Expectations and martingales in metric spaces

DOI10.1080/17442500701433640zbMath1216.60041OpenAlexW1987519928MaRDI QIDQ5451158

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Publication date: 18 March 2008

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442500701433640

zbMATH Keywords

conditional expectationharmonic mapsAlexandrov spacebarycenterNPC

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Martingales with continuous parameter (60G44)

Related Items (3)

Approach for a metric space with a convex combination operation and applications ⋮ Spectral calculus and Lipschitz extension for barycentric metric spaces ⋮ Nonpositive curvature is not coarsely universal

Cites Work

• Martingales on Riemannian manifolds with prescribed limit
• A semigroup approach to harmonic maps
• Nonlinear martingale theory for processes with values in metric spaces of nonpositive curvature
• Stochastic calculus and martingales on trees
• Transport inequalities, gradient estimates, entropy and Ricci curvature
• Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
• The Propeller: A Counterexample to a Conjectured Criterion for the Existence of Certain Convex Functions
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