Regular Lie groups and a theorem of Lie-Palais
In 1984 Milnor had shown how to deduce the Lie-Palais theorem on integration of infinitesimal actions of finite-dimensional Lie algebras on compact manifolds from general theory of regular Lie groups modelled on locally convex spaces. We show how, in the
Pestov, Vladimir G.
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Lecture Notes on Gradient Flows and Optimal Transport [PDF]
We present a short overview on the strongest variational formulation for gradient flows of geodesically $\lambda$-convex functionals in metric spaces, with applications to diffusion equations in Wasserstein spaces of probability measures. These notes are
Daneri, Sara, Savaré, Giuseppe
core
Examples of differentiable mappings into non-locally convex spaces
Examples of differentiable mappings into real or complex topological vector spaces with specific properties are given, which illustrate the differences between differential calculus in the locally convex and the non-locally convex case.
Glockner, Helge
core
Median geometry for spaces with measured walls and for groups. [PDF]
Chatterji I, Druţu C.
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ABB Theorems: Results and Limitations in Infinite Dimensions. [PDF]
Daniilidis A +2 more
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Distributional Sectional Curvature Bounds for Riemannian Metrics of Low Regularity. [PDF]
Erös D +3 more
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Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces. [PDF]
Górny W.
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A quantum-inspired classification for random mixed states. [PDF]
Sergioli G +6 more
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General Perturbation Resilient Dynamic String-Averaging for Inconsistent Problems with Superiorization. [PDF]
Barshad K, Censor Y.
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On the Monotonicity of Relative Entropy: A Comparative Study of Petz's and Uhlmann's Approaches. [PDF]
Matheus S, Bottacin F, Provenzi E.
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