References
- Bateman, H., and A. Erdelyi. 1953. Higher transcendental functions. Vol. 1. New York: McGraw-Hill Book Company Inc.
- Bell, G. G. S. 1974. Theory of nuclear reactors. Moscow: Atomizdat.
- Bell, G. I. 1963. Probability distribution of neutrons and precursors in a multiplying assembly. Ann. Phys. 21 (2):243–83. doi:https://doi.org/10.1016/0003-4916(63)90108-8
- Bell, G. I. 1965. On the stochastic theory of neutron transport. Nucl. Sci. Eng. 21 (3):390–401. doi:https://doi.org/10.13182/NSE65-1
- Bell, G. I., W. A. Anderson, and D. Galbraith. 1963. Probability distribution of neutrons and precursors in a multiplying assembly. Part II. Nucl. Sci. Eng. 16 (1):118–23. doi:https://doi.org/10.13182/NSE63-2
- Bell, G. I., and S. Glasstone. 1970. Nuclear reactor theory. New York: Van Nostrand Reinhold.
- Bell, L. 1958. On the theory of stochastic processes in nuclear reactors. Nuovo Cimento Suppl. 7:25–42.
- Courant, E. D., and P. R. Wallace. 1947. Fluctuations of the number of neutrons in a pile. Phys. Rev. 72 (11):1038–48. doi:https://doi.org/10.1103/PhysRev.72.1038
- Feynman, R. P., F. de Hoffmann, and R. Serber. 1956. Dispersion of the neutron emission in U-235 fission. J. Nucl. Energy 3 (1–2):64–70. doi:https://doi.org/10.1016/0891-3919(56)90042-0
- Hadamard J. 1902. Sur les problemes aux derivees partielles et leur signification physique, 49–52. Princeton: Princeton University Bulletin.
- Hurwitz H., Jr., D. B. MacMillan, J. H. Smith, and M. L. Storm. 1963a. Kinetics of low source reactor startups. Part I. Nucl. Sci. Eng. 15 (2):166–186. doi:https://doi.org/10.13182/NSE63-4
- Hurwitz H., Jr., D. B. MacMillan, J. H. Smith, and M. L. Storm. 1963b. Kinetics of low source reactor startups. Part II. Nucl. Sci. Eng. 15 (2):187–196.
- MacMillan, D. B., and M. L. Storm. 1963. Kinetics of low source reactor startups. Part III. Nucl. Sci. Eng. 16 (4):369–80. doi:https://doi.org/10.13182/NSE63-A26547
- Matthes, W. 1962. Statistical fluctuations and their correlations in reactor neutron distribution. Nukleonik 4:213–26.
- Pázsit, I., and A. Enqvist. 2008. Neutron noise in zero power systems. A primer in the physics of branching processes. Gothenburg, Sweden: Chalmers University of Technology.
- Pázsit, I., and L. Pál. 2008. Neutron fluctuations: A treatise on the physics of a branching processes. Amsterdam: Elsevier.
- Prinja, A. K., and F. J. Souto. 2010. Some considerations on stochastic neutron populations. Nucl. Sci. Eng. 102:255–7.
- Tikhonov, A. N. On the solution of ill-posed problems and the method of regularization. DAN, USSR, No. 3, 1963. 501–4.
- Tikhonov, A. N., and V. Ya. Arsenin. 1979. Ill-posed problems solving methods. Moscow: Science.
- Uchaikin, V. V. 1979. The theory of cascade process nonlinear measurements and the statement of backward problems. Proc. 16-th IGRC Kyoto 7:24–9.
- Williams, M. M. R. 1974. Random processes in nuclear reactors. Oxford: Pergamon Press.
- Williams, M. M. R., and M. D. Eaton. 2017. A theory of low source start-up based on the Pál-Bell equations. Ann. Nucl. Energy 102:317–48. doi:https://doi.org/10.1016/j.anucene.2016.12.014
- Winter, G. E., C. M. Cooling, M. M. R. Williams, and M. D. Eaton. 2018. Importance of parametric uncertainty in predicting probability distributions for burst wait-times in fissile systems. Ann. Nucl. Energy 119:117–28. doi:https://doi.org/10.1016/j.anucene.2018.04.026