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Related lectures (32)

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Ruelle resonances: Geodesic Flow on Noncompact Manifolds

Explores geodesic flows on noncompact manifolds, focusing on pressures, real resonances, and Gibbs measures.

Thermodynamic formalism for coarse expanding dynamical systems

Explores thermodynamic formalism for weakly coarse expanding dynamical systems, covering equilibrium states, visual metrics, and symbolic coding.

Ruelle resonances for geodesic flow on noncompact manifolds

Explores Ruelle resonances for geodesic flow on noncompact manifolds.

Distance and geodesics: Distance, geodesics and complete manifolds

Covers the concept of distance induced by the Riemannian metric on manifolds.

Surface Geometry: Geodesics and Surface Area

Explores geodesics and surface area calculation for rotationally symmetric surfaces.

Geodesics and Surface Area

Explores geodesics as locally shortest paths and defines surface area using parametric squares.

3D Anosov Flows: Exponential Mixing and Geometric Properties

Explores the exponential mixing of 3D Anosov flows and their geometric properties, including chaotic behavior and hyperbolic dynamics.

Parallel Transport and Geodesics

Explores parallel transport along curves and geodesics maximizing proper time between points.

Geodesics and Parallel Transport

Explores geodesics, parallel transport, and the Riemann tensor on two-dimensional manifolds, emphasizing fundamental concepts in differential geometry.

Rotating Frame, Geodesics and Maxwell Equations

Covers exercises on rotating frame, geodesics, and Maxwell equations to deepen understanding of tensor quantities.