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Stochastic finance. an introduction in discrete time
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Mon, 12 Feb 2024
14:15
L4

Palais-Smale sequences for the prescribed Ricci curvature functional

Artem Pulemotov
(University of Queensland, Australia)
Abstract

On homogeneous spaces, solutions to the prescribed Ricci curvature equation coincide with the critical points of the scalar curvature functional subject to a constraint. We provide a complete description of Palais--Smale sequences for this functional. As an application, we obtain new existence results for the prescribed Ricci curvature equation, which enables us to observe previously unseen phenomena. Joint work with Wolfgang Ziller (University of Pennsylvania).

Structural identifiability analysis of linear reaction-advection-diffusion processes in mathematical biology
 Browning, A Tască, M Falcó, C Baker, R (27 Sep 2023) https://arxiv.org/abs/2309.15326v3
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