Birth and Death on a Flow

  • Erhan Çinlar
  • John S. Kao
Part of the Progress in Probability book series (PRPR, volume 27)


In recent years there has been much interest in the equilibrium behavior of stochastic flows; see for instance Baxendale [1], Carverhill [2], Le Jan [6], [7] and [8]. Most of the work seems to be concentrated on the limiting distribution, as t → ∞, of the random measure
$${\mu _t}(\omega ,A) = {\mu _0}\{ x:F_{0,t}^\omega x \in A\} $$
for a stochastic flow F = {F s,t : 0 ≤ st ≤ ∞} and a given mass distribution μ0 with total mass 1. In some applications, notably in transport of pollutant particles by groundwater flows, one is interested in similar questions but with creation and annihilation of mass over time and space.


Random Measure Birth Process Poisson Random Measure Stochastic Flow Transition Semigroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Erhan Çinlar
    • 1
  • John S. Kao
    • 1
  1. 1.Princeton UniversityUSA

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