# Bibliography

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## Bibliography

<a id="bib-AGGaussian"></a>

[1] Mahmoud Abdelgalil and Tryphon T. Georgiou.  The holonomy of optimal mass transport: The Gaussian-linear case, 2025.  URL [https://arxiv.org/abs/2408.14707v2](https://arxiv.org/abs/2408.14707v2).  Version 2, 12 August 2025.

<a id="bib-AGSmooth"></a>

[2] Mahmoud Abdelgalil and Tryphon T. Georgiou.  The holonomy of optimal mass transport: The smooth case, 2026.  URL [https://arxiv.org/abs/2608.15585v2](https://arxiv.org/abs/2608.15585v2).  Version 2, 26 August 2026.

<a id="bib-DGZ1992"></a>

[3] Detlef Dürr, Sheldon Goldstein, and Nino Zanghì.  Quantum equilibrium and the origin of absolute uncertainty.  *Journal of Statistical Physics*, 67:843–907, 1992.  [doi:10.1007/BF01049004](https://doi.org/10.1007/BF01049004).  URL [https://arxiv.org/abs/quant-ph/0308039](https://arxiv.org/abs/quant-ph/0308039).

<a id="bib-DGZ2004"></a>

[4] Detlef Dürr, Sheldon Goldstein, and Nino Zanghì.  Quantum equilibrium and the role of operators as observables in quantum theory.  *Journal of Statistical Physics*, 116:959–1055, 2004.  [doi:10.1023/B:JOSS.0000037234.80916.d0](https://doi.org/10.1023/B:JOSS.0000037234.80916.d0).  URL [https://sites.math.rutgers.edu/~oldstein/papers/op.pdf](https://sites.math.rutgers.edu/~oldstein/papers/op.pdf).

<a id="bib-Folland1989"></a>

[5] Gerald B. Folland.  *Harmonic Analysis in Phase Space*, volume 122 of *Annals of Mathematics Studies*.  Princeton University Press, 1989.  [doi:10.1515/9781400882427](https://doi.org/10.1515/9781400882427).

<a id="bib-Genoni2012"></a>

[6] Marco G. Genoni, Alessio Serafini, M. S. Kim, and Daniel Burgarth.  Dynamical recurrence and the quantum control of coupled oscillators.  *Physical Review Letters*, 108:150501, 2012.  [doi:10.1103/PhysRevLett.108.150501](https://doi.org/10.1103/PhysRevLett.108.150501).  URL [https://arxiv.org/abs/1110.5584](https://arxiv.org/abs/1110.5584).

<a id="bib-GS2007"></a>

[7] Sheldon Goldstein and Ward Struyve.  On the uniqueness of quantum equilibrium in Bohmian mechanics.  *Journal of Statistical Physics*, 128:1197–1209, 2007.  [doi:10.1007/s10955-007-9354-5](https://doi.org/10.1007/s10955-007-9354-5).  URL [https://arxiv.org/abs/0704.3070](https://arxiv.org/abs/0704.3070).

<a id="bib-Mackey2016"></a>

[8] Lester Mackey and Jackson Gorham.  Multivariate Stein factors for a class of strongly log-concave distributions.  *Electronic Communications in Probability*, 21(56):1–14, 2016.  [doi:10.1214/16-ECP15](https://doi.org/10.1214/16-ECP15).  URL [https://arxiv.org/abs/1512.07392v6](https://arxiv.org/abs/1512.07392v6).  Corrected preprint: arXiv:1512.07392v6, 23 November 2016.

<a id="bib-Patra2017"></a>

[9] Ayoti Patra and Christopher Jarzynski.  Shortcuts to adiabaticity using flow fields.  *New Journal of Physics*, 19:125009, 2017.  [doi:10.1088/1367-2630/aa924c](https://doi.org/10.1088/1367-2630/aa924c).  URL [https://arxiv.org/abs/1707.01490](https://arxiv.org/abs/1707.01490).

<a id="bib-ReedSimonII"></a>

[10] Michael Reed and Barry Simon.  *Methods of Modern Mathematical Physics. II: Fourier Analysis, Self-Adjointness*.  Academic Press, New York, 1975.

<a id="bib-OriginalMassive"></a>

[11] Jeremy Rodgers.  A massive configuration completion of the quantum measurement programme, 2026a.  Author preprint. DOI: [10.5281/zenodo.22774739](https://doi.org/10.5281/zenodo.22774739).

<a id="bib-OriginalMonograph"></a>

[12] Jeremy Rodgers.  Shadow theory and quantum measurement: Source dynamics, event laws, and physical records. two constitutive completions, 2026b.  Author preprint. DOI: [10.5281/zenodo.22774584](https://doi.org/10.5281/zenodo.22774584).

<a id="bib-OriginalPilot"></a>

[13] Jeremy Rodgers.  A deterministic pilot medium: Bell path selection and autonomous material records, 2026c.  Author preprint. DOI: [10.5281/zenodo.22774634](https://doi.org/10.5281/zenodo.22774634).

<a id="bib-PortfolioEquilibrium"></a>

[14] Jeremy Rodgers.  Autonomous quantum measurement chains with faithful equilibrium records, 2026d.  Author preprint. DOI: [10.5281/zenodo.23131069](https://doi.org/10.5281/zenodo.23131069).

<a id="bib-PortfolioPilot"></a>

[15] Jeremy Rodgers.  A deterministic hybrid medium for Bell jump paths and autonomous records, 2026e.  Author preprint. DOI: [10.5281/zenodo.23131075](https://doi.org/10.5281/zenodo.23131075).

<a id="bib-PortfolioRecords"></a>

[16] Jeremy Rodgers.  Nonequilibrium calibration and faithful records in autonomous effective measurement models, 2026f.  Author preprint. DOI: [10.5281/zenodo.23131081](https://doi.org/10.5281/zenodo.23131081).

<a id="bib-PortfolioReturn"></a>

[17] Jeremy Rodgers.  Preparation-return holonomy and equilibrium uniqueness in engineered interacting networks, 2026g.  Author preprint. DOI: [10.5281/zenodo.23131064](https://doi.org/10.5281/zenodo.23131064).

<a id="bib-RandomizedReport"></a>

[18] Jeremy Rodgers.  Randomized exact returns as a preparation device: Finite-time obstruction and recoverable controller memory.  Research report, version 1.0, 7 September 2026. The results used here are proved in the present article, 2026h.

<a id="bib-Rodgers2026"></a>

[19] Jeremy Rodgers.  Control consistency and Born equilibrium: Uniqueness from local potentials and fixed interactions.  Manuscript. DOI: [10.5281/zenodo.23131058](https://doi.org/10.5281/zenodo.23131058), 2026i.

<a id="bib-Teschl2009"></a>

[20] Gerald Teschl.  *Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators*, volume 99 of *Graduate Studies in Mathematics*.  American Mathematical Society, 2009.  URL [https://www.mat.univie.ac.at/~gerald/ftp/book-schroe/schroe.pdf](https://www.mat.univie.ac.at/~gerald/ftp/book-schroe/schroe.pdf).  Author-posted edition; spectral theorem and functional calculus.