Mirzakhani's Curve Counting and Geodesic Currents
portes grátis
Mirzakhani's Curve Counting and Geodesic Currents
Parlier, Hugo; Souto, Juan; Erlandsson, Viveka
Birkhauser Verlag AG
09/2022
226
Dura
Inglês
9783031087042
15 a 20 dias
517
Descrição não disponível.
1. Introduction.- 2. Read Me.- 3. Geodesic Currents.- 4. Train Tracks.- 5. Radallas.- 6. Subconvergence of Measures.- 7. Approximating the Thurston Measure.- 8. The Main Theorem.- 9. Counting Curves.- 10. Counting Square Tiled Surfaces.- 11. Statistics of Simple Curves.- 12. Smoergasbord.- A. Radon Measures.- B. Computing Thurston Volumes.- References.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Mirzakhani curve counting;Counting closed geodesics;Mirzakhani curve counting for non-simple curves;Geodesic currents;Geodesic currents of cusped surfaces;Mapping class group;Teichmueller 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
1. Introduction.- 2. Read Me.- 3. Geodesic Currents.- 4. Train Tracks.- 5. Radallas.- 6. Subconvergence of Measures.- 7. Approximating the Thurston Measure.- 8. The Main Theorem.- 9. Counting Curves.- 10. Counting Square Tiled Surfaces.- 11. Statistics of Simple Curves.- 12. Smoergasbord.- A. Radon Measures.- B. Computing Thurston Volumes.- References.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Mirzakhani curve counting;Counting closed geodesics;Mirzakhani curve counting for non-simple curves;Geodesic currents;Geodesic currents of cusped surfaces;Mapping class group;Teichmueller 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