6 citations · 12 across the 3 of their papers we have counts for
5 papers
Geometric function theory: the art of pullback factorization
Chang-Yu Guo, Marshall Williams
In this paper, we develop the foundations of the theory of quasiregular mappings in general metric measure spaces. In particular, nine definitions of quasiregularity for a discrete…
Porosity of the branch set of discrete open mappings with controlled linear dilatation
Chang-Yu Guo, Marshall Williams
Assume that and are locally compact and locally doubling metric spaces, which are also generalized -manifolds, that is locally linearly locally -connected, and th…
Quasiregular mappings between equiregular SubRiemannian manifolds
Chang-Yu Guo, Sebastiano Nicolussi Golo, Marshall Williams +1
In this paper, we provide an alternative appraoch to an expectaion of Fässler et al [J. Geom. Anal. 2016] by showing that a metrically quasiregular mapping between two equiregular…
Metric currents, differentiable structures, and Carnot groups
Marshall Williams
We examine the theory of metric currents of Ambrosio and Kirchheim in the setting of spaces admitting differentiable structures in the sense of Cheeger and Keith. We prove that met…
Geometric and analytic quasiconformality in metric measure spaces
Marshall Williams
We prove the equivalence between geometric and analytic definitions of quasiconformality for a homeomorphism between arbitrary locally finite separable met…