Loeb Measures in Practice: Recent Advances

By N. Cutland. 2000

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Equilibrium in Continuous-Time Financial Markets: Endogenously Dynamically Complete Markets (2007, unknown): “Then 18 Since the equilibrium is Pareto Optimal, the marginal utility of consumption is infinite at zero, the aggregate consumption is strictly positive at each node, and all agents have strictly positive income by Equation (4), the equilibrium consumptions of all agents are strictly positive at eac”
Geometric Group Theory (2018, methodology): “We refer to [Cut01] and [War12] for details of the construction of the Loeb measure space, which is the ultralimit of the measure spaces (Xi, μi).”
Alpha-theory: An elementary axiomatics for nonstandard analysis (2003, unknown): “[18]).”