Non-Source Projection and Internal Identifiability
References
References
99
[1] F. Ball and G. F. Yeo, Lumpability and marginalisability for continuous-time Markov chains, J. Appl. Probab. 30 (1993), 518–528.
[2] D. Blackwell, Comparison of experiments, in: Proc. Second Berkeley Symp. on Math. Statist. and Prob., Univ. of California Press, Berkeley, 1951, pp. 93–102.
[3] P. Buchholz, Exact and ordinary lumpability in finite Markov chains, J. Appl. Probab. 31 (1994), 59–75.
[4] T. tom Dieck, Transformation Groups, de Gruyter Studies in Mathematics 8, Walter de Gruyter, Berlin, 1987.
[5] K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Graduate Texts in Mathematics 194, Springer, New York, 2000.
[6] K. Gödel, Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I, Monatsh. Math. Phys. 38 (1931), 173–198.
[7] R. E. Kalman, Mathematical description of linear dynamical systems, J. SIAM Control Ser. A 1 (1963), 152–192.
[8] J. G. Kemeny and J. L. Snell, Finite Markov Chains, Van Nostrand, Princeton, 1960.
[9] L. Le Cam, Sufficiency and approximate sufficiency, Ann. Math. Statist. 35 (1964), 1419–1455.
[10] E. L. Lehmann and J. P. Romano, Testing Statistical Hypotheses, 3rd ed., Springer, New York, 2005.
[11] S. Mac Lane, Categories for the Working Mathematician, 2nd ed., Graduate Texts in Mathematics 5, Springer, New York, 1998.
[12] H. Mori, Transport, collective motion, and Brownian motion, Progr. Theoret. Phys. 33 (1965), 423–455.
[13] S. Nakajima, On quantum theory of transport phenomena: steady diffusion, Progr. Theoret. Phys. 20 (1958), 948–959.
[14] K. Yosida, Functional Analysis, 6th ed., Grundlehren der mathematischen Wissenschaften 123, Springer, Berlin, 1980.
[15] R. Zwanzig, Ensemble method in the theory of irreversibility, J. Chem. Phys. 33 (1960), 1338–1341.
[16] J. Rodgers, Source–Readout Non-Equivalence: Descent and Equivariant Reconstruction Obstructions, Zenodo, 2026. doi:10.5281/zenodo.21369967.
[17] J. Rodgers, Target-Relative Necessity of Completion: When Readout Loss Obstructs, and What a Sufficient Extension Must Retain, Zenodo, 2026. doi:10.5281/zenodo.21370501.
[18] J. Rodgers, Canonical Minimal Source Completion: The Coarsest Readout Extension on which a Nominated Family of Source Relations Becomes Well Defined, Zenodo, 2026. doi:10.5281/zenodo.21370763.
[19] J. Rodgers, Geometric Realization of Completed Source Relations: Descent, Orbit Spaces, Invariant Relations, and Variational Response in Shadow Theory, Zenodo, 2026. doi:10.5281/zenodo.21370985.
[20] J. Rodgers, Observable Quotients and Exact Projected Dynamics: Closure, Memory, Minimal Dynamical Completion, and Effective Field Operators, Zenodo, 2026. doi:10.5281/zenodo.21371251.