Abstract
Many systems do not change with time in a deterministic (unique) way. Hence for the change of a system from a certain state to one out of many possible other states often it is only transition probabilities that are given.
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Notes
- 1.
The terms state, system, etc. will be specified in Table 8.1 on page 165.
- 2.
This section can be omitted during a first reading.
- 3.
Each time \(t = t_0 + T\) at which the path \(\mathcal{C}_n\) can be found is understood as an occurence time T of the respective path. Consequently, the occurence times of a path \(\mathcal{C}_n\) must be distinguished from the waiting time which means the time period until the path \(\mathcal{C}_n\) appears for the first time.
- 4.
Some authors denote the jump moments as derivate moments or transition moments.
References
Pauli H (1928) In: Debye P (ed) Probleme der Modernen Physik. Hirzel, Leipzig
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Helbing, D. (2010). Master Equation in State Space. In: Quantitative Sociodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11546-2_3
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DOI: https://doi.org/10.1007/978-3-642-11546-2_3
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