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Improved regularity estimates for Lagrangian flows on RCD(K,N) spaces

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Updated at: 01-01-2026

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Boundary regularity and stability for spaces with Ricci bounded below

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Updated at: 01-01-2026

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Fundamental groups and the Milnor conjecture

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Updated at: 01-01-2026

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Periodic Reporting for period 5 - CURVATURE (Optimal transport techniques in the geometric analysis of spaces with curva...

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Updated at: 01-01-2026

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Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature

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Updated at: 01-01-2026

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Can you hear the Planck mass?

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Updated at: 01-01-2026

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Cut-and-paste for impulsive gravitational waves with [Formula: see text] : the mathematical analysis

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Updated at: 01-01-2026

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Monotonicity formula and stratification of the singular set of perimeter minimizers in RCD spaces

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Updated at: 01-01-2026

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Constancy of the dimension in codimension one and locality of the unit normal on $\mathrm{RCD}(K,N)$ spaces

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Updated at: 01-01-2026

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A reverse Hölder inequality for first eigenfunctions of the Dirichlet Laplacian on RCD(,) spaces

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Updated at: 01-01-2026

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Continuity of extensions of Lipschitz maps and of monotone maps

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Updated at: 01-01-2026

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Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds

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Updated at: 01-01-2026

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Matrix Hölder's Inequality and Divergence Formulation of Optimal Transport of Vector Measures

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Updated at: 01-01-2026

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On the notion of Laplacian bounds on spaces and applications

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Updated at: 01-02-2025

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Harmonic functions and gravity localization

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Updated at: 01-02-2025

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Cheeger bounds on spin-two fields

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Updated at: 01-02-2025

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Moduli spaces of compact RCD(0,N)-structures

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Updated at: 01-02-2025

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Cut-and-paste for impulsive gravitational waves with $\Lambda$: The mathematical analysis

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Updated at: 01-02-2025

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Lipschitz continuity and Bochner-Eells-Sampson inequality for harmonic maps from $\mathrm{RCD}(K,N)$ spaces to $\mathrm{...

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Updated at: 01-02-2025

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Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures

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Updated at: 01-02-2025

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An optimal transport formulation of the Einstein equations of general relativity

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Updated at: 01-02-2025

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The metric measure boundary of spaces with Ricci curvature bounded below

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Updated at: 01-02-2025

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A review of Lorentzian synthetic theory of timelike Ricci curvature bounds

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Updated at: 01-02-2025

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Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications

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Updated at: 01-02-2025

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Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds

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Updated at: 01-02-2025

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Gravity from thermodynamics: Optimal transport and negative effective dimensions

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Updated at: 01-02-2025

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Optimal transport of vector measures

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Updated at: 01-02-2025

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Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds

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Updated at: 01-10-2024

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Quantitative Obata's Theorem

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Updated at: 01-10-2024

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New formulas for the Laplacian of distance functions and applications

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Updated at: 27-04-2024

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