URBAN FUNCTIONAL ZONE IDENTIFICATION BY CONSIDERING THE HETEROGENEOUS DISTRIBUTION OF POINTS OF INTERESTS



The quasiinvariants of the symmetric group

For $m$ a non-negative integer and $G$ a Coxeter group, we denote by $mathbf{QI_m}(G)$ the ring of $m$-quasiinvariants of $G$, as defined by Chalykh, Feigin, and Veselov.These form a nested series of rings, with $mathbf{QI_0}(G)$ the whole polynomial Side Step Bar ring, and the limit $mathbf{QI}_{infty}(G)$ the usual ring of invariants.Remarkably,

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