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Growth and co-growth in negatively curved groups: a dynamical point of view (part 1)
Multi angle
Authors : Coulon, Rémi (Author of the conference)
CIRM (Publisher )
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
37A15 - General groups of measure-preserving transformations
37A35 - Entropy and other invariants, isomorphism, classification
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
CIRM (Publisher )
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Abstract :
This mini-course is an introduction to growth problems in negatively curved groups with an emphasis on techniques borrowed from dynamical systems, in particular the study of geodesic flow on hyperbolic manifolds.
Keywords : Gromov hyperbolic spaces; growth rate; critical exponents; Patterson-Sullivan measures; amenability
MSC Codes : Keywords : Gromov hyperbolic spaces; growth rate; critical exponents; Patterson-Sullivan measures; amenability
20F65 - Geometric group theory
20F67 - Hyperbolic groups and nonpositively curved groups
37A15 - General groups of measure-preserving transformations
37A35 - Entropy and other invariants, isomorphism, classification
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 29/04/2022 Conference Date : 11/04/2022 Subseries : Research School arXiv category : Group Theory Mathematical Area(s) : Algebra ; Geometry Format : MP4 (.mp4) - HD Video Time : 01:16:57 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-04-11_Coulon.mp4 
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Information on the Event
Event Title : Groups Acting on Fractals / Groupes agissant sur des fractalesEvent Organizers : Dahmani, Francois ; Dymarz, Tullia ; Haïssinsky, Peter ; Horbez, Camille Dates : 11/04/2022 - 15/04/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2532.html
Citation Data
DOI : 10.24350/CIRM.V.19906203Cite this video as: Coulon, Rémi (2022). Growth and co-growth in negatively curved groups: a dynamical point of view (part 1). CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19906203 URI : http://dx.doi.org/10.24350/CIRM.V.19906203 |
See Also
- [Multi angle] The geometry and topology of automorphism groups of free groups (part 1) / Author of the conference Vogtmann, Karen.
- [Multi angle] Self-similar actions on Cantor sets (part 1) / Author of the conference Skipper, Rachel.
- [Multi angle] Embeddings between RAAGs (part 1) / Author of the conference Genevois, Anthony.
Bibliography
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