5068048266 @default.
- W3101371823 date "2018-06-18" @default.
- W3101371823 modified "2023-09-27" @default.
- W3101371823 title "Full Szegő-Type Trace Asymptotics for Ergodic Operators on Large Boxes" @default.
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- W3101371823 doi "https://doi.org/10.1007/s00220-018-3161-5" @default.
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