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Yuval Peled - Sharp Threshold for Rigidity of Random Graphs - IPAM at UCLA

Recorded 08 May 2024. Yuval Peled of the Einstein Institute of Mathematics presents "Sharp Threshold for Rigidity of Random Graphs" at IPAM's Statistical Mechanics Beyond 2D Workshop.
Abstract: Suppose that n vertices are placed generically in R^d, and consider the Erdos-Rényi evolution of random graphs, where a new uniformly distributed edge is added to the graph in every step.
We discover the moments in the evolution in which the graph becomes (with high probability)
1. Rigid: the only way to continuously move the vertices while preserving all the distances between adjacent vertices is induced by an isometric motion of R^d.
2. Globally rigid: the embedding of the vertices can be reconstructed, up to isometry, from the distances between adjacent vertices.
Joint work with Alan Lew, Eran Nevo, Orit Raz.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-iii-statistical-mechanics-beyond-2d/

Видео Yuval Peled - Sharp Threshold for Rigidity of Random Graphs - IPAM at UCLA канала Institute for Pure & Applied Mathematics (IPAM)
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9 мая 2024 г. 1:58:08
00:52:19
Institute for Pure & Applied Mathematics (IPAM)
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