DYNAMIC ISOPERIMETRY ON GRAPHS AND WEIGHTED RIEMANNIAN MANIFOLDS

DOI10.1017/S0004972718000850zbMath1402.37035OpenAlexW2885190014WikidataQ129389558 ScholiaQ129389558MaRDI QIDQ4559279

Eric Kwok

Publication date: 3 December 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972718000850

zbMATH Keywords

dynamical systemsisoperimetryLagrangian coherent structuresCheeger inequality

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds
• Partitions of networks that are robust to vertex permutation dynamics
• Dynamic isoperimetry and the geometry of Lagrangian coherent structures

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