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math.RT2025
On the boundary Carrollian conformal algebra
Lucas Buzaglo, Xiao He, Tuan Anh Pham +3
We initiate the mathematical study of the boundary Carrollian conformal algebra (BCCA), an infinite-dimensional Lie algebra recently discovered in the context of Carrollian physics…
math.DS2025
Rational maps whose Julia sets are generalized Sierpiński gaskets
Xiaole He, Yingqing Xiao, Fei Yang
It has been shown that the Sierpiński gasket-like sets can appear as the Julia sets of some geometrically finite rational maps. In this paper we prove that such type of Julia sets…