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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19269208 |
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Table of Contents:
- <p>Linear observables evolving under dissipative dynamics are shown<br>to admit a representation as Laplace transforms of signed spectral measures. Monotonicity is characterized by positivity of the measure. A<br>minimal monotone envelope is constructed via total variation, yielding<br>the smallest monotone function dominating the observable. A second<br>monotone functional is introduced to quantify spectral cancellation.<br>These results provide a unified structural description of monotonicity,<br>oscillation, and decay for linear observables under self-adjoint dissipative generators</p>