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Bijections between walks inside a triangular domain and Motzkin paths of bounded amplitude
Virtualconference
Authors : Marcovici, Irène (Author of the conference)
CIRM (Publisher )
05A19 - Combinatorial identities, bijective combinatorics
60G50 - Sums of independent random variables; random walks
Additional resources :
https://www.cirm-math.fr/RepOrga/2324/Slides/slides_marcovici.pdf
CIRM (Publisher )
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Abstract :
We present some connections between two families of walks. The first family is formed by two-dimensional walks moving in three directions, and confined within a triangle. The other family consists of Motzkin paths with bounded height, in which the horizontal steps may be forbidden at maximal height. This is a joint work with Julien Courtiel and Andrew Elvey Price.
Keywords : Motzkin paths with bounded height; confined lattice walks; bijection
MSC Codes : Keywords : Motzkin paths with bounded height; confined lattice walks; bijection
05A19 - Combinatorial identities, bijective combinatorics
60G50 - Sums of independent random variables; random walks
Additional resources :
https://www.cirm-math.fr/RepOrga/2324/Slides/slides_marcovici.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 02/08/2021 Conference Date : 24/06/2021 Subseries : Research talks arXiv category : Combinatorics Mathematical Area(s) : Combinatorics Format : MP4 (.mp4) - HD Video Time : 00:32:38 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-06-24_Marcovici.mp4 
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Information on the Event
Event Title : Lattice Paths, Combinatorics and Interactions / Marches aléatoires, combinatoire et interactionsEvent Organizers : Banderier, Cyril ; Dousse, Jehanne ; Duchi, Enrica ; Krattenthaler, Christian ; Wallner, Michael Dates : 21/06/2021 - 25/06/2021 Event Year : 2021 Event URL : https://conferences.cirm-math.fr/2324.html
Citation Data
DOI : 10.24350/CIRM.V.19770103Cite this video as: Marcovici, Irène (2021). Bijections between walks inside a triangular domain and Motzkin paths of bounded amplitude. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19770103 URI : http://dx.doi.org/10.24350/CIRM.V.19770103 |
See Also
- [Virtualconference] Using symbolic dynamical programming in lattice paths combinatorics / Author of the conference Zeilberger, Doron.
- [Virtualconference] The alternating sign matrices and descending plane partitions : n+3 pairs of equivalent statistics / Author of the conference Fischer, Ilse.
- [Multi angle] Lattice paths and heaps / Author of the conference Viennot, Xavier.
- [Multi angle] Mating of discrete trees and walks in the quarter plane / Author of the conference Biane, Philippe.
- [Virtualconference] Random triangulations and bijective paths to Liouville quantum gravity / Author of the conference Holden, Nina.
Bibliography
