In synthetic Lorentzian spaces, the timelike curvature dimension condition TCD_q(K,N) is equivalent to the timelike Brunn-Minkowski inequality TBM_q(K,N) in the q-essentially non-branching case, with a similar equivalence for the entropic version.
Springer, 2005
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A linearization-based Riccati feedback framework is constructed for McKean-Vlasov PDEs, proving local exponential stabilization and demonstrating acceleration on models including the noisy Kuramoto and O(2) spin systems.
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The equivalence between timelike Ricci curvature and the timelike Brunn Minkowski inequality on synthetic Lorentzian spaces
In synthetic Lorentzian spaces, the timelike curvature dimension condition TCD_q(K,N) is equivalent to the timelike Brunn-Minkowski inequality TBM_q(K,N) in the q-essentially non-branching case, with a similar equivalence for the entropic version.
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Linearization-Based Feedback Stabilization of McKean-Vlasov PDEs
A linearization-based Riccati feedback framework is constructed for McKean-Vlasov PDEs, proving local exponential stabilization and demonstrating acceleration on models including the noisy Kuramoto and O(2) spin systems.