An isometric embedding of the g(t)-Brownian motion with application in stability and homotopy group

DOI10.1142/S021949371950045XzbMath1435.58005OpenAlexW2923875807WikidataQ128190232 ScholiaQ128190232MaRDI QIDQ5213058

Claudia Luque Justo, Fabiano Borges da Silva, Diego S. Ledesma

Publication date: 31 January 2020

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949371950045x

zbMATH Keywords

stabilityBrownian motiontime-dependent metric

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)

Cites Work

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• The radial part of Brownian motion with respect to \(\mathcal L\)-distance under Ricci flow
• Coupling of Brownian motions and Perelman's \(\mathcal L\)-functional
• Brownian motion with respect to time-changing Riemannian metrics, applications to Ricci flow
• Non-explosion of diffusion processes on manifolds with time-dependent metric
• An integration by parts formula on path space over manifolds carrying geometric flow
• Martingales on manifolds with time-dependent connection
• Heat equation in vector bundles with time-dependent metric
• Brownian motion with respect to a metric depending on time; definition, existence and applications to Ricci flow
• Generalized Bochner theorems and the spectrum of complete manifolds
• Homotopy and homology vanishing theorems and the stability of stochastic flows
• A probabilistic method for gradient estimates of some geometric flows

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