# Bibliography

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## Bibliography

<a id="bib-BerndlEtAl1995"></a>

[1] K. Berndl, D. Dürr, S. Goldstein, G. Peruzzi and N. Zanghì, On the Global Existence of Bohmian Mechanics, *Commun. Math. Phys.* **173** (1995), 647–674. [doi:10.1007/BF02101660](https://doi.org/10.1007/BF02101660); [arXiv:quant-ph/9503013](https://arxiv.org/abs/quant-ph/9503013).

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

[2] S. Teufel and R. Tumulka, Simple Proof for Global Existence of Bohmian Trajectories, *Commun. Math. Phys.* **258** (2005), 349–365. [doi:10.1007/s00220-005-1302-0](https://doi.org/10.1007/s00220-005-1302-0); [arXiv:math-ph/0406030](https://arxiv.org/abs/math-ph/0406030).

<a id="bib-DiPernaLions1989"></a>

[3] R. J. DiPerna and P.-L. Lions, Ordinary differential equations, transport theory and Sobolev spaces, *Invent. Math.* **98** (1989), 511–547. [doi:10.1007/BF01393835](https://doi.org/10.1007/BF01393835).

<a id="bib-Ambrosio2004"></a>

[4] L. Ambrosio, Transport equation and Cauchy problem for BV vector fields, *Invent. Math.* **158** (2004), 227–260. [doi:10.1007/s00222-004-0367-2](https://doi.org/10.1007/s00222-004-0367-2).

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

[5] G. Crippa and C. De Lellis, Estimates and regularity results for the DiPerna–Lions flow, *J. Reine Angew. Math.* **616** (2008), 15–46. [doi:10.1515/CRELLE.2008.016](https://doi.org/10.1515/CRELLE.2008.016). Author preprint: [Estimates_ODEs.pdf](https://www.math.ias.edu/delellis/sites/math.ias.edu.delellis/files/Estimates_ODEs.pdf).

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

[6] E. Stepanov and D. Trevisan, Three superposition principles: currents, continuity equations and curves of measures, *J. Funct. Anal.* **272** (2017), 1044–1103. [doi:10.1016/j.jfa.2016.10.025](https://doi.org/10.1016/j.jfa.2016.10.025); [arXiv:1512.05109](https://arxiv.org/abs/1512.05109).

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

[7] L. Ambrosio, M. Colombo and A. Figalli, Existence and Uniqueness of Maximal Regular Flows for Non-smooth Vector Fields, *Arch. Ration. Mech. Anal.* **218** (2015), 1043–1081. [doi:10.1007/s00205-015-0875-9](https://doi.org/10.1007/s00205-015-0875-9); [arXiv:1406.3701](https://arxiv.org/abs/1406.3701).

<a id="bib-SchmidGriesemer2014"></a>

[8] J. Schmid and M. Griesemer, Kato's Theorem on the Integration of Non-Autonomous Linear Evolution Equations, *Math. Phys. Anal. Geom.* **17** (2014), 265–271. [doi:10.1007/s11040-014-9154-5](https://doi.org/10.1007/s11040-014-9154-5); [arXiv:1203.4700](https://arxiv.org/abs/1203.4700).

<a id="bib-Yajima2016"></a>

[9] K. Yajima, Existence and Regularity of Propagators for Multi-Particle Schrödinger Equations in External Fields, *Commun. Math. Phys.* **347** (2016), 103–126. [doi:10.1007/s00220-016-2582-2](https://doi.org/10.1007/s00220-016-2582-2); [arXiv:1508.05724](https://arxiv.org/abs/1508.05724).

<a id="bib-RodgersPilot2026"></a>

[10] J. Rodgers, *A Deterministic Hybrid Medium for Bell Jump Paths and Autonomous Records*, version 2, research manuscript revising the September pilot-medium paper, 4 October 2026. [doi:10.5281/zenodo.23131075](https://doi.org/10.5281/zenodo.23131075).

<a id="bib-RodgersP1"></a>

[11] J. Rodgers, *Conditional Gaussian Preparation with Retained Archives*, revised companion manuscript, 2026. [doi:10.5281/zenodo.23259560](https://doi.org/10.5281/zenodo.23259560).

<a id="bib-RodgersP2"></a>

[12] J. Rodgers, *Effective Repeated Position Records with Retained Entropy and Calibrated Reset*, revised companion manuscript, 2026. [doi:10.5281/zenodo.23259558](https://doi.org/10.5281/zenodo.23259558).

<a id="bib-RodgersP4"></a>

[13] J. Rodgers, *Complete-Current Estimates for Coherent Quantum Sources and Continua*, companion manuscript, 2026. [doi:10.5281/zenodo.23259571](https://doi.org/10.5281/zenodo.23259571).

<a id="bib-KowalskiRembielinski2011"></a>

[14] K. Kowalski and J. Rembieliński, The Salpeter equation and probability current in the relativistic Hamiltonian quantum mechanics, *Phys. Rev. A* **84** (2011), 012108. [doi:10.1103/PhysRevA.84.012108](https://doi.org/10.1103/PhysRevA.84.012108); [arXiv:1110.5146](https://arxiv.org/abs/1110.5146).