Abstract
Boltzmann tallies are the linear functionals on the solutions of Boltzmann equations. Monte Carlo methods based on the Neumann–Ulam scheme can be used to estimate the Boltzmann tallies. However, not all real-world calculations can be represented in that form. The pulse height tally is an example of a non-Boltzmann tally. Some variance reduction techniques to estimate non-Boltzmann tallies were introduced by Booth. The main idea is to consider the branching trajectory as an indivisible collection of tracks, which is referred to as a supertrack. In this paper, the supertrack approach is derived from a general probability theoretic approach.
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Tsvetkov, E. (2014). The Supertrack Approach as a Classical Monte Carlo Scheme. In: Melas, V., Mignani, S., Monari, P., Salmaso, L. (eds) Topics in Statistical Simulation. Springer Proceedings in Mathematics & Statistics, vol 114. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2104-1_49
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DOI: https://doi.org/10.1007/978-1-4939-2104-1_49
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