Shy couplings, \(\mathrm{CAT}(0)\) spaces, and the lion and man
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Publication:1951689
DOI10.1214/11-AOP723zbMath1274.60250arXiv1007.3199MaRDI QIDQ1951689
Wilfrid S. Kendall, Maury Bramson, Krzysztof Burdzy
Publication date: 24 May 2013
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.3199
Related Items (13)
Rigidity for Markovian maximal couplings of elliptic diffusions ⋮ A stochastic target approach to Ricci flow on surfaces ⋮ A uniform betweenness property in metric spaces and its role in the quantitative analysis of the ``lion-man game ⋮ Multi-dimensional BSDEs with mean reflection ⋮ Shy and fixed-distance couplings of Brownian motions on manifolds ⋮ Monotonicity of Avoidance Coupling on KN ⋮ Continuous pursuit curves on \(\mathrm{CAT}(K)\) spaces ⋮ Lion and man in non-metric spaces ⋮ Couplings of Brownian motions of deterministic distance in model spaces of constant curvature ⋮ An Upper Bound on the Size of Avoidance Couplings ⋮ Randomized weakly admissible meshes ⋮ Approximate capture in Gromov-Hausdorff close spaces ⋮ Rubber bands, pursuit games and shy couplings
Cites Work
- Total curvature and simple pursuit on domains of curvature bounded above
- Shy couplings
- Brownian couplings, convexity, and shyness
- Stochastic differential equations for multi-dimensional domain with reflecting boundary
- Lion and man -- can both win?
- On certain almost Brownian filtrations
- Rubber bands, pursuit games and shy couplings
- The Carnot-Carathéodory distance vis-à-vis the eikonal equation and the infinite Laplacian
- Stochastic differential equations with reflecting boundary conditions
- “Lion and Man”: A Postscript
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