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Superprocesses and their linear additive functionals

Superprocesses and their linear additive functionals

Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper X equals left-parenthesis upper X Subscript t Baseline comma upper P right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>X</mml:mi> <mml:mo>=</mml:mo> <mml:mo stretchy="false">(</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>X</mml:mi> <mml:mi>t</mml:mi> </mml:msub> </mml:mrow> <mml:mo>,</mml:mo> <mml:mi>P</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">X = ({X_t},P)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a measure-valued stochastic process. Linear functionals …