291 citations · 533 across the 19 of their papers we have counts for
23 papers
Stability of regularized Hastings-Levitov aggregation in the subcritical regime
James Norris, Vittoria Silvestri, Amanda Turner
We prove bulk scaling limits and fluctuation scaling limits for a two-parameter class ALE of continuum planar aggregation models. The class includes regularized versions of…
Scaling limits for planar aggregation with subcritical fluctuations
James Norris, Vittoria Silvestri, Amanda Turner
We study scaling limits of a family of planar random growth processes in which clusters grow by the successive aggregation of small particles. In these models, clusters are encoded…
Diffusion in small time in incomplete sub-Riemannian manifolds
Ismael Bailleul, James Norris
For incomplete sub-Riemannian manifolds, and for an associated second-order hypoelliptic operator, which need not be symmetric, we identify two alternative conditions for the valid…
Yang-Mills measure and the master field on the sphere
Antoine Dahlqvist, James Norris
We study the Yang--Mills measure on the sphere with unitary structure group. In the limit where the structure group has high dimension, we show that the traces of loop holonomies c…
Small-time fluctuations for the bridge of a sub-Riemannian diffusion
Ismael Bailleul, Laurent Mesnager, James Norris
We consider small-time asymptotics for diffusion processes conditioned by their initial and final positions, under the assumption that the diffusivity has a sub-Riemannian structur…
Measure solutions for the Smoluchowski coagulation-diffusion equation
James Norris
A notion of measure solution is formulated for a coagulation-diffusion equation, which is the natural counterpart of Smoluchowski's coagulation equation in a spatially inhomogeneou…