2 citations · 3 across the 6 of their papers we have counts for
6 papers
Rational maps with Cantor bubble Julia sets
Xiaole He, Yingqing Xiao, Fei Yang
It has been shown that Cantor bubble Julia sets can appear in the dynamics of polynomials and their singular perturbations. In this paper, we present a criterion that guarantees th…
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…
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…
Higher level Zhu algebras are subquotients of universal enveloping algebras
Xiao He
We prove that higher level Zhu algebras of a vertex operator algebra are isomorphic to subquotients of its universal enveloping algebra.
A remark on semi-infinite cohomology
Xiao He
We extend the notion of semi-infinite cohomology of Lie algebras to include cases where the Lie algebra does not admit a semi-infinite structure but satisfies a mild condition. Our…
Classification of rank two Lie conformal algebras
Rekha Biswal, Abdelkarim Chakhar, Xiao He
We give a complete classification (up to isomorphism) of Lie conformal algebras which are free of rank two as $\C[\partial]$-modules, and determine their automorphism groups.