Stochastic particle approximations for the Ricci flow on surfaces and the Yamabe flow

DOI10.1007/s11118-010-9216-7zbMath1228.53079OpenAlexW2156786591MaRDI QIDQ645039

Robert Philipowski

Publication date: 8 November 2011

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: http://orbilu.uni.lu/handle/10993/13473

zbMATH Keywords

Yamabe flowRicci flow on surfacesstochastic interacting particle system

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22)

Related Items (1)

An entropy formula for the heat equation on manifolds with time-dependent metric, application to ancient solutions

Cites Work

• The Ricci flow on the 2-sphere
• Large systems of interacting particles and the porous medium equation
• Convergence of the Yamabe flow for arbitrary initial energy
• Interacting diffusions approximating the porous medium equation and propagation of chaos
• Derivation of a porous medium equation from many Markovian particles and the propagation of chaos
• Global existence and convergence of Yamabe flow
• A microscopic mechanism for the porous medium equation
• Combinatorial Ricci flows on surfaces.
• Probabilistic approximation for a porous medium equation.
• Convergence of the Yamabe flow in dimension 6 and higher
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• Convergence of the Yamabe flow for large energies
• COMBINATORIAL YAMABE FLOW ON SURFACES
• Real Analysis and Probability
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