Monotonicity and rigidity of the \(\mathcal{W}\)-entropy on \(\mathsf{RCD} (0, N)\) spaces
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Publication:2222918
DOI10.1007/s00229-019-01177-yzbMath1461.53032arXiv1811.07228OpenAlexW3002883744MaRDI QIDQ2222918
Publication date: 27 January 2021
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.07228
Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
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Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments ⋮ Monotonicity formulas for harmonic functions in \(\mathrm{RCD}(0,N)\) spaces
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