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Mirzakhani’s Curve Counting and Geodesic Currents

Viveka Erlandsson, Juan Souto
Springer International Publishing
128.39 € · Hardcover

Mirzakhani curve counting Counting closed geodesics Mirzakhani curve counting for non-simple curves Geodesic currents Geodesic currents of cusped surfaces Mapping class group Teichmüller space Train tracks hyperbolic surfaces Immersed train track Thurston measure Square-tiled surfaces Geometric structures on surfaces Dynamics induced by group actions Statistics of simple curves Random pants decomposition

This monograph presents an approachable proof of Mirzakhani’s curve counting theorem, both for simple and non-simple curves. Designed to welcome readers to the area, the presentation builds intuition with elementary examples before progressing to rigorous proofs. This approach illuminates new and ...

Mirzakhani’s Curve Counting and Geodesic Currents

Viveka Erlandsson, Juan Souto
Springer International Publishing
128.39 € · eBook

Mirzakhani curve counting Counting closed geodesics Mirzakhani curve counting for non-simple curves Geodesic currents Geodesic currents of cusped surfaces Mapping class group Teichmüller space Train tracks hyperbolic surfaces Immersed train track Thurston measure Square-tiled surfaces Geometric structures on surfaces Dynamics induced by group actions Statistics of simple curves Random pants decomposition

This monograph presents an approachable proof of Mirzakhani’s curve counting theorem, both for simple and non-simple curves. Designed to welcome readers to the area, the presentation builds intuition with elementary examples before progressing to rigorous proofs. This approach illuminates new and ...

Mirzakhani’s Curve Counting and Geodesic Currents

Viveka Erlandsson, Juan Souto
Springer International Publishing
128.39 € · Paperback

Mirzakhani curve counting Counting closed geodesics Mirzakhani curve counting for non-simple curves Geodesic currents Geodesic currents of cusped surfaces Mapping class group Teichmüller space Train tracks hyperbolic surfaces Immersed train track Thurston measure Square-tiled surfaces Geometric structures on surfaces Dynamics induced by group actions Statistics of simple curves Random pants decomposition

This monograph presents an approachable proof of Mirzakhani’s curve counting theorem, both for simple and non-simple curves. Designed to welcome readers to the area, the presentation builds intuition with elementary examples before progressing to rigorous proofs. This approach illuminates new and ...

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