Abstract
We continue our study of measure-valued processes which behave locally like (A, γ, g)-DW superprocesses, i.e., where A, γ, and g may depend on the current state, Xt, of the process. In this Chapter we allow the generator governing the spaticl motion, A, to depend on Xt. These results are taken from Perkins (1992), (1995). To simplify the exposition we set γ = 1 and g = 0, although as discussed below (in Section V.5) this restriction may be relaxed. Our approach may be used for a variety of dependencies of Ax, on Xt but we focus on the case of state dependent diffusion processes. Let
and set
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© 2002 Springer-Verlag Berlin Heidelberg
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(2002). Spatial Interactions. In: Bernard, P. (eds) Lectures on Probability Theory and Statistics. Lecture Notes in Mathematics, vol 1781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47944-9_9
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DOI: https://doi.org/10.1007/3-540-47944-9_9
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