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math.GR2026
Relative property (T) for uniformly bounded representations
Guillaume Dumas, Ignacio Vergara
For pairs , where is a locally compact group and is a closed subgroup of , we introduce analogous versions of the full group -algebra and the Fourie…
math.GR2026
On free components of Artin and Coxeter groups
Guillaume Dumas, Jingyin Huang, Srivatsav Kunnawalkam Elayavalli +1
The number of connected components can be remembered by the von Neumann algebra among Artin groups, the only possible exception being the case that corresponds to the free group fa…
cs.LG2026
Grokking Finite-Dimensional Algebra
Pascal Jr Tikeng Notsawo, Guillaume Dumas, Guillaume Rabusseau
This paper investigates the grokking phenomenon, which refers to the sudden transition from a long memorization to generalization observed during neural networks training, in the c…