Diffusions, Superdiffusions and Partial Differential Equations

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-measures for branching exit Markov systems and their applications to differential equations (2004, methodology): “Now we consider an (L, ψ)-superdiffusion (XD ,P µ) in a domain E ⊂ R d . A class of ψ for which such superdiffusions exist is described, for instance, in Chapter 4 of [ Dy02 ].”
Random Trees, Lévy Processes and Spatial Branching Processes (2005, background): “Recall that exit measures of superprocesses play a fundamental role in the connections with partial differential equations studied recently by Dynkin and Kuznetsov (a detailed account of these connections can be found in the book [13]).”
Nonlinear problems related to the Thomas-Fermi equation (2003, background): “Important motivations coming from the theory of probability—and the use of probabilistic methods—have reinvigorated the whole subject; see the pioneering papers of LeGall [45], the recent book of Dynkin [31], and the numerous references therein.”
Law of large numbers for a class of superdiffusions (2005, background): “(See Dynkin (1991, 2002) [3], [4] or Dawson (1993) [2] for the definition of superprocesses in general; see Engländer and Pinsky (1999) [6] for more on the definition in the particular setting above.”